edcom-728x90

IXL Ad

Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 14: Alternate Interior Angles

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art: Parallel Lines Cut by a Transversal, Image 20 Math Clip Art: Parallel Lines Cut by a Transversal 20 Math Clip Art: Parallel Lines Cut by a Transversal 20

Topic

Geometry

Description

This math clip art image is the final in a series illustrating the properties of parallel lines cut by a transversal. It focuses on another pair of same side exterior angles, reinforcing the concept that these angles are supplementary when parallel lines are cut by a transversal. The image uses distinct color coding to identify this second pair of same side exterior angles, providing students with a comprehensive view of all angle relationships in this configuration.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 3 Math Clip Art: Parallel Lines Cut by a Transversal 3 Math Clip Art: Parallel Lines Cut by a Transversal 3

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It specifically highlights alternate interior angles, showing that they are congruent when parallel lines are cut by a transversal. The image uses color coding to clearly identify the alternate interior angles, making it easier for students to visualize this important geometric relationship.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 4 Math Clip Art: Parallel Lines Cut by a Transversal 4 Math Clip Art: Parallel Lines Cut by a Transversal 4

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It focuses on another pair of alternate interior angles, reinforcing the concept that these angles are congruent when parallel lines are cut by a transversal. The image uses distinct color coding to identify this second pair of alternate interior angles, providing students with a clear visual representation of this geometric relationship.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 5 Math Clip Art: Parallel Lines Cut by a Transversal 5 Math Clip Art: Parallel Lines Cut by a Transversal 5

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights alternate exterior angles, demonstrating that these angles are congruent when parallel lines are cut by a transversal. The image uses color coding to clearly identify the alternate exterior angles, making it easier for students to visualize and understand this geometric relationship.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 6 Math Clip Art: Parallel Lines Cut by a Transversal 6 Math Clip Art: Parallel Lines Cut by a Transversal 6

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It focuses on alternate exterior angles, demonstrating that these angles are congruent when parallel lines are cut by a transversal. The image uses color coding to clearly identify another pair of alternate exterior angles, reinforcing the concept introduced in the previous image.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 7 Math Clip Art: Parallel Lines Cut by a Transversal 7 Math Clip Art: Parallel Lines Cut by a Transversal 7

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights corresponding angles, demonstrating that these angles are congruent when parallel lines are cut by a transversal. The image uses color coding to clearly identify a pair of corresponding angles, making it easier for students to visualize and understand this geometric relationship.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 8 Math Clip Art: Parallel Lines Cut by a Transversal 8 Math Clip Art: Parallel Lines Cut by a Transversal 8

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It focuses on another pair of corresponding angles, reinforcing the concept that these angles are congruent when parallel lines are cut by a transversal. The image uses distinct color coding to identify this second pair of corresponding angles, providing students with a clear visual representation of this geometric relationship.

Parallel Lines
Math Clip Art: Parallel Lines Cut by a Transversal, Image 9 Math Clip Art: Parallel Lines Cut by a Transversal 9 Math Clip Art: Parallel Lines Cut by a Transversal 9

Topic

Geometry

Description

This math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights yet another pair of corresponding angles, further reinforcing the concept that these angles are congruent when parallel lines are cut by a transversal. The image uses a unique color coding to identify this third pair of corresponding angles, providing students with multiple examples of this geometric relationship.

Parallel Lines
Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. Two "T" shapes are shown on a grid, labeled "Before" and "After". The "Before" shape on the left is translated to become the "After" shape on the right, illustrating how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10

Topic

Transformations

Description

This example showcases a combination of reflection and translation in geometric transformations. Two circular "O" shapes are displayed on a grid, one labeled "Before" and the other "After". A red dashed line indicates the axis of reflection. The transformation involves first reflecting the shape across this axis and then translating it to a new position. This demonstrates how multiple transformations can be applied in sequence to create more complex movements.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 11 Math Example--Geometric Transformation--Transformations: Example 11 Math Example--Geometric Transformation--Transformations: Example 11

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. Two circular "O" shapes are shown on a grid, one labeled "Before" and the other "After". The shape undergoes a rotation around a point indicated by a pushpin, which serves as the axis of rotation. This illustrates how an object can change its orientation without altering its size or position relative to the rotation point.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 12 Math Example--Geometric Transformation--Transformations: Example 12 Math Example--Geometric Transformation--Transformations: Example 12

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. Two circular "O" shapes are displayed on a grid, one labeled "Before" and the other "After". The transformation involves two steps: first, a rotation around a point indicated by a pushpin, which serves as the axis of rotation, followed by a reflection across a red dashed line representing the axis of reflection. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in orientation and position.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 13 Math Example--Geometric Transformation--Transformations: Example 13 Math Example--Geometric Transformation--Transformations: Example 13

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. Two grids are shown with the letter "O" before and after a transformation. The "Before" grid has the "O" on the left side, while the "After" grid has it on the right side. A red dashed line indicates the axis of reflection in the middle of the two "O"s. Below, there is a diagram showing the reflection transformation along this axis, illustrating how the shape is flipped across the line while maintaining its size and shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 14 Math Example--Geometric Transformation--Transformations: Example 14 Math Example--Geometric Transformation--Transformations: Example 14

Topic

Transformations

Description

This example illustrates a complex combination of transformations: translation, rotation, and reflection. Two grids are shown with an "O" shape before and after transformations. The "Before" grid has an "O" with a red dot at its center, while the "After" grid shows the same "O" but rotated and reflected. Below, a step-by-step diagram illustrates three sequential transformations: first, a translation moves the shape, then a rotation turns it around a pushpin (indicating the axis of rotation), and finally, a reflection flips it across a red dashed line.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 15 Math Example--Geometric Transformation--Transformations: Example 15 Math Example--Geometric Transformation--Transformations: Example 15

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. Two grids are displayed with the letter "F" before and after a transformation. The "Before" grid shows an "F" on the left side, and the "After" grid shows it on the right side. Below, there is an arrow indicating that only a translation occurred between the two positions of the letter, showcasing how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 16 Math Example--Geometric Transformation--Transformations: Example 16 Math Example--Geometric Transformation--Transformations: Example 16

Topic

Transformations

Description

This example demonstrates a combination of translation and rotation in geometric transformations. Two grids are shown with the letter "F" before and after transformations. The "Before" grid has an upright "F", while the "After" grid shows it rotated 90 degrees clockwise. Below, there is a diagram illustrating two steps: first, a translation moves the shape, then a rotation turns it around a pushpin axis.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 17 Math Example--Geometric Transformation--Transformations: Example 17 Math Example--Geometric Transformation--Transformations: Example 17

Topic

Transformations

Description

This example illustrates a combination of reflection and translation in geometric transformations. The image shows a large letter "F" on a grid transforming into a letter "L". The transformation involves two steps: first, a reflection across an axis represented by a red dashed line, and then a translation to a new position.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 18 Math Example--Geometric Transformation--Transformations: Example 18 Math Example--Geometric Transformation--Transformations: Example 18

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image shows the letter "F" on a grid being rotated to form the same letter in a different orientation. A pushpin indicates the axis of rotation, and an arrow shows the direction of rotation, illustrating how an object can change its orientation without altering its size or shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 19 Math Example--Geometric Transformation--Transformations: Example 19 Math Example--Geometric Transformation--Transformations: Example 19

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. The image shows the letter "F" being transformed into an upside-down version of itself. This transformation involves two steps: first, a rotation around an axis indicated by a pushpin, followed by a reflection across a line represented by a red dashed line.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 2 Math Example--Geometric Transformation--Transformations: Example 2 Math Example--Geometric Transformation--Transformations: Example 2

Topic

Transformations

Description

This example illustrates a combination of transformations: translation and rotation. Two "T" shapes are shown on a grid, labeled "Before" and "After". The shape undergoes a translation (movement) and a rotation, with a pushpin indicating the axis of rotation. This demonstrates how multiple transformations can be applied sequentially to a shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 20 Math Example--Geometric Transformation--Transformations: Example 20 Math Example--Geometric Transformation--Transformations: Example 20

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. The image shows the letter "F" being reflected to form the letter "L". A red dashed line indicates the axis of reflection, illustrating how the letter changes its orientation through this single transformation. This showcases how an object can be flipped over a line while changing its shape and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 21 Math Example--Geometric Transformation--Transformations: Example 21 Math Example--Geometric Transformation--Transformations: Example 21

Topic

Transformations

Description

This example demonstrates a complex combination of transformations: translation, rotation, and reflection. The image shows an uppercase letter "F" on a grid labeled "Before" and a transformed version of the letter "F" upside down on another grid labeled "After." Below, there are illustrations showing the three steps of the transformation process.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 22 Math Example--Geometric Transformation--Transformations: Example 22 Math Example--Geometric Transformation--Transformations: Example 22

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. The image shows an uppercase letter "Z" on a grid labeled "Before" and a horizontally shifted version of the same letter on another grid labeled "After." Below, there is an illustration showing just a translation, indicating that the letter "Z" is moved horizontally without any rotation or reflection.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 23 Math Example--Geometric Transformation--Transformations: Example 23 Math Example--Geometric Transformation--Transformations: Example 23

Topic

Transformations

Description

This example illustrates a combination of translation and rotation in geometric transformations. The image shows an uppercase letter "Z" on a grid labeled "Before" and an uppercase letter "N" on another grid labeled "After." Below, there are illustrations showing the two steps of the transformation: first a translation (moving the figure) followed by a rotation (turning the figure). A pushpin indicates the axis of rotation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 24 Math Example--Geometric Transformation--Transformations: Example 24 Math Example--Geometric Transformation--Transformations: Example 24

Topic

Transformations

Description

This example demonstrates a combination of reflection and translation in geometric transformations. The image shows an uppercase letter "Z" on a grid labeled "Before" and a rotated and translated version of the same letter in another position on another grid labeled "After." Below, there are illustrations showing the two steps of the transformation: first, a reflection (flipping the figure across an axis shown by the red dashed line) and then a translation (moving the figure).

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 25 Math Example--Geometric Transformation--Transformations: Example 25 Math Example--Geometric Transformation--Transformations: Example 25

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image shows a transformation of the letter "Z" from an upright position to a rotated position resembling "N". The grid background helps visualize the transformation, and a pushpin icon indicates the axis of rotation, illustrating how an object can change its orientation without altering its size or shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 26 Math Example--Geometric Transformation--Transformations: Example 26 Math Example--Geometric Transformation--Transformations: Example 26

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. The image shows a transformation of the letter "Z" into an upside-down "N". A pushpin indicates the axis of rotation, and a red dashed line represents the axis of reflection. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in orientation and position.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 27 Math Example--Geometric Transformation--Transformations: Example 27 Math Example--Geometric Transformation--Transformations: Example 27

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. The image shows a reflection of the letter "Z" across a horizontal red dashed line, resulting in a backward "Z". The grid background helps visualize the reflection, illustrating how an object can be flipped over a line while maintaining its size and shape but changing its orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 28 Math Example--Geometric Transformation--Transformations: Example 28 Math Example--Geometric Transformation--Transformations: Example 28

Topic

Transformations

Description

This example demonstrates a complex combination of transformations: translation, rotation, and reflection. The image shows a transformation of the letter "Z" into an upside-down "N". This transformation involves three steps: first, a translation moves the shape, then a rotation turns it (indicated by a pushpin showing the axis of rotation), and finally, a reflection flips it across a red dashed line representing the axis of reflection.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 29 Math Example--Geometric Transformation--Transformations: Example 29 Math Example--Geometric Transformation--Transformations: Example 29

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. The image shows a "Before" and "After" transformation of a black square on a grid. The square moves horizontally to the right, and a dotted arrow indicates the direction of movement. This showcases how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 3 Math Example--Geometric Transformation--Transformations: Example 3 Math Example--Geometric Transformation--Transformations: Example 3

Topic

Transformations

Description

This example showcases a combination of reflection and translation in geometric transformations. Two "T" shapes are displayed on a grid, labeled "Before" and "After". The shape is first reflected across a red dashed line (the axis of reflection) and then translated to a new position. This demonstrates how multiple transformations can be applied in sequence to create more complex movements.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 30 Math Example--Geometric Transformation--Transformations: Example 30 Math Example--Geometric Transformation--Transformations: Example 30

Topic

Transformations

Description

This example illustrates a combination of translation and rotation in geometric transformations. The image depicts a "Before" and "After" transformation of a black square on a grid. The square moves down and rotates 90 degrees clockwise. A pushpin marks the axis of rotation, and dotted arrows indicate the movement and rotation. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 31 Math Example--Geometric Transformation--Transformations: Example 31 Math Example--Geometric Transformation--Transformations: Example 31

Topic

Transformations

Description

This example demonstrates a combination of reflection and translation in geometric transformations. The image shows a "Before" and "After" transformation of a black rectangle on a grid. The rectangle first reflects across a horizontal axis, marked by a red dashed line, and then translates horizontally to the right. This illustrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 32 Math Example--Geometric Transformation--Transformations: Example 32 Math Example--Geometric Transformation--Transformations: Example 32

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image shows a "Before" and "After" transformation of a black rectangle on a grid. The rectangle rotates 90 degrees clockwise around an axis marked by a pushpin. This illustrates how an object can change its orientation without altering its size or shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 33 Math Example--Geometric Transformation--Transformations: Example 33 Math Example--Geometric Transformation--Transformations: Example 33

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. The image shows a transformation of a black L-shaped figure on a grid. The "Before" figure is at the top left, and the "After" figure is at the top right. Below, there is a sequence of two transformations: first, a rotation (indicated by a pushpin showing the axis of rotation), followed by a reflection (shown by a red dashed line representing the axis of reflection).

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 34 Math Example--Geometric Transformation--Transformations: Example 34 Math Example--Geometric Transformation--Transformations: Example 34

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. The image shows a black L-shaped figure on a grid. The "Before" figure is at the top left, and the "After" figure is at the top right. Below, there is a single transformation: a reflection across a vertical axis shown with a red dashed line. This showcases how an object can be flipped over a line while maintaining its size and shape but changing its orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 35 Math Example--Geometric Transformation--Transformations: Example 35 Math Example--Geometric Transformation--Transformations: Example 35

Topic

Transformations

Description

This example demonstrates a complex combination of transformations: translation, rotation, and reflection. The image shows a black L-shaped figure with a red dot on a grid. The "Before" figure is at the top left, and the "After" figure is at the top right. Below, there are three transformations: first, a translation moves the shape, then a rotation turns it around an axis shown by a pushpin, and finally, a reflection flips it across an axis shown by a red dashed line.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 36 Math Example--Geometric Transformation--Transformations: Example 36 Math Example--Geometric Transformation--Transformations: Example 36

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. The image shows two hexagons on grids. The "Before" figure is at the top left, and the "After" figure is at the top right. Below, there is a single transformation: translation, as indicated by an arrow showing movement from one position to another. This showcases how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 37 Math Example--Geometric Transformation--Transformations: Example 37 Math Example--Geometric Transformation--Transformations: Example 37

Topic

Transformations

Description

This example illustrates a combination of translation and rotation in geometric transformations. The image shows a hexagon on a grid, with a "Before" and "After" transformation. The pushpin indicates the axis of rotation, and the hexagon is translated and rotated. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 38 Math Example--Geometric Transformation--Transformations: Example 38 Math Example--Geometric Transformation--Transformations: Example 38

Topic

Transformations

Description

This example demonstrates a combination of reflection and translation in geometric transformations. The image shows a hexagon on a grid, with a "Before" and "After" transformation. A red dashed line shows the axis of reflection, followed by a translation. This illustrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 39 Math Example--Geometric Transformation--Transformations: Example 39 Math Example--Geometric Transformation--Transformations: Example 39

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image shows a hexagon on a grid, with a "Before" and "After" transformation. A pushpin indicates the axis of rotation, and only one transformation occurs. This illustrates how an object can change its orientation without altering its size or shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 4 Math Example--Geometric Transformation--Transformations: Example 4 Math Example--Geometric Transformation--Transformations: Example 4

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. Two "T" shapes are shown on a grid, labeled "Before" and "After". The shape undergoes a rotation around a point indicated by a pushpin, which serves as the axis of rotation. This illustrates how an object can change its orientation without altering its size or position relative to the rotation point.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 40 Math Example--Geometric Transformation--Transformations: Example 40 Math Example--Geometric Transformation--Transformations: Example 40

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. The image shows a hexagon on a grid, with a "Before" and "After" transformation. A pushpin indicates the axis of rotation, and a red dashed line shows the axis of reflection. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in orientation and position.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 41 Math Example--Geometric Transformation--Transformations: Example 41 Math Example--Geometric Transformation--Transformations: Example 41

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. The image shows two hexagons on a grid, labeled "Before" and "After." The hexagon is reflected over a vertical axis, with a red dashed line indicating the reflection axis. This illustrates how an object can be flipped over a line while maintaining its size and shape but changing its orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 42 Math Example--Geometric Transformation--Transformations: Example 42 Math Example--Geometric Transformation--Transformations: Example 42

Topic

Transformations

Description

This example demonstrates a complex combination of transformations: translation, rotation, and reflection. The image shows two hexagons on a grid, labeled "Before" and "After." There are three transformations: first, a translation moves the shape, then a rotation turns it (indicated by a pushpin showing the axis of rotation), and finally, a reflection flips it across a red dashed line representing the axis of reflection.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 43 Math Example--Geometric Transformation--Transformations: Example 43 Math Example--Geometric Transformation--Transformations: Example 43

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. The image shows two house icons on a grid, labeled "Before" and "After." The house is translated horizontally to the right, with an arrow indicating the movement direction. This showcases how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 44 Math Example--Geometric Transformation--Transformations: Example 44 Math Example--Geometric Transformation--Transformations: Example 44

Topic

Transformations

Description

This example illustrates a combination of translation and rotation in geometric transformations. The image shows two house icons on a grid, labeled "Before" and "After." Two transformations occur: translation (shown by an arrow) and rotation (shown by a pushpin). This demonstrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 45 Math Example--Geometric Transformation--Transformations: Example 45 Math Example--Geometric Transformation--Transformations: Example 45

Topic

Transformations

Description

This example demonstrates a combination of reflection and translation in geometric transformations. The image shows two figures labeled as "Before" and "After." The left figure illustrates a shape on a grid, while the right figure shows the same shape after a transformation involving reflection and translation, marked with a dashed red line. This illustrates how multiple transformations can be applied sequentially to create more complex changes in position and orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 46 Math Example--Geometric Transformation--Transformations: Example 46 Math Example--Geometric Transformation--Transformations: Example 46

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image presents two figures labeled "Before" and "After." The left figure shows a shape on a grid, while the right one displays the same shape after a rotation around a specified point marked with a pushpin. This illustrates how an object can change its orientation without altering its size or shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 47 Math Example--Geometric Transformation--Transformations: Example 47 Math Example--Geometric Transformation--Transformations: Example 47

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. Two figures are presented, labeled "Before" and "After." The left figure shows the original shape on a grid, while the right figure depicts the shape after undergoing a combination of transformations: first, a rotation around a point indicated by a pushpin, followed by a reflection across a dashed red line.

Definition of Transformations