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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 2

Dilations, Similarity, and Introducing Slope

Lesson 8: Similar Triangles

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Geometric Transformation--Translating Triangles--Example 22 Math Example--Geometric Transformation--Translating Triangles--Example 22 Math Example--Geometric Transformation--Translating Triangles--Example 22

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 3 Math Example--Geometric Transformation--Translating Triangles--Example 3 Math Example--Geometric Transformation--Translating Triangles--Example 3

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9

This is part of a collection of math examples that focus on geometric transformations.

Applications of Transformations and Applications of Triangles
Math Example--Polygons--Triangle Classification: Example 1 Math Example--Polygons--Triangle Classification: Example 1 Math Example--Polygons--Triangle Classification: Example 1

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 10 Math Example--Polygons--Triangle Classification: Example 10 Math Example--Polygons--Triangle Classification: Example 10

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 11 Math Example--Polygons--Triangle Classification: Example 11 Math Example--Polygons--Triangle Classification: Example 11

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 12 Math Example--Polygons--Triangle Classification: Example 12 Math Example--Polygons--Triangle Classification: Example 12

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 13 Math Example--Polygons--Triangle Classification: Example 13 Math Example--Polygons--Triangle Classification: Example 13

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 14 Math Example--Polygons--Triangle Classification: Example 14 Math Example--Polygons--Triangle Classification: Example 14

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 15 Math Example--Polygons--Triangle Classification: Example 15 Math Example--Polygons--Triangle Classification: Example 15

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 16 Math Example--Polygons--Triangle Classification: Example 16 Math Example--Polygons--Triangle Classification: Example 16

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 17 Math Example--Polygons--Triangle Classification: Example 17 Math Example--Polygons--Triangle Classification: Example 17

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 18 Math Example--Polygons--Triangle Classification: Example 18 Math Example--Polygons--Triangle Classification: Example 18

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 19 Math Example--Polygons--Triangle Classification: Example 19 Math Example--Polygons--Triangle Classification: Example 19

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 2 Math Example--Polygons--Triangle Classification: Example 2 Math Example--Polygons--Triangle Classification: Example 2

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 20 Math Example--Polygons--Triangle Classification: Example 20 Math Example--Polygons--Triangle Classification: Example 20

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 21 Math Example--Polygons--Triangle Classification: Example 21 Math Example--Polygons--Triangle Classification: Example 21

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 22 Math Example--Polygons--Triangle Classification: Example 22 Math Example--Polygons--Triangle Classification: Example 22

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 23 Math Example--Polygons--Triangle Classification: Example 23 Math Example--Polygons--Triangle Classification: Example 23

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 24 Math Example--Polygons--Triangle Classification: Example 24 Math Example--Polygons--Triangle Classification: Example 24

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 3 Math Example--Polygons--Triangle Classification: Example 3 Math Example--Polygons--Triangle Classification: Example 3

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 4 Math Example--Polygons--Triangle Classification: Example 4 Math Example--Polygons--Triangle Classification: Example 4

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 5 Math Example--Polygons--Triangle Classification: Example 5 Math Example--Polygons--Triangle Classification: Example 5

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 6 Math Example--Polygons--Triangle Classification: Example 6 Math Example--Polygons--Triangle Classification: Example 6

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 7 Math Example--Polygons--Triangle Classification: Example 7 Math Example--Polygons--Triangle Classification: Example 7

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 8 Math Example--Polygons--Triangle Classification: Example 8 Math Example--Polygons--Triangle Classification: Example 8

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Polygons--Triangle Classification: Example 9 Math Example--Polygons--Triangle Classification: Example 9 Math Example--Polygons--Triangle Classification: Example 9

This is part of a collection of math examples that focus on geometric shapes.

Definition of a Triangle
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 1 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 1 Equations Using the Exterior Angle Theorem--Example 1

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 10 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 10 Equations Using the Exterior Angle Theorem--Example 10

Topic

Equations

Description

This example illustrates a more complex application of the Exterior Angle Theorem in solving triangle-related equations. In this scenario, we have a triangle with one known interior angle of 35°, an unknown interior angle y, and an unknown exterior angle x. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Here, the equation is set up as x = 35° + y. Furthermore, the angles 3x and x are supplementary, allowing you to solve for x. Having solved for x, you can then solve for y.

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 2 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 2 Equations Using the Exterior Angle Theorem--Example 2

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 3 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 3 Equations Using the Exterior Angle Theorem--Example 3

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 4 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 4 Equations Using the Exterior Angle Theorem--Example 4

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 5 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 5 Equations Using the Exterior Angle Theorem--Example 5

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 6 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 6 Equations Using the Exterior Angle Theorem--Example 6

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 7 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 7 Equations Using the Exterior Angle Theorem--Example 7

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 8 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 8 Equations Using the Exterior Angle Theorem--Example 8

Topic

Equations

Applications of Triangles
Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 9 Math Example--Solving Equations--Equations Using the Exterior Angle Theorem--Example 9 Equations Using the Exterior Angle Theorem--Example 9

Topic

Equations

Description

This example presents a more challenging application of the Exterior Angle Theorem in solving triangle-related equations. In this scenario, we have a triangle with one known interior angle of 25°, an unknown interior angle y, and an unknown exterior angle x. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Here, the equation is set up as x = 25° + y. 

You can also use the fact that x and 2x are supplementary, allowing you to solve for x. By solving for x, you can then solve for y using the triangle equation.

Applications of Triangles
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 1 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 1 Equations with Angles from Parallel Lines Cut by a Transversal--Example 1

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 10 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 10 Equations with Angles from Parallel Lines Cut by a Transversal--Example 10

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 2 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 2 Equations with Angles from Parallel Lines Cut by a Transversal--Example 2

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 3 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 3

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 4 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 4 Equations with Angles from Parallel Lines Cut by a Transversal--Example 4

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 5 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 5

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 6 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 6 Equations with Angles from Parallel Lines Cut by a Transversal--Example 6

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 7 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 7 Equations with Angles from Parallel Lines Cut by a Transversal--Example 7

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities