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.
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Interactive Media Collection: Parallel Lines |
OverviewThis collection aggregates all the math videos and other resources on the topic of Parallel Lines. There are 13 resources.
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Point-Slope Form, Slope-Intercept Form, Parallel Lines, Slope, Definition of a Quadrilateral and Perpendicular Lines |
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Math Examples Collection: Equations with Angle Measures | OverviewThis collection of examples focuses on Solving Equations Using Angle Measures and Properties, offering a comprehensive set of problems that progressively increase in complexity. The examples cover a range of skills, including applying angle relationships, using geometric properties, and solving multi-step equations. |
Solving Multistep Equations, Applications of Angles and Planes, Applications of Quadrilaterals, Applications of Equations and Inequalities and Definition of an Angle |
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Math Examples Collection: Transformations | OverviewThe Transformations collection on Media4Math offers a comprehensive set of 56 math examples, providing educators with a rich resource for teaching geometric transformations. This collection covers a wide range of skills and concepts related to transformations, including translations, reflections, rotations, and dilations. |
Definition of Transformations |
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Math Clip Art Collection: Angles |
OverviewThis collection aggregates all the math clip art around the topic of Angles. There are a total of 22 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.To download the full set of these resources, click on this link.
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Angles and Applications of Angles and Planes |
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Math Clip Art Collection: Parallel Lines Cut by a Transversal | OverviewThis collection of math clip art focuses on the geometric concept of parallel lines cut by a transversal. The sequence of images provides a visual representation of this important topic, making it an excellent resource for introducing and teaching the subject to students. The clip art illustrates key concepts such as corresponding angles, alternate interior angles, alternate exterior angles, and same-side interior angles. |
Parallel Lines |
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Math Clip Art Collection: Points, Lines, Segments, and Rays |
OverviewThis collection aggregates all the math clip art around the topic of Points, Lines, Segments, and Rays. There are a total of 18 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.To download the full set of these resources, click on this link.
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Applications of Points and Lines, Parallel Lines, Perpendicular Lines, Applications of Coordinate Geometry and Coordinate Systems |
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Math Video Collection: Geometry Applications Video Series: Transformations |
OverviewThis collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Transformations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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Applications of Transformations and Definition of Transformations |
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Math Examples Collection: Equations with Angles from Parallel Lines Cut by a Transversal |
OverviewThis collection aggregates all the math examples around the topic of Equations with Angles from Parallel Lines Cut by a Transversal. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.
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Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities |
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Test Prep Interactive Quizzes | Addition Facts to 10, Addition Facts to 25, Addition Facts to 100, Place Value, Subtraction Facts to 100, Definition of an Angle, Solving One-Step Equations, Graphs of Linear Functions, Slope, Slope-Intercept Form and Counting | |
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Math Definitions Collection: Geometry Theorems and Postulates |
OverviewThis collection aggregates all the definition image cards around the topic of Theorems and Postulates terms and vocabulary. There are a total of 18 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.
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Definition of a Triangle, Definition of an Angle, Right Triangles and Definition of a Line |
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Math Examples Collection: Equations Using the Exterior Angle Theorem | OverviewThis collection aggregates all the math examples around the topic of Equations Using the Exterior Angle Theorem. There are a total of 10 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.To learn more about Media4Math's Math Examples, click on this video link.
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Applications of Triangles |
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Google Earth Voyager Collection | OverviewThe Google Earth Voyager Story Collection offers an engaging set of lessons focused on geometric models, leveraging the immersive capabilities of Google Earth. This collection enables students to explore a variety of geometric concepts through real-world applications, enhancing their understanding of geometry, architecture, and culture. Each lesson is designed to develop geometric skills such as understanding shapes, symmetry, scale, and spatial reasoning. |
Perpendicular Lines, Parallel Lines, Applications of Points and Lines, Applications of Circles, Cylinders, Applications of Angles and Planes, Applications of Polygons, Pyramids, Triangular Prisms, Rectangular Prisms, 3-Dimensional Figures, Applications of Surface Area and Volume, Rational Functions and Equations, Surface Area, Volume, Applications of Triangles and Applications of Quadrilaterals |
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Animated Math Clip Art Collection: Parallel Lines | OverviewThe collection of animated math clip art on the topic of "Parallel Lines Cut by a Transversal" from Media4Math includes a variety of resources designed to enhance the teaching and understanding of this geometric concept. This collection features a total of 8 animated images that visually demonstrate the relationships between angles formed when parallel lines are intersected by a transversal. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 1 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 1TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 2 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 2TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating alternate interior angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 3 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 3TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating alternate exterior angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 4 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 4TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating corresponding angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 5 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 5TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating vertical angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 6 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 6TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating pairs of supplementary angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 7 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 7TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating same side interior angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Animated Math Clip Art--Parallel Lines Cut by a Transversal 8 | Animated Math Clip Art--Parallel Lines Cut by a Transversal 8TopicParallel Lines DescriptionThis animated clip shows how a transversal intersects parallel lines, creating same side exterior angles that illustrate the properties of parallel lines in geometry. In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot. |
Parallel Lines |
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Closed Captioned Video: Geometry Applications: Transformations | Closed Captioned Video: Geometry Applications: Transformations
In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. In the second example we look at translations in three-dimensional space in the context of cargo ships. In the third example, we look at the design of observatories to look at rotations, reflections, and symmetry. |
Definition of Transformations and Applications of Transformations |
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Closed Captioned Video: Geometry Applications: Transformations, 2 | Closed Captioned Video: Geometry Applications: Transformations, Segment 2: 3D Translations.
Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations. |
Definition of Transformations and Applications of Transformations |
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Closed Captioned Video: Geometry Applications: Transformations, 3 | Closed Captioned Video: Geometry Applications: Transformations, Segment 1: Translations and Rotations.
Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced. |
Definition of Transformations and Applications of Transformations |
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Closed Captioned Video: Geometry Applications: Transformations, 3 | Closed Captioned Video: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry.
The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry. |
Definition of Transformations and Applications of Transformations |
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Collections in a Box: Parallel and Perpendicular Lines | This cheat sheet gathers together the resources on the topic of parallel and perpendicular lines. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found. Subscribers can download the PDF version of this cheat sheet. Click Preview to see the HTML version. |
Geometric Constructions with Points and Lines, Parallel Lines and Perpendicular Lines |
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Definition--Theorems and Postulates--Alternate Interior Angles Theorem | Definition--Theorems and Postulates--Alternate Interior Angles Theorem
This is part of a collection of definitions of geometric theorems and postulates. |
Definition of an Angle |
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Definition--Theorems and Postulates--Converse of the Alternate Interior Angles Theorem | Definition--Theorems and Postulates--Converse of the Alternate Interior Angles Theorem
This is part of a collection of definitions of geometric theorems and postulates. |
Definition of an Angle |
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Definition--Theorems and Postulates--Exterior Angle Theorem | Definition--Theorems and Postulates--Exterior Angle Theorem
This is part of a collection of definitions of geometric theorems and postulates. |
Definition of a Triangle |
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Google Earth Voyager Story: The Geometry of City Planning, Part 1 | Google Earth Voyager Story: The Geometry of City Planning, Part 1TopicGeometric Models |
Perpendicular Lines and Parallel Lines |
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Google Earth Voyager Story: The Geometry of City Planning, Part 2 | Google Earth Voyager Story: The Geometry of City Planning, Part 2TopicGeometric Models |
Perpendicular Lines, Parallel Lines and Applications of Points and Lines |
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INSTRUCTIONAL RESOURCE: Math Examples 43 | INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Classification
This set of tutorials provides 34 examples of the types of quadrilaterals and how to classify quadrilaterals based on the sides and angles. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Definition of a Quadrilateral |
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Math Clip Art--Angle Illustrations--Adjacent Angles--Labeled | Math Clip Art--Angle Illustrations--Adjacent Angles--Labeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art--Angle Illustrations--Adjacent Angles--Unlabeled | Math Clip Art--Angle Illustrations--Adjacent Angles--Unlabeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art--Angle Illustrations--Supplementary Angles--Labeled | Math Clip Art--Angle Illustrations--Supplementary Angles--Labeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art--Angle Illustrations--Supplementary Angles--Unlabeled | Math Clip Art--Angle Illustrations--Supplementary Angles--Unlabeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art--Angle Illustrations--Vertical Angles--Labeled | Math Clip Art--Angle Illustrations--Vertical Angles--Labeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art--Angle Illustrations--Vertical Angles--Unlabeled | Math Clip Art--Angle Illustrations--Vertical Angles--Unlabeled
This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version. |
Angles and Applications of Angles and Planes |
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Math Clip Art: Parallel Lines Cut by a Transversal 1 | Math Clip Art: Parallel Lines Cut by a Transversal 1TopicGeometry DescriptionThis math clip art image is part of a series that illustrates the properties of parallel lines cut by a transversal. In this particular image, we see two parallel lines without a transversal, serving as an introduction to the concept. The image is designed to help students visualize and understand the fundamental idea of parallel lines before exploring more complex relationships. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 10 | Math Clip Art: Parallel Lines Cut by a Transversal 10TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It showcases a fourth pair of corresponding angles, solidifying the concept that these angles are congruent when parallel lines are cut by a transversal. The image uses a distinct color coding to identify this final pair of corresponding angles, providing students with a comprehensive view of all possible corresponding angle pairs in this configuration. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 11 | Math Clip Art: Parallel Lines Cut by a Transversal 11TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights vertical angles, demonstrating that these angles are congruent when any two lines intersect. The image uses color coding to clearly identify a pair of vertical angles, making it easier for students to visualize and understand this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 12 | Math Clip Art: Parallel Lines Cut by a Transversal 12TopicGeometry DescriptionThis 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 vertical angles, reinforcing the concept that these angles are congruent when any two lines intersect. The image uses distinct color coding to identify this second pair of vertical angles, providing students with a clear visual representation of this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 13 | Math Clip Art: Parallel Lines Cut by a Transversal 13TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights supplementary angles, demonstrating that certain pairs of angles formed by parallel lines and a transversal are supplementary (their measures add up to 180°). The image uses color coding to clearly identify a pair of supplementary angles, making it easier for students to visualize and understand this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 14 | Math Clip Art: Parallel Lines Cut by a Transversal 14TopicGeometry DescriptionThis 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 supplementary angles, reinforcing the concept that certain pairs of angles formed by parallel lines and a transversal are supplementary. The image uses distinct color coding to identify this second pair of supplementary angles, providing students with a clear visual representation of this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 15 | Math Clip Art: Parallel Lines Cut by a Transversal 15TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It showcases a third pair of supplementary angles, solidifying the concept that certain pairs of angles formed by parallel lines and a transversal are supplementary. The image uses a unique color coding to identify this pair of supplementary angles, providing students with multiple examples of this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 16 | Math Clip Art: Parallel Lines Cut by a Transversal 16TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It showcases a fourth pair of supplementary angles, reinforcing the concept that certain pairs of angles formed by parallel lines and a transversal are supplementary (their measures add up to 180°). The image uses distinct color coding to identify this pair of supplementary angles, providing students with a comprehensive view of all possible supplementary angle pairs in this configuration. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 17 | Math Clip Art: Parallel Lines Cut by a Transversal 17TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights same side interior angles, demonstrating that these angles are supplementary (their measures add up to 180°) when parallel lines are cut by a transversal. The image uses color coding to clearly identify a pair of same side interior angles, making it easier for students to visualize and understand this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 18 | Math Clip Art: Parallel Lines Cut by a Transversal 18TopicGeometry DescriptionThis 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 same side interior 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 interior angles, providing students with a clear visual representation of this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 19 | Math Clip Art: Parallel Lines Cut by a Transversal 19TopicGeometry DescriptionThis math clip art image is part of a series illustrating the properties of parallel lines cut by a transversal. It highlights same side exterior angles, demonstrating that these angles are supplementary (their measures add up to 180°) when parallel lines are cut by a transversal. The image uses color coding to clearly identify a pair of same side exterior angles, making it easier for students to visualize and understand this geometric relationship. |
Parallel Lines |
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Math Clip Art: Parallel Lines Cut by a Transversal 2 | Math Clip Art: Parallel Lines Cut by a Transversal 2TopicGeometry DescriptionThis math clip art image is the second in a series illustrating the properties of parallel lines cut by a transversal. It shows two parallel lines intersected by a third line, known as a transversal. This visual representation is crucial for introducing students to the concept of parallel lines cut by a transversal and the various angle relationships that result from this configuration. |
Parallel Lines |
