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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 13: Congruence

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art Math Clip Art Collection: Triangles

Overview

This collection aggregates all the math clip art around the topic of Triangles. There are a total of 14 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.

 

 Applications of Coordinate Geometry, Applications of Triangles, Definition of a Triangle and Right Triangles
Math Examples Math Examples Collection: Analyzing Congruent Shapes

Overview

This collection aggregates all the math examples around the topic of Analyzing Congruent Shapes. There are a total of 9 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.

 

 Definition of a Triangle
Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles Closed Captioned Video: Geometry Applications: Triangles, 2 Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles

The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.

 Definition of a Triangle and Applications of Triangles
Definition--Geometry Basics--Congruence Definition--Geometry Basics--Congruence Congruence

Topic

Geometry Basics

Definition

Congruence refers to figures or shapes that have the same size and shape.

Description

Congruence is a fundamental concept in geometry, indicating that two figures are identical in form and dimensions. This concept is essential for understanding geometric transformations and proving the properties of shapes. For instance, two triangles are congruent if their corresponding sides and angles are equal. Congruence is used in various real-world applications, such as engineering and architecture, to ensure precision and accuracy in design and construction.

 Definition of Transformations
Definition--Geometry Basics--Similarity Definition--Geometry Basics--Similarity Similarity

Topic

Geometry Basics

Definition

Similarity refers to figures that have the same shape but not necessarily the same size.

Description

Similarity is a key concept in geometry, used to compare shapes and solve problems involving proportions. For example, two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional. Understanding similarity helps in solving problems related to scaling, resizing, and geometric transformations. This concept is widely used in fields such as art, design, and architecture to create proportional and aesthetically pleasing structures.

 Proportions
Definition--Theorems and Postulates--AAS Theorem Definition--Theorems and Postulates--AAS Theorem Definition--Theorems and Postulates--AAS Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Triangle
Definition--Theorems and Postulates--ASA Theorem Definition--Theorems and Postulates--ASA Theorem Definition--Theorems and Postulates--ASA Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of an Angle
Definition--Theorems and Postulates--HL Theorem Definition--Theorems and Postulates--HL Theorem Definition--Theorems and Postulates--HL Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Right Triangles
Definition--Theorems and Postulates--SAS Similarity Theorem Definition--Theorems and Postulates--SAS Similarity Theorem Definition--Theorems and Postulates--SAS Similarity Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Triangle
Definition--Theorems and Postulates--SAS Theorem Definition--Theorems and Postulates--SAS Theorem Definition--Theorems and Postulates--SAS Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Triangle
Definition--Theorems and Postulates--SSS Theorem Definition--Theorems and Postulates--SSS Postulate Definition--Theorems and Postulates--SSS Postulate

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Triangle
Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Labeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Labeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Labeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Congruent--Unlabeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Labeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Labeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Labeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles Share Vertical Angles Non Congruent--Unlabeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Labeled Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Labeled Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Labeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles with Common Base--Congruent--Unlabeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Labeled Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Labeled Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Labeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Unlabeled Math Clip Art--Triangles--Two Triangles with Common Base--Non Congruent--Unlabeled

This is from a collection of triangular shapes. They come labeled and unlabeled.

 Applications of Triangles
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 1 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 1 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 1

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 2 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 2 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 2

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 3 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 3 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 3

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 4 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 4 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 4

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 5 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 5 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 5

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 6 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 6 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 6

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 7 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 7 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 7

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 8 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 8 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 8

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

 Definition of a Triangle
Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 9 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 9 Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 9

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

 Definition of a Triangle
Video Transcript: Geometry Applications: Triangles Video Transcript: Geometry Applications: Triangles Video Transcript: Geometry Applications: Triangles

This is the transcript for the video of same title. Video contents: In this program we explore the properties of triangle. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles. In the second application, we look at right-triangle-shaped sails on sail boat and why these are the ideal shape for efficient sailing.

 Applications of Triangles
Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program.

This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

 Applications of Triangles
Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles

This is the transcript for the video of same title. Video contents: The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.

 Applications of Triangles
VIDEO: Geometry Applications: Triangles, Segment 2: Triangles VIDEO: Geometry Applications: Triangles, 2 VIDEO: Geometry Applications: Triangles, Segment 2: Triangles

The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.

 Applications of Triangles