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Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Can someone please help me with this congruent triangles activity? Directions: Draw 4 different triangles that are congruent to each original by rotating or reflecting.
**Title:** Exploring Congruent Triangles through Rotation and Reflection **Objective:** Draw four different triangles that are congruent to each original by rotating or reflecting. **Instructions:** 1. **Original Example** - An initial triangle is provided as a reference. Your task is to transform these triangles while maintaining congruence. 2. **Triangles 1 and 2** - Represent examples of triangles that have been rotated or reflected from the original example. Notice how the shape and size remain consistent, illustrating congruency. 3. **Triangles 3 and 4** - Additional examples showing further transformations of the original triangle. These transformations may include further rotations or reflections. 4. **Original A and B** - Located on the lower left, these are other triangle examples that can be used for practice. You are to create four congruent transformations for each. **Grid Explanation:** - **Grid System:** The grid assists in accurately drawing and measuring transformations. - **Points and Lines:** Use points to determine the vertices of your triangle and lines to outline the shape. **Concepts to Explore:** - **Rotation:** Turning a triangle around a point without altering its shape or size. - **Reflection:** Flipping a triangle across a line, like a mirror image, while keeping the dimensions intact. Through this activity, you will understand how congruent triangles maintain their properties despite changes in orientation or position.
Transcribed Image Text:**Title:** Exploring Congruent Triangles through Rotation and Reflection **Objective:** Draw four different triangles that are congruent to each original by rotating or reflecting. **Instructions:** 1. **Original Example** - An initial triangle is provided as a reference. Your task is to transform these triangles while maintaining congruence. 2. **Triangles 1 and 2** - Represent examples of triangles that have been rotated or reflected from the original example. Notice how the shape and size remain consistent, illustrating congruency. 3. **Triangles 3 and 4** - Additional examples showing further transformations of the original triangle. These transformations may include further rotations or reflections. 4. **Original A and B** - Located on the lower left, these are other triangle examples that can be used for practice. You are to create four congruent transformations for each. **Grid Explanation:** - **Grid System:** The grid assists in accurately drawing and measuring transformations. - **Points and Lines:** Use points to determine the vertices of your triangle and lines to outline the shape. **Concepts to Explore:** - **Rotation:** Turning a triangle around a point without altering its shape or size. - **Reflection:** Flipping a triangle across a line, like a mirror image, while keeping the dimensions intact. Through this activity, you will understand how congruent triangles maintain their properties despite changes in orientation or position.
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