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Angle EFG has a measure of 133°. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'FG'. E G. What is the measure of angle E'F'G' ?

Angle EFG has a measure of 133°. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'FG'. E G. What is the measure of angle E'F'G' ?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Title: Understanding Angle Rotation in Geometry** **Topic: Triangle Rotation** **Objective:** Learn how to calculate the measure of an angle after a geometric rotation. **Problem:** You are given that angle \(EFG\) in triangle \(EFG\) has a measure of \(133^\circ\). This triangle is rotated \(180^\circ\) counterclockwise about point \(F\) to create a new triangle \(E'F'G'\). **Diagram Explanation:** The diagram shows triangle \(EFG\), where \(F\) is a pivot point. The triangle is then rotated \(180^\circ\) to form triangle \(E'F'G'\), which is not shown but can be visualized as directly opposite \(EFG\). **Question:** What is the measure of angle \(E'F'G'\)? **Response:** Respond in the space provided if you are completing this online, or write your answer on the answer sheet if using paper. **Notes:** - A rotation of \(180^\circ\) about a point results in the image being directly opposite the original shape, which means the angle measurements remain unchanged. **Answer:** The measure of angle \(E'F'G'\) is \(133^\circ\). --- This educational content is designed to help students understand how rotations affect geometric figures, specifically focusing on preserving angle measures during the process.
Transcribed Image Text:**Title: Understanding Angle Rotation in Geometry** **Topic: Triangle Rotation** **Objective:** Learn how to calculate the measure of an angle after a geometric rotation. **Problem:** You are given that angle \(EFG\) in triangle \(EFG\) has a measure of \(133^\circ\). This triangle is rotated \(180^\circ\) counterclockwise about point \(F\) to create a new triangle \(E'F'G'\). **Diagram Explanation:** The diagram shows triangle \(EFG\), where \(F\) is a pivot point. The triangle is then rotated \(180^\circ\) to form triangle \(E'F'G'\), which is not shown but can be visualized as directly opposite \(EFG\). **Question:** What is the measure of angle \(E'F'G'\)? **Response:** Respond in the space provided if you are completing this online, or write your answer on the answer sheet if using paper. **Notes:** - A rotation of \(180^\circ\) about a point results in the image being directly opposite the original shape, which means the angle measurements remain unchanged. **Answer:** The measure of angle \(E'F'G'\) is \(133^\circ\). --- This educational content is designed to help students understand how rotations affect geometric figures, specifically focusing on preserving angle measures during the process.
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