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Given RECT is a rectangle, ESC = 46°, and RS = 12, match all segments and angles to their measurements. R SC ET KERC ARST LECR LETC E :: 12 :: 23 #24 68 :: 46 :: 67

Given RECT is a rectangle, ESC = 46°, and RS = 12, match all segments and angles to their measurements. R SC ET KERC ARST LECR LETC E :: 12 :: 23 #24 68 :: 46 :: 67

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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### Geometry Problem: Rectangle and Angles #### Problem Statement Given RECT is a rectangle, ∠ESC = 46°, and RS = 12, match all segments and angles to their measurements. #### Image Description The image shows a rectangle RECT with diagonals RC and TE intersecting at point S, creating various smaller triangles within the rectangle. #### Task Match the segments and angles to their correct measurements. #### Details to Match: 1. **SC** 2. **ET** 3. **∠ERC** 4. **∠RST** 5. **∠ECR** 6. **∠ETC** #### Possible Measurements: - 12 - 23 - 24 - 68 - 46 - 67 ### Instructions Drag and drop each segment or angle on the left side to the correct measurement on the right side. Use your knowledge of geometry principles, specifically properties related to rectangles and their diagonals, to determine the correct matches. ### Note The diagram of the rectangle and intersecting diagonals will aid in visualizing the segments and angles to match the given measurements correctly. Ensure to consider the properties and relationships of the angles and lengths in a rectangle to solve the matching problem accurately.
Transcribed Image Text:### Geometry Problem: Rectangle and Angles #### Problem Statement Given RECT is a rectangle, ∠ESC = 46°, and RS = 12, match all segments and angles to their measurements. #### Image Description The image shows a rectangle RECT with diagonals RC and TE intersecting at point S, creating various smaller triangles within the rectangle. #### Task Match the segments and angles to their correct measurements. #### Details to Match: 1. **SC** 2. **ET** 3. **∠ERC** 4. **∠RST** 5. **∠ECR** 6. **∠ETC** #### Possible Measurements: - 12 - 23 - 24 - 68 - 46 - 67 ### Instructions Drag and drop each segment or angle on the left side to the correct measurement on the right side. Use your knowledge of geometry principles, specifically properties related to rectangles and their diagonals, to determine the correct matches. ### Note The diagram of the rectangle and intersecting diagonals will aid in visualizing the segments and angles to match the given measurements correctly. Ensure to consider the properties and relationships of the angles and lengths in a rectangle to solve the matching problem accurately.
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