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6. Given: AUVW = AXYZ Prove: UV || XY .Y W

6. Given: AUVW = AXYZ Prove: UV || XY .Y W

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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**Problem Statement:** **6. Given: \( \triangle UVW \cong \triangle XYZ \)** **Prove: \( UV \parallel XY \)** --- **Diagram Description:** There is an image containing two triangles labeled as \( \triangle UVW \) and \( \triangle XYZ \). The triangles are overlaid in such a way that each vertex in \( \triangle UVW \) corresponds to a congruent vertex in \( \triangle XYZ \). --- **Proof Table:** | Statements | Reasons | |------------|---------| | | | The proof table is currently blank and needs to be filled with the steps and justifications to prove that \( UV \parallel XY \). Based on the given information, you can use triangle congruence and properties of parallel lines to develop the proof.
Transcribed Image Text:**Problem Statement:** **6. Given: \( \triangle UVW \cong \triangle XYZ \)** **Prove: \( UV \parallel XY \)** --- **Diagram Description:** There is an image containing two triangles labeled as \( \triangle UVW \) and \( \triangle XYZ \). The triangles are overlaid in such a way that each vertex in \( \triangle UVW \) corresponds to a congruent vertex in \( \triangle XYZ \). --- **Proof Table:** | Statements | Reasons | |------------|---------| | | | The proof table is currently blank and needs to be filled with the steps and justifications to prove that \( UV \parallel XY \). Based on the given information, you can use triangle congruence and properties of parallel lines to develop the proof.
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