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QUESTION 38 YT YV YX YZ In the figure, What reason allows you to conclude that AYTV~ AYXZ? SSS- ASA- O SAS- O HL- QUESTION 39 The trinle (20 21 29) is a Pythagorean Triple.

QUESTION 38 YT YV YX YZ In the figure, What reason allows you to conclude that AYTV~ AYXZ? SSS- ASA- O SAS- O HL- QUESTION 39 The trinle (20 21 29) is a Pythagorean Triple.

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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**Question 38** In the figure, \( \frac{YT}{YX} = \frac{YV}{YZ} \). What reason allows you to conclude that \( \triangle YTV \sim \triangle YXZ \)? - SSS~ - ASA~ - SAS~ - HL~ **Diagram Explanation:** The diagram is a geometric figure consisting of two triangles, \( \triangle YTV \) and \( \triangle YXZ \), sharing a common vertex at \( Y \). There is a line connecting vertices \( T \) and \( X \), and a line connecting vertices \( V \) and \( Z \). The given proportional relationship between the segments indicates a possible similarity between the triangles. **Note for Educational Context:** This question assesses understanding of triangle similarity criteria, specifically the Side-Angle-Side (SAS) similarity theorem, which states that if two triangles have two proportional sides and the included angle is equal, the triangles are similar.
Transcribed Image Text:**Question 38** In the figure, \( \frac{YT}{YX} = \frac{YV}{YZ} \). What reason allows you to conclude that \( \triangle YTV \sim \triangle YXZ \)? - SSS~ - ASA~ - SAS~ - HL~ **Diagram Explanation:** The diagram is a geometric figure consisting of two triangles, \( \triangle YTV \) and \( \triangle YXZ \), sharing a common vertex at \( Y \). There is a line connecting vertices \( T \) and \( X \), and a line connecting vertices \( V \) and \( Z \). The given proportional relationship between the segments indicates a possible similarity between the triangles. **Note for Educational Context:** This question assesses understanding of triangle similarity criteria, specifically the Side-Angle-Side (SAS) similarity theorem, which states that if two triangles have two proportional sides and the included angle is equal, the triangles are similar.
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