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Problem: Are the two triangles shown similar? How do you know? If so, write a similarity statement for the triangles.

Problem: Are the two triangles shown similar? How do you know? If so, write a similarity statement for the triangles.

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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A Geometry student submitted the following solutions and explanations to the problems below. Find the error(s) in their work and explain why they are incorrect. Then, complete the correct solutions to the problem, showing all of your work and justifications. Problem: Are the two triangles shown similar? How do you know? If so, write a similarity statement for the triangles. a) M b) T 80 80 32 40 20 15 55° 'N 40° 45° U 24 V H No; you need 2 pairs of congruent angles. The 80°-angles are congruent, but 32 24 4 and 5 =3 Because they both measure 40°, ZV = LX. 45° + 55°. Yes; AUVT ~ A YXZ by the SAS ~ Theorem.
Transcribed Image Text:A Geometry student submitted the following solutions and explanations to the problems below. Find the error(s) in their work and explain why they are incorrect. Then, complete the correct solutions to the problem, showing all of your work and justifications. Problem: Are the two triangles shown similar? How do you know? If so, write a similarity statement for the triangles. a) M b) T 80 80 32 40 20 15 55° 'N 40° 45° U 24 V H No; you need 2 pairs of congruent angles. The 80°-angles are congruent, but 32 24 4 and 5 =3 Because they both measure 40°, ZV = LX. 45° + 55°. Yes; AUVT ~ A YXZ by the SAS ~ Theorem.
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