Explain why the triangles are similar. Then find the missing length, x. 20 in, 10 in. x 12 in. 22 in. 11 in. Choose the reason that the triangles are similar. O A. The sum of the three angles in each triangle is 180°. O B. The angles in the small triangle are equal in measure to their corresponding angles in the large triangle. O C. Both triangles are obtuse. O D. The vertical angles in the triangle are equal in measure. Find the missing length.

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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Explain why the triangles are similar. Then find the missing length, x.
20 in.
12 in.
10 in.
22 in.
11 in.
Choose the reason that the triangles are similar.
O A. The sum of the three angles in each triangle is 180°.
B. The angles in the small triangle are equal in measure to their corresponding angles in the large triangle.
O C. Both triangles are obtuse.
O D. The vertical angles in the triangle are equal in measure.
Find the missing length.
Transcribed Image Text:Explain why the triangles are similar. Then find the missing length, x. 20 in. 12 in. 10 in. 22 in. 11 in. Choose the reason that the triangles are similar. O A. The sum of the three angles in each triangle is 180°. B. The angles in the small triangle are equal in measure to their corresponding angles in the large triangle. O C. Both triangles are obtuse. O D. The vertical angles in the triangle are equal in measure. Find the missing length.
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