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Explain why the triangles are similar. Then find the distance represented by x. 18 5 ft 6 in. 21 ft 6 ft Why are the triangles similar? Choose the correct answer below. OA. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA Postulate. O B. There is a pair of congruent angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA Postulate. O C. There is a pair of congruent angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. O D. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem O E. There is a pair of congruent angles and the sides that include the two vecal angles are proportional, so the triangles are similar by the SAS Theorem. feet (Simplify your answer. Type an integer or a decimal.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer All parts showing Review progress Question 8 of 9 + Back Next-> o search 近

Explain why the triangles are similar. Then find the distance represented by x. 18 5 ft 6 in. 21 ft 6 ft Why are the triangles similar? Choose the correct answer below. OA. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA Postulate. O B. There is a pair of congruent angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA Postulate. O C. There is a pair of congruent angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. O D. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem O E. There is a pair of congruent angles and the sides that include the two vecal angles are proportional, so the triangles are similar by the SAS Theorem. feet (Simplify your answer. Type an integer or a decimal.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer All parts showing Review progress Question 8 of 9 + Back Next-> o search 近

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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Explain why the triangles are similar. Then find the distance represented by x. sA6 in 21 ft 6 ft Why are the triangles similar? Choose the correct answer below. OA. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. O B. There is a pair of congruent angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA Postulate. O C. There is a pair of congruent angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. O D. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem O E. There is a pair of congruent angles and the sides that include the two vecal angles are proportional, so the triangles are similar by the SAS Theorem. feet (Simplify your answer. Type an integer or a decimal.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer All parts showing Review progress Question 8 of 9 + Back Next> o search 近
Transcribed Image Text:Explain why the triangles are similar. Then find the distance represented by x. sA6 in 21 ft 6 ft Why are the triangles similar? Choose the correct answer below. OA. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. O B. There is a pair of congruent angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA Postulate. O C. There is a pair of congruent angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. O D. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem O E. There is a pair of congruent angles and the sides that include the two vecal angles are proportional, so the triangles are similar by the SAS Theorem. feet (Simplify your answer. Type an integer or a decimal.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer All parts showing Review progress Question 8 of 9 + Back Next> o search 近
Expert Solution
Step 1

A option is right. 

Triangles are similar so aides are proportional to each other. 

6in. = 1/2ft = 0.5ft 

5ft 6in. = 5.5ft

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