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Explain why the triangles are similar. Then find the distance represented by x. x ft 150 ft 200 ft 180 ft Why are the triangles similar? Choose the correct answer below. O A. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the SAS - Theorem. O B. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA - Postulate. ts O C. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem. O D. There is a pair of congruent vertical angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. E. There is a pair of congruent vertical angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. SS

Explain why the triangles are similar. Then find the distance represented by x. x ft 150 ft 200 ft 180 ft Why are the triangles similar? Choose the correct answer below. O A. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the SAS - Theorem. O B. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA - Postulate. ts O C. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem. O D. There is a pair of congruent vertical angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. E. There is a pair of congruent vertical angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. SS

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.1: Triangles
Problem 21E
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Explain why the triangles are similar. Then find the distance represented by x. x ft 150 ft 200 ft 180 ft Why are the triangles similar? Choose the correct answer below. O A. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the SAS - Theorem. O B. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA - Postulate. ts O C. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem. O D. There is a pair of congruent vertical angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. E. There is a pair of congruent vertical angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. SS
Transcribed Image Text:Explain why the triangles are similar. Then find the distance represented by x. x ft 150 ft 200 ft 180 ft Why are the triangles similar? Choose the correct answer below. O A. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the SAS - Theorem. O B. There is a pair of congruent vertical angles and the sides that include the two vertical angles are proportional, so the triangles are similar by the AA - Postulate. ts O C. The corresponding sides of two triangles are proportional, so the triangles are similar by the SSS Theorem. O D. There is a pair of congruent vertical angles and the sides that include the two vertical angles are also congruent, so the triangles are similar by the SAS - Theorem. E. There is a pair of congruent vertical angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. SS
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