Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
The triangles below are right triangles. Whiich Theorem could be used to prove the Triangles are similiar?
**Question 9:** The triangles below are right triangles. Which theorem could be used to prove the triangles are similar? (Depiction of two right triangles) **Triangle on the left:** - This triangle has vertices labeled such that the vertices form a right triangle. - The side marked with 90 degrees is adjacent to side C (base) and side B (height). - The longest side or hypotenuse is labeled A. **Triangle on the right:** - This triangle also has vertices forming a right triangle. - The side marked with 90 degrees is adjacent to side D (base) and side F (height). - The longest side or hypotenuse is labeled E. **Answer Choices:** - ( ) SAS - ( ) ASA - ( ) AA - ( ) SSS In these diagrams, both triangles share a common angle marked as X, and both triangles have a 90-degree angle. The corresponding angles in both triangles are congruent. Therefore, the Angle-Angle (AA) Theorem could be used to prove the triangles are similar.
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Transcribed Image Text:**Question 9:** The triangles below are right triangles. Which theorem could be used to prove the triangles are similar? (Depiction of two right triangles) **Triangle on the left:** - This triangle has vertices labeled such that the vertices form a right triangle. - The side marked with 90 degrees is adjacent to side C (base) and side B (height). - The longest side or hypotenuse is labeled A. **Triangle on the right:** - This triangle also has vertices forming a right triangle. - The side marked with 90 degrees is adjacent to side D (base) and side F (height). - The longest side or hypotenuse is labeled E. **Answer Choices:** - ( ) SAS - ( ) ASA - ( ) AA - ( ) SSS In these diagrams, both triangles share a common angle marked as X, and both triangles have a 90-degree angle. The corresponding angles in both triangles are congruent. Therefore, the Angle-Angle (AA) Theorem could be used to prove the triangles are similar.
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