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
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c0d7e7-dec0-442e-807e-93dee8ab6b46%2Fe640c4a0-b6f6-49b0-b1e8-cb9f4496d905%2Fj3frazn_processed.png&w=3840&q=75)
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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