The pair of triangles shown are because the sides are and corresponding angles are 9 R 12 15 10 37 37 K

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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The pair of triangles shown are  [Dropdown: congruent or similar]  because the sides are  [Dropdown: proportional or equal] and corresponding angles are  [Dropdown: equal or proportional].

Below the text, there are two right-angled triangles:

1. Triangle RQS:
- Angle R is a right angle (90 degrees).
- Angle Q is 37 degrees.
- Side QR (adjacent to the right angle and 37-degree angle) is 12 units long.
- Side QS (opposite the 37-degree angle) is 9 units long.
- Hypotenuse RS is 15 units long.

2. Triangle JKL:
- Angle J is a right angle (90 degrees).
- Angle K is 37 degrees.
- Side JK (adjacent to the right angle and 37-degree angle) is 6 units long.
- Side KL (opposite the 37-degree angle) is 8 units long.
- Hypotenuse JL is 10 units long.
Transcribed Image Text:The pair of triangles shown are [Dropdown: congruent or similar] because the sides are [Dropdown: proportional or equal] and corresponding angles are [Dropdown: equal or proportional]. Below the text, there are two right-angled triangles: 1. Triangle RQS: - Angle R is a right angle (90 degrees). - Angle Q is 37 degrees. - Side QR (adjacent to the right angle and 37-degree angle) is 12 units long. - Side QS (opposite the 37-degree angle) is 9 units long. - Hypotenuse RS is 15 units long. 2. Triangle JKL: - Angle J is a right angle (90 degrees). - Angle K is 37 degrees. - Side JK (adjacent to the right angle and 37-degree angle) is 6 units long. - Side KL (opposite the 37-degree angle) is 8 units long. - Hypotenuse JL is 10 units long.
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