37
QuizMultiple Choice

Solving for Angle Measures of Right Triangles — Cumulative exam

Question 37 • *CR CCSS Math 2 S2 [M2960OX]

The side lengths of triangle RST are 5, 12, and 13. Which set of ordered pairs form a triangle that is congruent to triangle RST?

Answer
A
(–3,–2),(–3,11),(9,–2)
B
(1,–3),(6,–3),(6,10)
C
(2,–1)(7,–1),(2,11)
D
(5,1),(1,13),(12,1)

Explanation

For choice C, the distance between (2, −1) and (7, −1) is 5 units because the points share a y-coordinate. The distance between (2, −1) and (2, 11) is 12 units because they share an x-coordinate. The third side has length √(5² + 12²) = 13, so the triangle has side lengths 5, 12, and 13. Therefore, choice C forms a triangle congruent to triangle RST.

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