Question: Two triangular gates each have angles of 45°, 45°, and 90°, and side lengths of 10 meters, 10 meters, and 14.1 meters. The second gate is identical but installed on the opposite side of the park entrance. Which congruence criterion can be used to prove that the two triangular gates are congruent?
(A) SSS
(B) ASA
(C) RHS
(D) SAS
Solution:
Both triangular gates are right-angled isosceles triangles with identical side lengths. Therefore, they are congruent by the RHS (Right-angle-Hypotenuse-Side) criterion.
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