Question 25 Answer and Explanation _ACT December 2014 Asia Form 65B Math Section

25. In the figure below, ΔABC and ΔBAD are right triangles such that ∠ABC ≌ ∠BAD, ∠C ≌ ∠D, and AB ≌ AB. Which of the following congruence criteria applies directly to show that ΔABC ≌ ΔBAD?

(Note: The symbol ≌ means "is congruent to.")

A. AAS (If 2 angles of a triangle and the side opposite one of those angles are congruent to the corresponding parts of another triangle, then the triangles are congruent.)

B. HL (If the hypotenuse and 1 leg of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.)

C. LL(If the 2 legs of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.)

D. SAS (If 2 sides and the included angle of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.)

E. SSS (If 3 sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. )

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

According to the known information in the question stem, the congruent condition of AAS is met.