Question

which of the following are right triangle congruence theorems? check all that apply. a. hypotenuse - angle (ha) b. leg - leg (ll) c. leg - angle (la) d. hypotenuse - leg (hl)

Explanation:

triangle congruence, Hypotenuse - angle (HA), Leg - leg (LL), Leg - angle (LA), and Hypotenuse - leg (HL) are all valid congruence theorems. HA states that if the hypotenuse and an acute angle of one right - triangle are congruent to the hypotenuse and an acute angle of another right - triangle, the triangles are congruent. LL means if the two legs of one right - triangle are congruent to the two legs of another right - triangle, the triangles are congruent. LA implies that if a leg and an acute angle of one right - triangle are congruent to a leg and an acute angle of another right - triangle, the triangles are congruent. HL says that if the hypotenuse and a leg of one right - triangle are congruent to the hypotenuse and a leg of another right - triangle, the triangles are congruent.

Answer:

A. Hypotenuse - angle (HA)
B. Leg - leg (LL)
C. Leg - angle (LA)
D. Hypotenuse - leg (HL)