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:

The HA (Hypotenuse - angle), LL (Leg - leg), LA (Leg - angle) and HL (Hypotenuse - leg) are all right - triangle 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 says if the two legs of one right triangle are congruent to the two legs of another right triangle, the triangles are congruent. LA means 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 is when 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)