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:

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

Answer:

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