Question

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

Explanation:

In geometry, for right - triangles, the Leg - Leg (LL) theorem states that if the two legs of one right - triangle are congruent to the two legs of another right - triangle, the triangles are congruent. The Leg - Angle (LA) theorem says 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. The Hypotenuse - Angle (HA) theorem means 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. The Hypotenuse - Leg (HL) theorem indicates 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. Leg - leg (LL)
B. Leg - angle (LA)
C. Hypotenuse - angle (HA)
D. Hypotenuse - leg (HL)