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:

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

Answer:

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