The correct answers are:
A. Hypotenuse-angle (HA) ; B. Hypotenuse-leg (HL) ; C. Leg-leg (LL) ; and D. Leg-angle (LA)
Step-by-step explanation:
The HA, or hypotenuse-angle, theorem 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, then the two triangles are congruent.
The HL, or hypotenuse-leg, theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LL, or leg-leg, theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LA, or leg-acute, theorem states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.