Question

question 5 of 10
which of the following are right triangle congruence theorems?
check all that apply.
a. hypotenuse - angle (ha)
b. leg - angle (la)
c. leg - leg (ll)
d. hypotenuse - leg (hl)

Explanation:

• Hypotenuse - angle (HA): 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.
• Leg - angle (LA): 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.
• Leg - leg (LL): If the legs of one right - triangle are congruent to the legs of another right - triangle, the triangles are congruent (by the SAS congruence criterion, since the right angle is the included angle between the legs).
• Hypotenuse - leg (HL): 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. Hypotenuse - angle (HA), B. Leg - angle (LA), C. Leg - leg (LL), D. Hypotenuse - leg (HL)