Question

which of the following are congruence theorems for right triangles? check all that apply. a. ha b. hl c. aa d. ll e. la f. hh

Explanation:

• HA (Hypotenuse-Angle): If the hypotenuse and an acute angle of one right triangle match those of another, the triangles are congruent.
• HL (Hypotenuse-Leg): If the hypotenuse and a leg of one right triangle match those of another, the triangles are congruent.
• LL (Leg-Leg): If both legs of one right triangle match those of another, the triangles are congruent.
• LA (Leg-Angle): If a leg and an acute angle of one right triangle match those of another, the triangles are congruent.
• AA (Angle-Angle) only proves similarity, not congruence. HH (Hypotenuse-Hypotenuse) does not guarantee congruence without a corresponding leg/angle.

Answer:

A. HA
B. HL
D. LL
E. LA