Questions: Which of the following are right triangle congruence theorems? Check all that apply. A. Hypotenuse-leg (HL) C. Leg-leg (LL)

Solution Steps

Right triangle congruence theorems are specific criteria used to determine if two right triangles are congruent. The most common right triangle congruence theorems include:

• Hypotenuse-Leg (HL): If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
• Leg-Angle (LA): If one leg and an acute angle of a right triangle are congruent to one leg and an acute angle of another right triangle, then the triangles are congruent.
• Leg-Leg (LL): If both legs of a right triangle are congruent to both legs of another right triangle, then the triangles are congruent.
• Hypotenuse-Angle (HA): If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.

Based on the definitions provided in Step 1, we need to identify which of the given options are valid right triangle congruence theorems.

• A. Hypotenuse-leg (HL): This is a valid right triangle congruence theorem.
• B. Leg-angle (LA): This is a valid right triangle congruence theorem.
• C. Leg-leg (LL): This is a valid right triangle congruence theorem.
• D. Hypotenuse-angle (HA): This is a valid right triangle congruence theorem.

Final Answer