Which of the following are right triangle congruence theorems?Check all that apply.A.Leg-leg (LL)B.Hypotenuse-angle (HA)C.Hypotenuse-leg (HL)D.Leg-angle (LA)SUBMITarrow_backPREVIOUS
Question
Which of the following are right triangle congruence theorems?Check all that apply.A.Leg-leg (LL)B.Hypotenuse-angle (HA)C.Hypotenuse-leg (HL)D.Leg-angle (LA)SUBMITarrow_backPREVIOUS
Solution
The correct right triangle congruence theorems from the options provided are:
A. Leg-leg (LL) - This is not a valid right triangle congruence theorem. In right triangles, knowing the lengths of the legs does not guarantee congruence.
B. Hypotenuse-angle (HA) - This is not a valid right triangle congruence theorem. The angle is not enough to determine congruence in right triangles.
C. Hypotenuse-leg (HL) - This is a valid right triangle congruence theorem. 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.
D. Leg-angle (LA) - This is not a valid right triangle congruence theorem. The angle is not enough to determine congruence in right triangles.
So, the only valid right triangle congruence theorem from the options provided is Hypotenuse-leg (HL).
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