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Which of the following are congruence theorems for right triangles?Check all that apply.A.LAB.HHC.HAD.HLE.LLF.AASUBMITarrow_backPREVIOUS

Question

Which of the following are congruence theorems for right triangles?Check all that apply.A.LAB.HHC.HAD.HLE.LLF.AASUBMITarrow_backPREVIOUS

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Solution

The congruence theorems for right triangles are:

A. LA (Leg-Angle) - This theorem states that if a 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.

B. HL (Hypotenuse-Leg) - This theorem states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

C. LL (Leg-Leg) - This theorem states that if the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.

D. HA (Hypotenuse-Angle) - This is not a valid congruence theorem for right triangles.

E. AASU (Angle-Angle-Side Unordered) - This is not a valid congruence theorem for right triangles.

F. HH - This is not a valid congruence theorem for right triangles.

G. LE - This is not a valid congruence theorem for right triangles.

So, the correct answers are A. LA, B. HL, and C. LL.

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