Congruence in Right Triangles
Theorem. Hypotenuse-Leg (HL) Congruence Theorem
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, respectively, then the two right triangles are congruent.
Given: | Right triangles DFE and PRQ with right angles EFD and QRP, respectively |
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Prove: |
To prove that construct a triangle that is congruent to both and apply transitivity.

Proof:
