According to the HL Congruence Theorem, if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.
Yes Explanation: See solution.
Practice makes perfect
The HL Congruence Theorem says that if the hypotenuse and a pair of legs in two right triangles are congruent, then the triangles are congruent. Notice that the triangles share their hypotenuse. By the Reflexive Property of Congruence, we know that this side is congruent.
Notice that WX∥ ZY and ∠ Z and ∠ X are right angles. Therefore, we know that XYZW is a rectangle which means opposite sides are congruent.
This gives us enough information to use the HL Congruence Theorem.
