Enough information is given. Explanation: See solution.
Practice makes perfect
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 triangle, then the two triangles are congruent.
From the diagram we see that our right triangles have a shared hypotenuse. Therefore, by the Reflexive Property of Congruence, we know these sides are congruent.
Since the hypotenuse and a leg of △ WXZ is congruent to the hypotenuse and a leg of △ YZX, the triangles are congruent by the HL Congruence Theorem.
Statement
Reason
1.
&∠ WXZ is a right triangle & ∠ YZX is a right triangle &WX≅ YZ
