Question

Is XWY equal to ZWY by HL? explain if no or name the legs if yes?

please help :)

Answer 1

If `∠XWY=90°`, the answer is yes.

Explanation:

When you use HL(Hypotenuse Leg Theorem), be sure that the triangles are right triangles.

If so, the two triangles `△XWY` and `△ZWY` are equal, because
(1) `XY=ZY` (hypotenuse)
(2) `YW` is the common edge. (leg)

If `∠XWY≠90°`, the rule cannot be applied, so `△XWY` is not equal to `△ZWY`.