Question

Which postulate or theorem proves ∆WXY ≅ ∆WZY ?

SSS Congruence Theorem


SAS Congruence Postulate


HL Congruence Theorem

Answer 1

HL Congruence Theorem

Explanation:

Answer 2

HL congruence theorem

Explanation:

Given that WZX is an isosceles triangle with sides WX=WZ

Also given that WY is altitude on side XZ

Consider triangles WXY and WZY

WX=WZ Given

WY=WY REflexive property

Angle wyz =angle wyx Right angle

Hence by HL congruence theorem, since one leg and hypotenuse are equal we get the two triangles to be congruent.