Answer:
It is given that , In ΔW X Y, Y X is perpendicular to W Z. Also, y w= w z.
To Prove: ΔW X Y ≅ ΔZ Y X
Proof:
In Δ W X Y and Z Y X
Y X ⊥ W Z→→→→Given
Y W= Y Z→→(Given)
∠YWX=∠YZX→→As, opposite sides of a triangle are equal, so angle opposite to them are equal.
∠YXW=∠YXZ→→Each being 90°
So, ΔYXW≅ΔYXZ→→[AAS]
Also, YX is common sides between two triangles.
ΔYXW≅ΔYXZ→→[HL]
So,the two triangles can be proved congruent by either AAS, or HL.
