Answer :

The Triangles are congruent by AAS Congruence , Option A is the correct answer.

What is a Triangle ?

A triangle is a polygon with three sides , angles and vertices

It is given that for the figure

Angle WXZ = Angle YZX = 90 degree

Angle XWZ = Angle XYZ

and the side XZ =XZ (common)

Therefore the Triangles are congruent by AAS Congruence.

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Rewritten by : Barada

Hi there!
The congruency theorem that proves these two triangles congruent is AAS. This is because both triangles have two congruent angles and the side comes from the side that can be proved congruent in both triangles by the reflexive property.
Hope this helps!! :)If there's anything else that I can help you with, please let me know!