Question

ABCD is a square, X and Y are points on sides AD and BC respectively such that AY= BX. Prove that BY = AX and ∠BAY = ∠ABX.

Answer 1

It is given ABCD is a square and

We have to prove that and

In right angled trianglesand Δ we have

And, and

So by right hand side congruence criterion we have

So (since triangle is congruent)

HenceProved.