Question

ABCD is a square, X is the mid-point of AB and Y is the mid point of BC. Prove that:
1)Triangles ADX & BAY are congruent.
2)DX is perp. to AY.

Answer 1

(1) 1. Angle D A X equal angle A B Y is 90 degree.
2. AB equal AD side of square.
3. A X equal BY midpoint.
So, triangle ADX congruent by triangle BAY.
Proved...
(2) DX is perpendicular to AY by C. P. C. T.