ABCD is a square. X is the mid-point of AB and Y is the mid-point of BC. Consider the following statements:

- Triangles ADX and BAY are congruent
- ∠DXA = ∠AYB
- DX is inclined at an angle 60° with AY
- DX is not perpendicular to AY

Which of the above statements are correct?

- 2, 3 and 4 only
- 1, 2 and 4 only
- 1, 3 and 4 only
- 1 and 2 only

By RHS rule,

Δ ADX ≅ Δ BAY

Triangles ADX and BAY are congruent.

Also, DX is perpendicular to AY.

**The correct option is D.**

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