question_answer

If ABCD is a square; X is the mid-point of AB and Y is the midpoint of BC, then considered following statements. (i) The triangle ADX and BAY are congruent (ii) \[\angle DXA=\angle AYB\] (iii) DX is perpendicular to AY

A) Only (i) is correct

B) (iv) is correct

C) (i), (ii) & (iii) all are correct

D) Only (ii) is correct

Correct Answer: C

Solution :

    By RHS \[\Delta ADX\cong \Delta BAY\] Therefore (i), (ii) & (iii) are correct.