# Answer above image in short

2
by karanyo

2015-11-07T11:11:01+05:30

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In ∆DAY & ∆CBX

since , Ax = BY (given) ,so , AX + XY = BY + XY , so AY = BX
DA = CB (GIVEN)

& ∠DAY = ∠CBX (90°)

By , SAS , they are congruent
Sorry it is , Ay = BX ( AX+XY = XY+BY)
2015-11-07T11:15:39+05:30

### This Is a Certified Answer

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given,
DA = CB
AX = BY
to prove :- ΔDAY ≈ ΔCBX
proof:-
DA = CB

∠A = ∠B = 90°
AX = BY
therefore,

AX + XY = BY + XY
AY = BX (∵ if equals are added to equals the wholes are equal)
therefore ΔDAY ≈ ΔCBX
by SAS congruence rule.
i hope that this will help u.......................^_^