ABCD is a square.X and Y are points on sides AD and BC respectively,such that AY=BX.Prove that BY=AX and <BAT=<ABX.
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Answer:
Given :-
» ABCD is a square in which X and Y are point on AD and BC
=> AY = BX
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In ΔABX and ΔBAY
=> BX = AY____[GIVEN]
=> AB = AB _____[COMMON]
=> angle(XAB) = angle(YBA) = 90
therefore :-
=> ΔABX ≈ ΔBAY [by SOS congruent criterion]
______________[PROVED]
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then
=> AX = BY [by corresponding parts of congruent triangle (cpct) ]
________________[PROVED]
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Answer:
yess b'coz it's a square
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