Mathematics
ABCD is a rectangle. X and Y are points on sides AD and BC respectively such that AX = BY, then :
AY ≠ BX
△ ABX ≅ △ BYA
△ ABX ≅ △ AYB
△ ABX ≅ △ BAY
Triangles
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Answer
Rectangle ABCD is shown in the figure below:
In △ ABX and △ BAY,
⇒ AX = BY (Given)
⇒ AB = AB (Common side)
⇒ ∠XAB = ∠YBA (Both equal to 90°)
∴ △ ABX ≅ △ BAY (By S.A.S. axiom)
Hence, Option 4 is the correct option.
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Related Questions
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PQ = PR
PR ≠ PQ
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x = 8, y = 16
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x = 16, y = 8
In the given figure, P is mid-point of side AD of rectangle ABCD; then :
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In the given figure, AB = AC. Prove that :
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