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Mathematics

ABCD is a rectangle. X and Y are points on sides AD and BC respectively such that AX = BY, then :

  1. AY ≠ BX

  2. △ ABX ≅ △ BYA

  3. △ ABX ≅ △ AYB

  4. △ ABX ≅ △ BAY

Triangles

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Answer

Rectangle ABCD is shown in the figure below:

ABCD is a rectangle. X and Y are points on sides AD and BC respectively such that AX = BY, then : Isosceles Triangles, Concise Mathematics Solutions ICSE Class 9.

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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