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ABCD is a rectangle in which diagonal AC bisects ∠A. What can you conclude?

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals
  • AABCD is a square
  • B
  • CNothing new
  • DABCD is a rhombus but not a square

Step-by-Step Solution

∠BAC = ∠DAC = 45°. In △ABC, ∠B = 90°, so ∠BCA = 45° = ∠BAC, giving AB = BC. A rectangle with equal adjacent sides is a square.
Answer: A) ABCD is a square

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