ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD and AC is perpendicular to BD?

Parallelogram

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Rectangle

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Square

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Rhombus

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Solution

The correct option is C
Square

$A C = B D$ (Given) and

$A C ⊥ B D$

i.e. diagonals of a quadrilateral are equal and they are perpendicular to each other.

$∴$ ABCD is a square.

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ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD and AC is perpendicular to BD?

The correct option is C Square AC=BD (Given) and AC⊥BD i.e. diagonals of a quadrilateral are equal and they are perpendicular to each other. ∴ ABCD is a square.

The correct option is C
Square

$A C = B D$ (Given) and

$A C ⊥ B D$

i.e. diagonals of a quadrilateral are equal and they are perpendicular to each other.

$∴$ ABCD is a square.