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

$A C = B D (G i v e n)$ 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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Similar questions

ABCD is a parallelogram. What kind of quadrilateral will it be if, AC is perpendicular to BD but not equal to it?

ABCD is a parallelogram. What kind of quadrilateral will it be if,

AC = BD but not perpendicular to BD ?

ABCD is a parallelogram. What kind of quadrilateral will it be if,

AC is perpendicular to BD but not equal to it. ?

$ABCD is a parallelogram. What kind of quadrilateral is it if : (i) A C = B D and AC is perpendicular to BD ? (i i) AC is perpendicular to BD but is not equal to it ? (i i i) A C = B D but AC is not perpendicular to BD ?$

A B C D

is a parallelogram and

A C, B D

be its diagonals Then

\to A C + \to B D

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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.

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

$A C = B D (G i v e n)$ and

$A C ⊥ B D$

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

$∴$ ABCD is a square.