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

AC = BD but not perpendicular to BD ?

Square

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Rhombus

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Parallelogram

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Rectangle

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Solution

The correct option is D
Rectangle

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

$A C n o t ⊥ B D$

$∴$ ABCD is a rectangle.

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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 and AC is perpendicular to BD?

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

Q. Given that ABCD is a parallelogram. If AC is perpendicular to BD but is not equal to it then ABCD is a Rhombus.

What kind of quadrilateral ABCD is, if its diagonals AC and BD are not equal and the quadrilateral has two lines of symmetry?

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

The correct option is D Rectangle AC=BD (Given) and AC not⊥BD ∴ ABCD is a rectangle.

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

AC = BD but not perpendicular to BD ?

The correct option is D
Rectangle

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

$A C n o t ⊥ B D$

$∴$ ABCD is a rectangle.