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If the diagonals of a cyclic quadrilater...

If the diagonals of a cyclic quadrilateral are equal, then the quadrilateral is:

A

rhomubs

B

square

C

rectangle

D

none of these

Text Solution

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The correct Answer is:
C
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Given the following statements : A:If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Identify these as contrapositive or converse of each other.

If the diagonals of a quadrilateral bisect each other,then the quadrilateral is a parallelogram.

If the diagonals of a quadrilateral bisect each other; then the quadrilateral is a parallelogram.

Definition of Cyclic quadrilateral

If only one diagonal of a quadrilateral bisects the other, then the quadrilateral is known as __________.

If the diagonals of a cyclic quadrilateral intersect at the centre of a circle , then the quadrilateral is "_______________" .

If the diagonals of a cyclic quadrilateral are perpendicular to each other, show that the line passing through the point of intersection of diagonals and midpoint of a side is perpendicular to the opposite side.

If the opposite sides of a quadrilateral are equal, prove that the quadrilateral is a parallelogram.

If two opposite sides of a cyclic quadrilateral are equal,then the other two sides are parallel.

If two opposite sides of a cyclic quadrilateral are equal; then the other two sides are parallel.

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