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Q: Is this statement true or falseIf both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram?

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It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.

A parallelogram.

Only a parallelogram. You can technically say a square does as well, although all sides are congruent in a square (compared to the parallelogram with two sets of opposite sides congruent).

Yes. A parallelogram has congruent opposite sides as well as congruent opposite angles.

every parallelogram

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false

False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.

For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.

If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.

always

A quadrilateral with both pairs of opposite sides congruent is a parallelogram.

If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.

Every parallelogram is.

No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.

Then, the opposite sides are congruent.

sometimes

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