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Q: If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?

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

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

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

Every parallelogram is.

a parallelogram

Yes

True

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.

parallelogram

false; if both pairs

A parallelogram has the 2 pair of opposite congruent sides, but a rectangle (special case of parallelogram) also has the four congruent angles.

If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.

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