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Q: Is a quadrilateral a parallelogram if one pair of opposite angles is congruent and one pair of opposite sides is parallel?

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The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

Then, the opposite sides are congruent.

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.

Parallelograms have 4 sides, it is a quadrilateral with the opposite sides parallel, and the opposite angles are congruent.4

A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral in which the opposite sides are parallel.

Related questions

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

Parallel

true

Then, the opposite sides are congruent.

No. The congruent sides need not be parallel.

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.

A parallelogram.

That's a parallelogram.

It is a rhombus or a parallelogram

A parallelogram. Opposite sides are parallel and congruent.parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent. The three-dimensional counterpart of a parallelogram is a parallelepiped.Parallelogram - A quadrilateral whose opposite sides are parallel

No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.

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