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If a quadrilateral is a parallelogram then its opposite sides are congruent?

Updated: 4/28/2022

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∙ 7y ago

Best Answer

Yes that is correct.

Wiki User

∙ 7y ago

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Q: If a quadrilateral is a parallelogram then its opposite sides are congruent?

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A quadrilateral with both pairs of opposite sides congruent?

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

Conditions which guarantee that a 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.

If one pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?

Then, the opposite sides are congruent.

What is the Opposite Sides Parallel and Congruent Theorem?

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.

If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

always

Related questions

What is the Parallelogram Opposite Sides Converse?

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

A quadrilateral with both pairs of opposite sides congruent?

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

Conditions which guarantee that a 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.

If one pair of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

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

If one pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?

Then, the opposite sides are congruent.

What is the Opposite Sides Parallel and Congruent Theorem?

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.

If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

always

If one pair of opposite sides of a quadrilateral is congruent then the quadrilateral is a parallelogram?

No. The congruent sides need not be parallel.

What quadrilateral has both pairs of opposite sides congruent?

A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.

If one pair of opposite sides of a quadrilateral is congruent when is the quadrilateral a parallelogram?

sometimes

One pair of opposite sides of a quadrilateral is and congruent then the quadrilateral is a parallelogram?

Parallel

If one pair of opposite sides of a quadrilateral are congruent then it is a parallelogram?

No, it is not.

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If a quadrilateral is a parallelogram then its opposite sides are congruent?

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