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Earn +20 ptsQ: A quadrilateral with both pairs of opposite sides congruent?
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What quadrilateral has both pairs of opposite sides congruent?
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?
always
What is a quadrilateral with two pairs of congruent adjacent sides congruent and no congruent opposite sides?
Diamond
What is a quadrilateral with both pairs of opposite sides parallel and congruent?
That's a rhombus.
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.
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