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How about a trapezoid as an example.

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10y ago

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

Then, the opposite sides are congruent.


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.


A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?

This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or 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


What is a quadrilateral with a pair of opposite sides congruent but not parallel?

A kite


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

No, it is not.


What is a quadrilateral with one pair of opposite sides parallel and the other pair of opposite sides congruent?

An isosceles trapezium


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.


What is a quadrilateral with opposite sides and parallel each pair of opposite sides and angles are congruent?

rhombus


A quadrilateral with only 1 pair of opposite sides are parallel and the other pair of opposite side congruent is a?

square