Q: What is a quadrilateral with opposite sides parallel and congruent and no right angle?

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Parallelogram

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary

That may be the longest description of a squarethat I have ever heard.

draw a quadrilateral that has no parallel sides no congruent sides and no right angle

The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.

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Parallelogram

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary

That may be the longest description of a squarethat I have ever heard.

draw a quadrilateral that has no parallel sides no congruent sides and no right angle

A rhombus, or a square if there is a 90o angle

A rhombus, or a square if there is a 90o angle.

Yes (or its special case, a square).

draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.

The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.

A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';

A rectangle is a parallellogram with one right angle; A parallelogram is a quadrilateral with opposite sides equal and parallel.

It is a 4 equal sided quadrilateral It has 2 equal opposite acute and 2 equal opposite obtuse angle Its opposite sides are parallel