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Q: Are all sides of a parallelogram sides angles congruent?

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A parallelogram which has all congruent sides and angles is a square.

A square is the parallelogram that has all sides congruent. A square also has four angles that are all right angles.

No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.

angles diagnal from each other in a parallelogram are congruent for shape be parallelogram, all sides must be parallel

In all parallelograms, opposite angles and opposite sides are congruent. If all four sides are congruent, it's a rhombus. If all four angles are congruent, it's a rectangle. If all four sides and all four angles are congruent, it's a square.

All sides congruent = square Two pairs of mutually congruent sides = rectangle

No, a parallelogram with 4 equal sides would not have 4 congruent angles, only two.

a square

A rhombus has all sides equal but not angles. The opposite angles in a rhombus are equal though.

parallelogram

Yes.A parallelogram with all congruent sides is called a rhombus. A square is technically a parallelogram with all congruent sides as well.

This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).

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