Q: What is a parallelogram with two congruent sides and two congruent angles?

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If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.

A parallelogram

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).

A right trapezoid can have no congruent sides and two right angles.

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

Related questions

A parallelogram cannot have only two congruent sides, nor only two congruent angles.

A parallelogram has the 2 pair of opposite congruent sides, but a rectangle (special case of parallelogram) also has the four congruent angles.

If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.

A parallelogram

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

It is a parallelogram

A parallelogram is a quadrilateral with opposite sides parallel and congruent.

It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.

parallelogram

A parallelogram has two pairs of sides that are parallel when a trapezoid only has one. A parallelogram's opposite sides are congruent and opposite angles are congruent. A trapezoid has no opposite congruent sides or angles, unless it's an isosceles trapezoid, which base angles are congruent. They both have four sides and four interior angles that add up to 360 degrees.

A square has 4 congruent sides and 4 right angles, in addition to having all of the properties of a parallelogram. A kite is not a parallelogram. It has two pairs of consecutive congruent sides, and a pair of congruent opposite angles.

A parallelogram.