Is a parallelogram have congruent sides?

A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. This means a parallelogram is a plane figure, a closed shape, and a quadrilateral.

Do parallelograms have opposite congruent angles?

Opposite angles of parallelograms are congruent. Adjacent angles of parallelograms are supplementary. Diagonals bisect each other. One pair of opposite sides is both parallel and congruent.

Are opposite sides of parallelogram equal?

A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.

What qualifies as a parallelogram?

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.

How do you know if its a parallelogram?

Each pair of opposite angles has the same measure. Therefore, they are congruent. If both pairs of opposite angles are congruent, the quadrilateral is a parallelogram.

How do you prove it is a parallelogram?

Prove that both pairs of opposite angles are congruent. You can try this out by making two identical angles and then placing the two angles opposite each other so that the other pair of opposite angles are also congruent. Then you’ll see that you’ll always get a parallelogram.

Which of the following is not true for a parallelogram?

(D) diagonals bisect each other. Correct Answer: Option (C) Opposite angles are bisected by the diagonals. In a parallelogram, opposite angles are not bisected by the diagonals.

Which is not a parallelogram?

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel. A Concave quadrilateral or arrowhead does not have parallel sides.

How do you prove opposite sides of a parallelogram are equal?

In a parallelogram, each pair of opposite sides are of equal length.

  1. Given: PQRS is a parallelogram in which PQ ∥ SR and QR ∥ PS.
  2. To prove: PQ = SR and PS = QR.
  3. Construction: Join PR.
  4. Proof:
  5. Given: PQRS is a quadrilateral in which PQ = SR and PS = QR.
  6. To prove: PQRS is a parallelogram.