Ximpledu

Parallelogram

See how to solve a parallelogram
(sides/angles/diagonals/area).
6 examples and their solutions.

Parallelogram: Definition

Definition

A parallelogram is a quadrilateral
whose two pairs of opposite sides are parallel.

Parallelogram: Sides

Property

The parallel sides of a parallelogram are congruent.

Example

Solution

Example

OPQR: parallelogram.
Coordinates of point Q = ?

Solution

Parallelogram: Angles

Property


m∠1 = m∠1'
m∠2 = m∠2'

m∠[blue] + m∠[green] = 180

Example

m∠A, m∠B, m∠C = ?

Solution

Parallelogram: Diagonals

Property

The diagonals of a parallelogram bisect each other.

Example

Solution

Parallelogram: Area

Formula


A = bh

Example

Area?

Solution

Example

Area?

Solution