Graphing Calculator Math Worksheets Algebara Solver Chart Maker
 A+ A− B

# Parallelograms

## Properties, Shapes, Diagonals and Area

A parallelogram is quadrilateral comprised of two pairs of parallel lines. There are several rules involving
##### Interactive Parallelogram
(see full size )
The full size interactive parallelogram has additional features such as the lengths of the diagonals.

### Two Pairs of Parallel Lines

To create a paralleogram, just think of 2 different pairs of parallel lines intersecting.
ABCD is a parallelogram.
Click on the button below to turn the pure parallel lines into a parallelogram.
 Make Parallelogram

## Angles of A Parallelogram

### Opposite Angles are Congruent

 $$\angle D \cong \angle B \\ \angle A \cong \angle C$$
Triangles can be used to prove this rule about the opposite angle.

### Consecutive angles are supplementary.

 The following pairs of angles are supplementary $$\angle$$ C and $$\angle$$ C $$\angle$$ C and $$\angle$$ B $$\angle$$ A and $$\angle$$ B $$\angle$$ A and $$\angle$$ D
To explore these rules governing the angles of a parallelogram use Math Warehouse's interactive parallelogram.

What is the measure of angles A, B and C in parallelogram ABCD?

What is the measure of x, y, z in parallelogram below?
In a parallelogram one of the angles measures 25°, what are the measures of the other angles?

## Sides of a Parallelogram

The opposite sides of a parallelogram are congruent.
Triangles can be used to prove this rule about the opposite sides.
. To explore these rules governing the sides of a parallelogram use Math Warehouse's interactive parallelogram
What is the length of side BD and side CD in parallelogram ABCD?
What is x in the parallelogram on the left?