# Construct Parallelogram, Square and Rectangle

In these lessons, we will learn

- how to construct a parallelogram given the lengths of its sides and an angle
- how to construct a parallelogram given the lengths of its diagonals
- how to construct a square given the length of the diagonal.
- how to construct a square given the length of one side.
- how to construct a rectangle

Related Topics: More Geometry Lessons

## Construct A Parallelogram given sides and angle

* Example**: *

Construct a parallelogram *ABCD* with sides *AB =* 4 cm and *AD* = 5 cm and angle *A* = 60˚.

* Solution: *

Step 1 : Construct a line segment *AB* = 4 cm. Construct a 60˚ angle at point *A*.

Step 2 : Construct a line segment *AD* = 5 cm on the other arm of the angle. Then, place the sharp point of the compasses at *B* and make an arc 5 cm above *B*.

Step 3 : Stretch your compasses to 4 cm, place the sharp end at *D* and draw an arc to intersect the arc drawn in step 2. Label the intersecting point *C.* Join *C* to *D* and *B* to *C* to form the parallelogram *ABCD*.

This video shows how to construct a parallelogram with a given angle and certain side lengths.

The construction of a parallelogram, given the lengths of the sides and the measure of the angles.

## Construct a Parallelogram given its diagonals

This video shows how to construct a parallelogram given the lengths of its diagonals, using the property that diagonals of a parallelogram bisect each other. An infinite number of parallelograms are possible.

Demonstration on how to construct a parallelogram using the intersecting diagonals property of a parallelogram. The diagonals of a parallelogram bisect each other.

## Construct a Square given its diagonal

The following video shows how to construct a square with a compass and straight edge given the length of a diagonal.

How to construct a square using a diagonal.

## Construct a Square given its side

The following video shows how to construct a square given the length of one side.

Construct a Square

How to construct a square given the length of one side. Two methods are shown.

## Construct a Rectangle

How to draw a Rectangle Using a Compass and Straight Edge, and perpendicular bisector constructions.

Construct a rectangle with compass and straight edge.