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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.

construct parallelogram



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.

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.


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