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Construct A Parallelogram and A Square

In this lesson, we will look at how to construct a parallelogram given lengths of the sides and an angle and how to construct a square.

 

 

Construct A Parallelogram

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.


Consruct a Square

The following video shows how to construct a square with a compass and straight edge.

 

 

 

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More Geometry Help on MathWorld

 

 

 

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