Construct Parallelogram, Square and Rectangle



In this lesson, 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.







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