Related Topics: More Geometry Lessons
Construct a parallelogram ABCD with sides AB = 4 cm and AD = 5 cm and angle A = 60˚.
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 given the lengths of its diagonals, using the property that diagonals of a parallelogram bisect each other. An infinite number of parallelograms are possible.
The following video shows how to construct a square with a compass and straight edge given the length of a diagonal.
The following video shows how to construct a square given the length of one side.
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