Construct the following quadrilateral: Quadrilateral where , , , and .
Constructing the quadrilateral :
Let's draw a rough sketch of a parallelogram , to get an idea about the parallelogram -
By the properties of the parallelogram, we know that opposite sides are equal, therefore
Let's construct the parallelogram using the information given in the question -
Step 1: Draw a line segment
Step 2: Take an arc of radius on the compass & cut an arc from point , then change the radius to and cut another arc from point which intersect the previous arc at point and then join
Step 3: Take an arc of radius on the compass & cut an arc from point , then change the radius to and cut another arc from point which intersect the previous arc at point
.
Step 4: Join to get the required quadrilateral -
Hence, is the required quadrilateral.