Construct the following quadrilateral: Parallelogram where, and.
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: Draw a ray from point, making an angle of with line segment -
Step 3: Take an arc of radius on the compass and cut it from the point, which intersects ray at -
Step 4: Using the arc of radius. cut an arc from the point, and then take an arc of radius on the compass and cut another arc from a point which intersects the previous arc from at point -
Hence, is the required parallelogram.