Parallelograms
Parallelograms: Overview
This topic covers concepts, such as, Parallelogram, Elements of a Parallelogram, Properties for Angles of a Parallelogram & Properties for Diagonals of a Parallelogram etc.
Important Questions on Parallelograms
In a parallelogram PQRS, diagonals PR and QS intersect each other at O. If angle and angle then what is the measure of angle


In the given figure is a parallelogram, find

Draw a parallelogram and name the opposite sides.

Draw a parallelogram and name the opposite angles.

Draw a parallelogram and name the adjacent angles.

Draw a parallelogram and name the adjacent sides.

is a parallelogram. Diagonals and meet at . is a line segment through . Give the reasons for the following:\
Reason | |

In the adjoining figure, is a square. A line segment cuts at and the diagonal at such that . Find the value of .

If and are two parallel lines, then the bisectors of the angles and form

Why is a kite not a parallelogram?

What is the difference between a parallelogram and a kite?

_____ is a quadrilateral that is both a kite and parallelogram.

Which of the following is true for the adjacent angles of a parallelogram?

is a parallelogram, bisects and bisects . If
Prove that .

Consider the Parallelogram and answer the following question.
Is ? (opposite sides)

In the following figure, two intersecting diagonals have been drawn.
If the end points of these diagonals are joined, what type of quadrilateral would you get?

Find the missing angles in the following parallelograms :

ABCD is a parallelogram in which a pair of adjacent angles are in the ratio . Find the measure of all the angles.

ABCD is a parallelogram.
Find the values of, , and .
