SPECIAL TYPES OF QUADRILATERALS

1) The angles P,Q,R,S of a quadrilateral are in the ratio 1:3:7:9
a) find the measure of each angle.
b) Is PQRS a trapezium? Why?
c) Is PQRS a parallelogram? Why?

2) State True or False
a) Every rectangle is a parallelogram.
b) Every parallelogram is a rhombus.
c) Every rhombus is a parallelogram.
d) Every rectangle is a square.
e) Every square is a rectangle.
f) Every square is a rhombus.
g) Every parallelogram is a rectangle.
h) Every parallelogram is a square.

3) 2 adjacent angles of a parallelogram are equal.Find the measure of each angle of the parallelogram.

4) The ratio of 2 adjacent sides of a parallelogram are in the ratio 2:3.If its perimeter is 48 cm,find the sides of the parallelogram.

5) The diagnols of a quadrilateral are of lengths 10 cm and 24 cm. If the diagnols bisect each other at right angles, find the length of each side of the quadrilateral. What special name will you give to the quadrilateral?