Understanding Quadrilaterals-Sample Questions

Sample Paper
1.  One angle of a parallelogram is of measure 70°. Find the measures of the remaining angles of the parallelogram.
2.  In the given figure PR is a diagonal of the parallelogram PQRS.
       (i) Is PS = RQ? Why?
       (ii) Is SR = PQ? Why?
       (iii) Is PR = RP? Why?
       (iv) Is ΔPSR ≌ ΔRQP? Why?
3.  The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm.
       Find length of all sides of the parallelogram.
4.  Lengths of adjacent sides of a parallelogram is 3 cm and 4 cm. Find its perimeter.
5.  In a parallelogram, the ratio of the adjacent sides is 4 : 5 and its perimeter is 72 cm then, find the sides of the parallelogram.
6.  The adjacent figure HOPE is a parallelogram. Find the angle measure x, y and z.
       State the properties you use to find them.
7.  Find value of x and y in the following figures.
       (i) where ABCD is a parallelogram.
       (ii) where PQRS is a rhombus.
8.  Find x, y, z in the given parallelogram ABCD.