Understanding Quadrilaterals-Sample Questions

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.