Quadrilaterals-Sample Questions

1.   ABCD is a parallelogram such that its diagonals are equal. What is the measure of ∟ABC?

2.   In a parallelogram ABCD, if ∟C = 80° then what is the measure of ∟A?

3.   In a parallelogram ABCD, if ∟A is 4/5 of ∟B, then what is ∟A?

4.   Each side of a rhombus is 15 cm. if the length of one of its diagonals is 18 cm, then what is the length of the other diagonal?

5.   ABCD is a rhombus such that ∟ADB = 50°, then what is the measure of ∟ACB?

6.   A diagonal of a rectangle is inclined to one side of the rectangle at 25°. What is the measure of acute angle between the diagonals?

7.   Diagonals of a parallelogram ABCD intersect at O. if ∟BOC = 90°and ∟BDC = 40°, then what is the measure of ∟OAB?

8.   Name various kinds of parallelogram.

9.   In a ΔABC, D, E and F are mid-points of sides AB, AC and BC respectively. If DE and DF are joined, find the perimeter of BDEF.

10.   A diagonal of a parallelogram divides it into how many congruent triangles?