Diagonal of a Parallelogram Divides It into Two Congruent Triangles

Q.

If the diagonal BD of a parallelogram bisects $\angle$B and $\angle$D, then ABCD is a

1. Rectangle

2. Rhombus

3. Square

4. Trapezium

Q. What will be the area of triangle ABC, if the area of parallelogram ABCD is 48 sq. units?

1. 24 sq. units
2. 18 sq. units
3. 32 sq. units
4. 12 sq. units

Q. A diagonal of a parallelogram divides the parallelogram into two congruent triangles.

1. False
2. True

Q. Question 181
In parallelogram ABCD, the angle bisector of $\angle A$ bisects BC. Will angle bisector of B also bisect AD? Give reason.

Q. Match the following according to the properties of a parallelogram.

1. bisect each other
2. are parallel
3. are supplementary