# Area of Parallelograms and Triangles – Exercise 9.1 – Class IX

1. Which of the following figures lie on the same base and between the same parallels? In such a case, write the common base and the two parallels.

Solution:

(i) yes.It is observed that trapezium ABCD and triangle PCD have a common base and  AB and CD are the parallels are AB and CD

(ii)No. It is observed that parallelogram PQRS and trapezium MNRS have common base RS . But they do not lie on the same line.

(iii) yes.It is observed that parallelogram PQRS and triangle TQR have a common base QR and the parallels are PS and QR

(iv)No. It is observed that parallelogram ABCD and triangle PQR are lying between the same parallel lines AD abd BC . But these do not have common base.

(v) yes. It can be observed that parallelogram ABCD and parallelogram APQD have a common base AD and these are lying between the same parallel lines AD and BQ.

(vi) No. It can be observed that parallelogram PBCS and PQRS are lying on the sa,e base PS. But these do not lie between the same parallels.

For next exercise – Area of Parallelograms and Triangles – Exercise 9.2 – Class IX