RBSE Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles Ex 9.1

In fig. (i), APDC and trapezium ABCD are on the same base DC and between the same parallels AB and CD.

In fig (ii), we find that parallelogram PQRS and trapezium MNRS are on the same base but their vertices (i.e., opposite to the common base) P, Q of parallelogram and M, N of trapezium, do not lie on the same line. Thus, they do not lie between the same parallels.

In fig (iii), ATRQ and parallelogram PQRS are on the same base RQ and between the same .parallel lines RQ and SP.

In fig (iv), we can observe that parallelogram ABCD and APRQ are between the same parallel lines AD and BC, but they do not have any common base.

In fig (v), parallelograms ABCD and APCD are lying on the same base AD and between the same parallels AD and BQ.

In fig (vi), it can be observed that parallelograms PBCS and PQRS are on the same base PS, but they do not lie between the same parallels. Similarly, parallelograms AQRD and PQRS are on the same base QR, but they do not lie between the same parallels.
Hence, figures (i), (iii) and (v) lie on the same base and between the same parallel lines.