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.

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Detailed Solution

(i)Yes, Figure (i) lies on the same base and between the same set of parallel lines

It can be observed that trapezium ABCD and triangle PCD have a common base CD and these are lying between the same set of parallel lines AB and CD.

(ii)No, Figure (ii) does not satisfy the condition of having a common base and lying between the same set of parallel lines.

It can be observed that parallelogram PQRS and trapezium MNRS have a common base RS. However, 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. Hence, parallelogram PQRS and trapezium MNRS do not lie between the same set of parallel lines.

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