Which of the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels: Figure (ii) Figure (iii) Figure Figure (ii) Figure (iii) Figure

Explanation

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

2)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`.
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.
Yes, Figure (iii) lies on the same base and between the same set of parallel lines.

It can be observed that parallelogram `PQRS` and `triangle QTR` have a common base `QR` and they are lying between the same set of parallel lines `PS` and `QR`.
iv)No, Figure (iv) 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 `ABCD` and `triangle PQR` are lying between the same set of parallel lines `AD` and `BC`. However, these do not have any common base.

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

It can be observed that parallelogram `ABCD` and parallelogram `APQD` have a common base `AD`and these are lying between the same set of parallel lines `AD` and `BQ`
No, Figure (vi) 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 `PBCS` and `PQRS` are lying on the same base `PS`. However, these do not lie between the same set of parallel lines.

Note: Any two parallelograms in the given figure will not lie between same parallel lines..