Which of the following figures lie on the same base and between the same parallel. In such a case, write the common base and two parallel:
Answers
In Figure (i), ∆PDC and trapezium ABCD are lying on the same base CD and between the same parallels AB and DC.
In figure (ii) parallelograms ABCD & APQD are lying on the same base and between the same parallel AD and BQ.
In figure (iii) ∆TRQ and parallelogram PQRS are lying on the same base RQ and between the same parallels are RQ and SP.
In figure (iv) it can be observed that parallelogram ABCD and ∆PQR are lying between the same parallels AC and BC but they do not have any common base.
In Figure (v) it can be observed that parallelogram PQRS and trapezium MNRS have a common base RS but their vertices (opposite to the common base) P, Q of parallelogram and M , N of trapezium are not lying on the same line. Thus, they are not lying between the same parallels.
In figure (vi) it can be observed that parallelogram PBCS and PQRS are lying on the same base PS, but they do not lie between the same parallels. Similarly, parallelograms AQRD and PQRS are lying on the same base QR but they do not lie between the same parallels.
Hence, figures (i), (iii) & (ii) lie on the same base and between the same parallels.
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Answer:
Nikita's asnwer is absolutely correct