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# 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.

"

To do:

We have to find whether the given figures lie on the same base and between the same parallels and write the common base and two parallels.

Solution:

(i) From the figure,

Trapezium $ABCD$ and triangle $DPC$ on the same base $DC$ and between the same parallels $AB$ and $DC$ .

(ii) From the figure,

Parallelogram $PQRS$ and trapezium $SMNR$ on the same base $SR$ but they are not between the same parallels.

(iii) From the figure,$\triangle QRT$ and parallelogram $PQRS$ are on the same base $QR$ and between the same parallels $QR$ and $PS$.

(iv) From the figure,

Parallelogram $ABCD$ and $\triangle PQR$ are between the same parallels $AD$ and $BC$ but they are not on the same base.

(v) From the figure,

Parallelograms $ABCD$ and $APQD$ are on the same base $AD$ and between the same parallels $AD$ and $BQ$.

(vi) From the figure,

Parallelograms $PQRS, AQRD, BCQR$ are between the same parallels. Also, parallelograms $PQRS, BPSC$ and $APSD$ are between the same parallels.

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