Question

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.

Answer 1

(i) ∆PDC and quadrilateral ABCD are on DC. 

They are in between AD || DC

(ii) Parallelogram PQRS is on base SR. 

Trapezium SRMN is on base SR. 

But they are not in S between SR || PQ.

(iii) Parallelogrm PQRS and ∆TRQ are on the base RQ and in between PS || RQ.

(iv) Parallelogram ABCD is on base BC and in between AD || BC.

∆RQP is on base PQ and in between AD || BC. 

∴ Parallelogrm ABCD and ∆RQP are not on same base. 

But they are in between AD || DC.

(v) Here, 

AD || DC, 

AD || BC, 

AP || DQ. 

AD || PQ.

Parallelogrm ABCD and Parallelogram APQD are on same base AD and in between AD || BC. 

(vi) Here, PQ || SR, PS || AD || BC || QR . 

These are on the same base and in between a pair of parallel lines.