## Karnataka Board Class 9 Maths Chapter 11 Areas of Parallelograms and Triangles Ex 11.1

Question 1.

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.

Solution:

(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) Parallelogram 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.