### Question 1: Which of the following figures lie on the same base and in-between the same parallels? In such a case, write the common base and the two parallels.

**Solution:**

(i)Since, ABCD is a Trapezium and ΔPDC lie on the same base of Trapezium i.e DC and ΔPDC lie in-between the same parallel lines AB and DC.

(ii)Since,Parallelogram PQRS and trapezium SMNR lie on the same base SR but not in-between the same parallel lines.

(iii)Since, Parallelogram PQRS and ΔRTQ lie on the same base QR and ΔRTQ lie in-between the same parallel lines QR and PS.

(iv)Since, Parallelogram ABCD and ΔPQR do not lie on the same base but ΔPQR lie in-between the same parallel lines BC and AD.

(v)Since, Quadrilateral ABQD and trapezium APCD lie on the same base AD and in-between the same parallel lines AD and BQ.

(vi)Since, Parallelogram PQRS and parallelogram ABCD do not lie on the same base SR but parallelogram ABCD in-between the same parallel lines SR and PQ.