Class 9 NCERT Solutions – Chapter 9 Areas of Parallelograms And Triangles – Exercise 9.1

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.

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