NCERT Class 9 Solutions: Areas of Parallelograms and Triangles (Chapter 9) Exercise 9.1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Trapezoid is a Quadrilateral with One Pair of Parallel Side …
A Parallelogram and Its Properties

Q-1 Which of the following figure lie on the same base and between the same parallel. In such a case, write the common base and the two parallels.

Fig 1: Parallelogram, Trapezium and Triangles
Fig 2: Parallelogram, Trapezium and Triangles
Fig 3: Parallelogram, Trapezium and Triangles
Fig 4: Parallelogram, Trapezium and Triangles
Fig 5: Parallelogram, Trapezium and Triangles
Fig 6: Parallelogram, Trapezium and Triangles

Image title: Figure with different types of parallelogram, trapezium and triangles

Description: Figure with different types of parallelogram, trapezium and triangles

Solution (i) :

Trapezium ABCD and Triangle PDC

It can be observed that trapezium ABCD and triangle PCD have a common base CD and are lying between the same parallel lines AB and CD.

Solution (ii)

Parallelograms PQRS and Trapezium SMNR
As can be seen above, parallelogram PQRS and trapezium SMNR are on same base SR but not between the same parallel lines.

Solution (iii)

Parallelogram ABCD and Triangle RTQ

As can be seen above, parallelogram PQRS and ΔRTQ lie on the same base QR and between the same parallel lines QR and PS.

Solution (iv)

Parallelogram ABCD and Triangle PQR

In the above figure, parallelogram ABCD and ΔPQR do not lie on the same base but between the same parallel lines BC and AD.

Solution (v)

Quadrilateral ABQD and Trapezium APCD

Quadrilateral ABQD and trapezium APCD lie on the same base AD and between the same parallel lines AD and BQ.

Solution (vi)

Parallelogram PQRS and Parallelogram ABCD

Parallelogram PQRS and parallelogram ABCD do not lie on the same base SR but between the same parallel lines SR and PQ.