Areas of Parallelograms and Triangles- 1 RD Sharma Solutions | Mathematics (Maths) Class 9 PDF Download

 Page 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 two parallels:
i
ii
iii
iv
v
vi
Page 2


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 two parallels:
i
ii
iii
iv
v
vi
Solution:
GIVEN: Here in the question figure 1 to 6 are shown.
To Find :
1 The figures which lie on the same base and between the same parallels.
2 Write the common base and parallels.
As we know that ‘Two geometric figures are said to be on the same base and between the same parallels, if they have a
common side
base and the vertices
orvertex opposite to the common base of each figure lie on a line parallel to the base.’
1 ?APB and trapezium ABCD are on the same base CD and between the same parallels AB and CD.
2 Parallelograms ABCD and APQD are on the same base AD and between the same parallels AD and BQ.
 
3 Parallelogram ABCD and ?PQR are between the same parallels AD and BC,. but they are not on the same base AD 
 
4 Parallelogram ABCD and ?PQR are between the same parallels AD and BC,. but they are not on the same base AD .
 
Page 3


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 two parallels:
i
ii
iii
iv
v
vi
Solution:
GIVEN: Here in the question figure 1 to 6 are shown.
To Find :
1 The figures which lie on the same base and between the same parallels.
2 Write the common base and parallels.
As we know that ‘Two geometric figures are said to be on the same base and between the same parallels, if they have a
common side
base and the vertices
orvertex opposite to the common base of each figure lie on a line parallel to the base.’
1 ?APB and trapezium ABCD are on the same base CD and between the same parallels AB and CD.
2 Parallelograms ABCD and APQD are on the same base AD and between the same parallels AD and BQ.
 
3 Parallelogram ABCD and ?PQR are between the same parallels AD and BC,. but they are not on the same base AD 
 
4 Parallelogram ABCD and ?PQR are between the same parallels AD and BC,. but they are not on the same base AD .
 
5 ?QRT and Parallelogram PQRS are on the same base QR and between the same parallels PS and QR.
 
6 Parallelogram PQRS, AQRD, and BCQR are between the same parallels. Also Parallelogram PQRS, BPSC and APSD
are between the same parallels.