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Byju's Answer
Standard IX
Mathematics
Parallelograms on the Same Base and between the Same Parallels
Which of the ...
Question
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
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Solution
(i) Trapezium
A
B
C
D
and
△
P
D
C
lie on the same
D
C
and between the same parallel lines
A
B
and
D
C
.
(ii) Parallelogram
P
Q
R
S
and trapezium
S
M
N
R
lie on the same base
S
R
but not between the same parallel lines.
(iii) Parallelogram
P
Q
R
S
and
△
R
T
Q
lie on the same base
Q
R
and between the same parallel lines
Q
R
and
P
S
.
(iv) Parallelogram
A
B
C
D
and
△
P
Q
R
do not lie on the same base but between the same parallel lines
B
C
and
A
D
.
(v) Quadrilateral
A
B
Q
D
and trapezium
A
P
C
D
lie on the same base
A
D
and between the same parallel lines
A
D
and
B
Q
.
(vi) Parallelogram
P
Q
R
S
and parallelogram
A
B
C
D
do not lie on the same base
S
R
but between the same parallel lines
S
R
and
P
Q
.
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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)