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Byju's Answer
Standard IV
Mathematics
Properties of a Parallelogram
If ABCD is a ...
Question
If
A
B
C
D
is a parallelogram then what are the lengths of
C
D
and
D
A
?
A
C
D
=
4
inch and
D
A
=
6
inch
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B
C
D
=
6
inch and
D
A
=
6
inch
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C
C
D
=
6
inch and
D
A
=
4
inch
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D
C
D
=
4
inch and
D
A
=
4
inch
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Solution
The correct option is
C
C
D
=
6
inch and
D
A
=
4
inch
As we know opposite sides of a parallelogram are equal, now as per the above figure,
A
B
=
C
D
=
6
inch
B
C
=
D
A
=
4
inch
∴
C
D
=
6
inch
&
D
A
=
4
inch
.
(c) is the correct option.
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Similar questions
Q.
ABCD is a parallelogram. W, X, Y and Z are points on sides AB, BC, CD, and DA respectively, such that
A
W
=
D
Y
. If ar
(
A
B
C
D
)
=
400
c
m
2
, what is the area of quadrilateral WXYZ?
Q.
In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB=OD. If AB=CD, then show that
1. ar(DOC)=ar(AOB)
2. ar(DCB)=ar(ACB)
3. DA||CD or ABCD is a parallelogram.
Q.
E,F,G,H are respectively, the midpoints of the sides AB,BC,CD and DA of parallelogram. ABCD. Show that the quadrilateral EFGH is a parallelogram and that its area is half the area of the parallelogram ABCD.
Q.
A
B
C
D
is quadrilateral
E
,
F
,
G
and
H
are the midpoints of
A
B
,
B
C
,
C
D
and
D
A
respectively. Prove that
E
F
G
H
is a parallelogram
Q.
In the given figure diagonals AC and BD the of quadrilateral ABCD intersect at O such that OB =OD.
If AB =CD, then show that:
(i) ar (DOC) =ar (AOB)
(ii) ar (DCB) =ar (ACB)
(iii) DA||CB or ABCD is a parallelogram
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