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Standard VII
Mathematics
Question
Check whether the following statement is true or not:
Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.
True
False
A
True
B
False
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Solution
Verified by Toppr
Let a line segment
A
B
and
C
D
intersect at point O in such that
O
A
=
O
D
O
B
=
O
C
A
C
=
B
D
But, from the above,
we can conclude that,
O
C
≠
O
D
A
O
≠
O
B
So,
A
C
may not be parallel to
B
D
.
The correct option is A.
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Similar Questions
Q1
Check whether the following statement is true or not:
Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.
View Solution
Q2
Let the line segments AB and CD intersect at O in such a way that OA = OD and OB = OC. Prove that AC = BD but AC may not be parallel to BD.