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Byju's Answer
Standard IX
Mathematics
Rectangle
ABCD is a qua...
Question
ABCD is a quadrilateral. If AC and BD bisect each other then ABCD must be a
A
triangle
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B
cylinder
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C
parallelogram
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D
pyramid
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Solution
The correct option is
C
parallelogram
⇒
In a given question it is given that ABCD is a quadrilateral.
⇒
We know that quadrilateral has four sides and sum of it's interior angles is 360
∘
⇒
And option A, B and D are not types of quadrilateral because they are not satisfying the properties of quadrilateral.
⇒
Option C parallelogram is a type of quadrilateral having fours sides and sum of its interior angles is 360
∘
.
⇒
And its diagonals bisect each other at point O as given in figure.
⇒
So, right option is option C.
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