all the four vertices of a cyclic quadrilateral lie on a a) square b) rectangle c) circle d) parallelogram
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circle so, c is your answer
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All the four vertices of a cyclic quadrilateral lie on a: c) circle.
circle:
A cyclic quadrilateral is defined as a quadrilateral that is circumscribed by a circle. All four vertices of a cyclic quadrilateral are on a circle.
Explanation for incorrect options:
a) square
A square is a quadrilateral in which all four sides are the same length and all angles are the same.
b) rectangle
A rectangle is a type of quadrilateral with equal and parallel opposite sides. It's a four-sided polygon with four angles of 90 degrees each.
d) parallelogram
A parallelogram is a quadrilateral with both pairs of opposite sides that are parallel and equal.
Hence, a cyclic quadrilateral has four vertices that are all on a circle.
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