Mathematics
Every cyclic parallelogram is a/an :
square
rhombus
rectangle
isosceles trapezium
Circles
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Answer

Given,
ABCD is a cyclic parallelogram.
∠ABC = ∠ADC [Opposite angles of parallelogram are equal]
∠ABC + ∠ADC = 180° [Sum of opposite angles of cyclic quadrilateral is 180°]
∠ABC + ∠ABC = 180°
2∠ABC = 180°
∠ABC =
∠ABC = ∠ADC = 90°
A parallelogram one of whose angle is 90° is a rectangle.
Hence, Every cyclic parallelogram is a rectangle.
Hence, option 3 is the correct option.
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Related Questions
The exterior angle of a cyclic quadrilateral is equal to :
90°
the interior opposite angle
the interior adjacent angle
any of the interior angles
Any two angles formed in the same segment of a circle are :
complementary
supplementary
each right angle
equal
An isosceles trapezium is always :
a parallelogram
a square
a rectangle
a cyclic quadrilateral
Which of the following quadrilaterals is not always a cyclic quadrilateral?
square
rhombus
rectangle
an isosceles trapezium