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Choose whether the given statement is true or false.

A cyclic parallelogram is a rectangle.

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True

False

answer is A.

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Detailed Solution

Let ABCD is a cyclic parallelogram
To check: ABCD is a rectangle
We know that,
Sum of opposite angles of cyclic parallelogram is 180

°

∠ A + ∠ C = 180 °

Also,

∠ A = ∠ C

∠ A + ∠ A = 180 °

2 ∠ A = 180 °

∠ A = 90 °

Similarly,

∠ B = ∠ C = ∠ D = 90 °

Since, all the angles of parallelogram is

90 °

.
Therefore, ABCD is rectangular.
Hence, the given statement is true.

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