12. Prove that a cyclic parallelogram is a rectangle,
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12. Prove that a cyclic parallelogram is a rectangle,
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Answer:
Given,
ABCD is a cyclic parallelogram.
To prove,
ABCD is a rectangle.
Proof:
∠1+∠2=180° ...Opposite angles of a cyclic parallelogram
Also, Opposite angles of a cyclic parallelogram are equal.
Thus,
∠1=∠2
⇒∠1+∠1=180°
⇒∠1=90°
One of the interior angle of the parallelogram is right angled. Thus,
ABCD is a rectangle.
solution