If chords of congruent circles subtend equal angles at their centers, then the length of chords are equal. This statement is _____.

True

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False

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Solution

The correct option is A True
In $△ A O B$ and $△ C O D$
$∠ A O B . ∠ C O D$ (given)
$A O . O C$ [Radius of congruent circles]
$O B . O D$
$△ A O B ≅ △ C O D$ (SAS congruent)
$\Rightarrow A B . C D$ (CPCT proved)
states that chords of congruent circles subtend equal of their center then the length of chord are equal.

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Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Question 2
Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Question 2
Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

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