The chords of congruent circles subtending equal angles at their centres are

sometimes equal under certain conditions

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unequal

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equal

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not related at all

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Solution

The correct option is D equal
$G i v e n - A & B a r e t w o c o n g r u e n t c i r c l e s w i t h c h o r d s P Q & S T r e s p e c t i v e l y . P Q & S T s u b t e n d e q u a l a n g l e s t o t h e c e n t r e O . i . e ∠ P A Q = ∠ S B T . T o p r o v e t h a t - P Q = S T P r o o f - W e k n o w t h a t c o n g r u e n t c i r c l e s h a v e e q u a l r a d i i . ∴ A P = A Q = B S = B T = r . S o, b e t w e e n Δ P A Q & Δ B S T w e h a v e A P = A Q = B S = B T = r a n d ∠ P A Q = ∠ S B T . ∴ B y S A S t e s t, Δ P A Q ≅ Δ B S T ⟹ ∠ P A Q = ∠ S B T . S o t h e c h o r d s P Q = S T . Q . E . D . A n s - O p t i o n C .$

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Similar questions

Q. Recall that two circles are congruent if they have the same radius then equal chords of congruent circles subtend equal angles at their centres.

Q. Recall that two circles are congruent, if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres

Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Question 1
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Question 1
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

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