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

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True

R.E.F image

Given, $O A = O^{1} C = O B = O^{1} D$

(congruent circles)

also $A B = C D$ (chords)

$\Rightarrow$ By S.S.S congruently,

$△ O A B ≅ △ O^{1} C D$

$\Rightarrow ∠ A O B = ∠ C O^{1} D$

Suggest Corrections

Similar questions

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.

Q. Recall that two circles are congruent if they have the small radii. Then the angles subtended by the equal chord to the centres are

Join BYJU'S Learning Program

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

The correct option is A TrueR.E.F image Given,OA=O1C=OB=O1D(congruent circles)also AB=CD (chords)⇒ By S.S.S congruently,△OAB≅△O1CD⇒∠AOB=∠CO1D

The correct option is A True

R.E.F image

Given, $O A = O^{1} C = O B = O^{1} D$

(congruent circles)

also $A B = C D$ (chords)

$\Rightarrow$ By S.S.S congruently,

$△ O A B ≅ △ O^{1} C D$

$\Rightarrow ∠ A O B = ∠ C O^{1} D$