wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Prove that equal chords of a circle subtend equal angles at the center.
1362717_3e163e4c3df346c0af502e4c3b031d20.PNG

Open in App
Solution

Given: A circle with center O.
AB and CD are equal chords of the circle.
Proof:In AOB and DOC
AO=OD (radius)
AB=CD (given)
OB=OC(radius)
AOBDOC by SSS rule
AOB=DOC by CPCT
Hence proved.

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Chords Corresponding to Congruent Arcs are Congruent
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon