State and prove that : Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre
Text Solution
Verified by Experts
This theorem states that, if there are 2 equal chords in a circle, the angles formed by the equal chords at the center of the circle are equal.
Given
AB and CD are two equal chords in a circle with center O.
...
Topper's Solved these Questions
NCERT THEOREMS
NCERT|Exercise THEOREM 10.2|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 10.3|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 9.3|1 Videos
LINES AND ANGLES
NCERT|Exercise SOLVED EXAMPLES|8 Videos
NUMBER SYSTEMS
NCERT|Exercise EXERCISE 1.4|2 Videos
Similar Questions
Explore conceptually related problems
Prove that equal chords of a circle subtend equal angles at the centre.
Equal chord of circle subtends equal angle on centre.
Equal chords of congruent circles subtend equal angles at the centre.
Equal chords of congruent circles subtend equal angles at the centre.
Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.
Theorem:-1If two arcs of a circle are congruent; the corresponding chord are equal and Equal chords of a circle substends equal angles at the centre.
Equal chords of a circle are equidistant from the centre.
prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.
What is the length of the chord of a unit circle which subtends an angle at the centre ?
Prove that if chords of congruent circles subtend equal angles at their centres,then the chords are equal.