Chords equidistant from the center of a circle are equal in length.
Text Solution
Verified by Experts
In `/_\AOX` and `/_\DOY`
`/_OXA=/_OYD` (perpendicular angles)
`OA=OD` (radius)
`OX=OY` (given)
By RHS congruency, `/_\AOX` and `/_\DOY` are congreunt.
`AX=DY` (CPCT)
For chord `AB`
...
Topper's Solved these Questions
NCERT THEOREMS
NCERT|Exercise THEOREM 10.8|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 10.9|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 10.6|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
The chords which are equidistant from the centre of a circle are equal only if they are parallel to each other. [True // False ]
Chords of a circle which are equidistant from the centre are equal.
Write the following statements in conditional form, "chords, which are equidistant from the centers of congruent circles, are congruent."
Chord AB is 6 inches from the center of the circle and is 10 inches long.Draw another chord CD that is equidistant from the center of the circle.How long is chord CD?
Prove that the chords inclined on the same angle to the radius or diameter of a circle are equal in length.
Chords of congruent circles which are equidistant from the corresponding centres, are equal.
Chords of congruent circlles which are equidistant from the corresponding centres; are equal.
If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to
