AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD arediameters, (ii) ABCD is a rectangle
Text Solution
Verified by Experts
AC and BD are chords of circle.
anyline which is perpendicular and bisects the chord that line will pass through the centre.
BD=diameter and AC=diameter.
In`/_AOB and /_DOC`
OC=OA
OB=OD
`/_AOB=/_DOC`
`/_AOB cong /_DOC`
...
Topper's Solved these Questions
CIRCLES
NCERT|Exercise Exercise 10.1|2 Videos
CIRCLES
NCERT|Exercise Solved Examples|6 Videos
AREAS OF PARALLELOGRAMS AND TRIANGLES
NCERT|Exercise EXERCISE 9.1|1 Videos
CONSTRUCTIONS
NCERT|Exercise EXERCISE 11.2|5 Videos
Similar Questions
Explore conceptually related problems
AC and BD are chords of a circle which bisect each other.Prove that (i) AC and BD are diameters (ii) ABCD is a rectangle.
AC and BD are chords of a circle which bisect each other.Prove that (i) AC and BD are diameters (ii) ABCD is a rectangle
AC and BD are chords of a circle that bisect each other.Prove that: AC and BD are diameters ABCD is a rectangle.
In the given figure AB and CD bisect each other at O. Prove that AC = BD.
Two segments AC and BD bisect each other at O. Prove that ABCD is a parallelogram.
In the given figure, prove that AC = BD .
Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar( Delta AOD) = ar( Delta BOC).
Diagonals AC and BD of a trapezium ABCD with AB| DC intersect each other at O . Prove that ar(AOD)=ar(BOC)
