Home
Class 10
MATHS
If two arcs of a circle (or of congruent...

If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.

Text Solution

Verified by Experts

In `Delta ABC` and `Delta DBE `
side `AB ~= ` side DB …( Radii of the same circle )

side `BC ~= ` side EB …..(Radii of the same circle )
`/_ ABC ~= Delta /_DBE ` ….(Measure of congruent arcs )
`:. Delta ABC ~= Delta DBE ` ....(SAS test of congruency )
`:.` chord `AC ~= ` chord DE .....(c.s.c.t. )
Promotional Banner

Topper's Solved these Questions

  • THEOREMS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PYTHAGORAS THEOREM|4 Videos

  • STATISTICS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (MCQs)|35 Videos

  • TRIGONOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGING QUESTIONS|6 Videos

Similar Questions

Explore conceptually related problems

If two arcs of a circle are congruent; then corresponding chords are equal

If two chord of a circle (or of congruent circles) are equal,then their corresponding arcs.(minor,major or semi-circular) are congruent.

Congruent Circles and Arc

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 two chords of a congruent circle are equal; then their corresponding arcs.

Equal chord of congruent circles are equidistant from the corresponding centres.

Equal chords of congruent circles are equidistant from the corresponding 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.

IF the angle subtended by two chords of congruent circles at the corresponding centres are equal.