Question

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

Answer 1

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. )