Question

The figure shows a circle with center O and two congruent chords AB and CD. To prove that the chords are equidistant from the center, it has to be proved that segment OS is congruent to segment OT.

Which of these is a step that can be used in the proof?

Statement: Segment OD is congruent to segment OB.
Reason: Radius perpendicular to a chord bisects the chord.

Statement: Segment OS is congruent to segment SD.
Reason: Congruent sides of isosceles triangle OSD.

Statement: Segment OD is congruent to segment OB.
Reason: Radii of the same circle are congruent.

Answer 1

@ganeshie8

Answer 2

the dotted segments in diagram, OD and OB are radii right ?

Answer 3

so they both are equal, cuz all radii are equal

Answer 4

Statement: Segment OD is congruent to segment OB.
Reason: Radii of the same circle are congruent. ?

Answer 5

Yes !

Answer 6

Thank You !