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 OS is congruent to segment OT.
Reason: Radii of the same circle are congruent.

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

Statement: Triangle ODS is congruent to triangle OBT.
Reason: ASA triangle congruency principle.

Answer 1

Statement: Segment OS is congruent to segment OT.
Reason: Corresponding parts of congruent triangles are congruent.

Answer 2

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_20/image0014e8dab25.jpg

Answer 3

@experimentX

Answer 4

@panlac01

Answer 5

sorry, about tagging you guys, but I need some serious help.

Answer 6

So, may someone please help me?

Answer 7

where's the figure?

Answer 8

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_20/image0014e8dab25.jpg

Answer 9

do you know how to prove triangles are congruent??

Answer 10

Well, going with what I got here, maybe the SAS ?

Answer 11

yep you are right. But I think the right case is R (right angle) H(height) S(side) (a special case of SSA)

Answer 12

My teacher somehow never mentioned that special case to me....

Answer 13

So I think I am a bit uneducated in that case.

Answer 14

ok......

Answer 15

Thanks for the hint! I will now learn something new.

Answer 16

you are welcome :)