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?

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?

happykiddo · Answer

Statement: Triangle ODS is congruent to triangle OBT. 
   Reason: ASA triangle congruency principle.
		Statement: Triangle ODS is congruent to triangle OBT.
       Reason: Hypotenuse-leg triangle congruency principle.
		Statement: Angle SOD is congruent to angle TOB. 
   Reason: Vertically opposite angles are congruent.
		Statement: Angle OSD is congruent to angle OTB. 
   Reason: Corresponding angles of congruent triangles are congruent

happykiddo · Answer

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