SOLUTION: Solve proof of theorem 56 given: oc is perpendicular to ab in circle o prove: oc bisects ab

Question 252935: Solve proof of theorem 56
given: oc is perpendicular to ab in circle o
prove: oc bisects ab
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
STATEMENT 1: circle with center at C.
REASON 1: given
STATEMENT 2: OC PERP. AB
REASON 2: given
STATEMENT 3: angle OCA congruent angle OCB
REASON 3: definition of perpendicular lines
STATEMENT 4: OC congruent OC
REASON 4: reflexive property of equality
STATEMENT 5: OA congruent OB
REASON 5: all radii of the same circle are congruent.
STATEMENT 6: triangle OCA congruent triangle OCB
REASON 6: HL postulate
STATEMENT 7: AC congruent BC
REASON 7: CPCTC
STATEMENT 8: OC bisect AB
REASON 8: definition of segment bisector.
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