SOLUTION: Hello, Geometry tutor. Please help me with Problem #1: All of this is given: if triangle CDO is congruent to triangle CBO, then line segment DC is congruent to line segment BC

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Question 29579: Hello, Geometry tutor. Please help me with Problem #1:
All of this is given: if triangle CDO is congruent to triangle CBO, then line segment DC is congruent to line segment BC by cpctc (corresponding parts of congruent triangles are congruent).
Did I approach this problem correctly? I'm not sure about step 3 and step 4.
I wrote my STATEMENTS and REASONS as follows:
STATEMENT: 1. Line segment AC bisects line segment DB at point O.
REASON: 1. Given.
STATEMENT: 2. Line segments DO and BO are congruent.
REASON: 2. Given. Definition of Bisector of a Segment. (by Definition 1.16 - A line that divides a line segment into two congruent line segments).
STATEMENT: 3. Line segment AC is perpendicular to line segment BD.
REASON: 3. Given.
STATEMENT: 4. Angle 1 & 2 are adjacent angle's whose non-common side form a line.
REASON: 4. Given. Definition of Perpendicular Lines. (by Definition 1.18 - Two lines are perpendicular if, & only if, they meet & form congruent adjacent angles).
STATEMENT: 5. Line segment CO is congruent to line segment CO.
REASON: 5. Given. Reflexive Law of congruent. (by Postulate 1.6 - states that any quantity is equal to itself).
STATEMENT: 6. Triangle CDO is congruent to triangle CBO.
REASON: 6. SAS is congruent to SAS.
STATEMENT: 7. Line segment DC is congruent to line segment BC.
REASON: 7. cpctc. (corresponding parts of congruent triangles are congruent).
Answer by ikdeep(226) About Me  (Show Source):
You can put this solution on YOUR website!
please provide the diagramm,,,,,it will hepl in better understanding..