Question

given: ab = bc
prove: b is the midpoint of \\(\overline{ac}\\).
image of a line segment ac with point b between a and c
proof steps: ab = bc (given); \\(\overline{ab} \cong \overline{bc}\\) (def. of \\(\cong\\) segs.); b is the midpoint of \\(\overline{ac}\\) (def. of midpt.)
what is the format of this proof?

• flowchart proof
• two - paragraph proof
• one - paragraph proof
• two - column proof

Explanation:

The proof structure shown has statements (like \(AB = BC\), \(\overline{AB}\cong\overline{BC}\), \(B\) is the midpoint of \(\overline{AC}\)) and corresponding reasons (given, def of \(\cong\) segs, def of midpt) organized in a flowchart - like visual with boxes and arrows, which matches the definition of a flowchart proof. A two - column proof has statements and reasons in two columns, a one - paragraph or two - paragraph proof is a text - based explanation, not a box - and - reason - with - arrows structure.

Answer:

flowchart proof