The two-column proof is for the paragraph proof is shown in the table below.
What is a Two-column Proof?
A two-column proof is a table that shows the statements on one column and the reasons on another column that are used to prove a statement in mathematics.
What is the Segment Addition Postulate?
The segment addition postulate states that when a point, A, lies in between two endpoints, B and C, then the sum of BA and AC equals the length of segment BC.
The reasons and statements that can be used to create the two-column proof for the paragraph proof are stated as follow:
Statement 1: AB = CD
Reason 1: Given
Statement 2: AB + BC = CD + BC
Reason 2: Addition property of equality
Statement 3: BC = DE
Reason 3: Given
Statement 4: AB + BC = CD + DE
Reason 4: Substitution property of equality
Statement 5: AB + BC = AC; CD + DE = CE
Reason 5: Segment addition postulate
Statement 6: AC = CE
Reason 6: Substitution property of equality
In summary, the two-column proof is for the paragraph proof is shown in the table below.
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