A flowchart proof is a compact way showing the logic and reasoning behind a mathematical proof. It's a flowchart with statements in boxes and the reasoning on the right-hand side. The reasoning can be postulates, theorems, or other mathematical reasoning that the reader is assumed to be able to follow without difficulty.
To show how to build a flowchart proof, consider the following figure.
Angles and are complementary. First, write the given information in the first box.
The fact that and are complementary means that their sum is
Since and are congruent they have the same measure.
The next step is to substitute This is called the Property of Equality.
Since the sum of and is they are complementary.
Therefore, and are complementary. The proof is complete.