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Writing Proofs
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Deductive Reasoning and Proving

Example

Prove that any two right angles are congruent.



Solution
Step 1: Restate the statement using the if-then form: If A and B are right angles, then AB.
Step 2: Visualize what is to be proven by drawing the necessary figure(s).
Step 3: Assume the hypothesis. List the given statements.
Given: A and B are right angles.
Step 4: Establish the truth of the conclusion.
Prove: AB

Proof