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Chapter 2: Q4 (page 45)

State which postulate, definition, or theorem justifies the statement about the diagram.

If E is the midpoint of AF炉, then AE炉鈮�EF炉.

Short Answer

Expert verified

The midpoint theorem justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes a straight-line AEF and two other lines meet the line AEF at the point E. E is the midpoint of AF.

02

Step 2. State the midpoint theorem.

The theorem states that if E is the midpoint of AF, then AE is equal to EF.

03

Step 3. State the conclusion.

Considering the given diagram and the statement that if E is the midpoint of AF炉, then AE炉鈮�EF炉.

The theorem that justifies the statement about the diagram is the midpoint theorem.

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