Chapter 2: Q4 (page 45)

State which postulate, definition, or theorem justifies the statement about the diagram.
If E is the midpoint of $\bar{A F}$ , then $\bar{A E} ≅ \bar{E F}$ .

Short Answer

Expert verified

The midpoint theorem justifies the statement about the diagram.

Step by step solution

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.

Step 2. State the midpoint theorem.

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

Step 3. State the conclusion.

Considering the given diagram and the statement that if E is the midpoint of $\bar{A F}$ , then $\bar{A E} ≅ \bar{E F}$ .

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

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State which postulate, definition, or theorem justifies the statement about the diagram.
If E is the midpoint of $\bar{A F}$ , then $\bar{A E} ≅ \bar{E F}$ .

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the midpoint theorem.

Step 3. State the conclusion.

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State which postulate, definition, or theorem justifies the statement about the diagram.If E is the midpoint of AF¯, then AE¯≅EF¯.

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the midpoint theorem.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

State which postulate, definition, or theorem justifies the statement about the diagram.
If E is the midpoint of $\bar{A F}$ , then $\bar{A E} ≅ \bar{E F}$ .