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Chapter 2: Q2 (page 45)

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

AE+EF=AF

Short Answer

Expert verified

The Segment Addition Postulate 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 point E.

02

Step 2. State the Segment Addition Postulate.

The postulate states that if two points P and Q are given on a line segment, then a third point R will lie on the line segment PQ if and only if PR+RQ=PQ.

03

Step 3. State the conclusion

Considering the given diagram and the statement AE+EF=AF.

The postulate that justifies the statement about the diagram is the Segment Addition Postulate.

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Most popular questions from this chapter

Justify each statement with a property from algebra or property of congruence ∠P≅∠P.

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Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

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State the hypothesis and the conclusion of each conditional.

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

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