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Chapter 2: Q9 (page 71)

Name or state the postulate, property, definition or theorem that justifies the statement.

MW+WN=MN.

Short Answer

Expert verified

The postulate that justifies the statement is the segment addition postulate.

Step by step solution

01

Step 1. State the segment addition postulate.

The segment addition postulate:

If B lies on a line between two points Aand C, then their intersection is a line.

Then, the distance between the points satisfies the condition AB + BC.

02

Step 2. State the explanation.

Using the segment addition postulate:

If W lies on a line between two points M and N, then MW + WN = MN.

Thus, the statement is justified.

03

Step 3. State the conclusion.

Therefore, the statement is justified by the segment addition postulate.

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