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Chapter 3: Q28. (page 115)

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.


AE+EC=AC.

Short Answer

Expert verified

The postulate that justifies the given statement is the Segment Addition Postulate.

Step by step solution

01

Step 1. Find the suitable line segments.

Observe that the three points A,E, C are collinear, and E lies between the line joining of Aand C .

02

Step 2. Determine the theorem or postulate that can be used.

Postulate 2, the Segment Addition Postulate, states that if B is between A and C, then AB+BC=AC.

03

Step 3. Use the postulate.

By using segment addition postulate, the statement AE+EC=ACis justified.

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