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Chapter 1: Q10. (page 31)

Given the diagram, tell whether you can reach the conclusion shown.

Which postulate justifies the statementAX+XC=AC?

Short Answer

Expert verified

The segment addition postulate is the required postulate.

Step by step solution

01

Step 1. Find the suitable postulate.

The postulate 2 is the suitable postulate which states that if a point with the name of X is present between 2 points with the name of Y and Z these points are the end points of a line then it should satisfy the equation:

YX+XZ=YZ

02

Step 2. Relate the postulate.

According to the given figure the point Y is same as the point A and the point Z is same as the point C because the point X is just in the middle of the points A and C also these two points are the end point of a line.

03

Step 3. Make the conclusion by using the relation.

As the provided equation is according to the segment addition postulate so the required postulate is segment addition postulate.

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