Question

select the definition, property, or postulate that is represented by the diagram.
•x
•y
•z
$xy + yz = xz$
○ midpoint postulate
○ line addition postulate
○ segment addition postulate
○ segment congruence postulate

Explanation:

The diagram shows points \( X \), \( Y \), \( Z \) on a line segment where \( Y \) is between \( X \) and \( Z \). The equation \( XY + YZ = XZ \) represents the Segment Addition Postulate, which states that if a point \( Y \) is on segment \( XZ \), then the sum of the lengths of \( XY \) and \( YZ \) is equal to the length of \( XZ \). The Midpoint Postulate is about a point dividing a segment into two equal parts, the Line Addition Postulate is not a standard term, and Segment Congruence Postulate is about equal - length segments, not addition.

Answer:

C. Segment Addition Postulate