If Z is between X and Y, which Segment Addition Statement is correct? Hint: draw the picture & label it XZ+ZY=XY XY+ZY=XZ XZ+XY=ZY

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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If Z is between X and Y, which Segment Addition Statement is correct?
Hint: draw the picture & label it
XZ+ZY=XY
XY+ZY=XZ
XZ+XY=ZY
Transcribed Image Text:If Z is between X and Y, which Segment Addition Statement is correct? Hint: draw the picture & label it XZ+ZY=XY XY+ZY=XZ XZ+XY=ZY
Expert Solution
Step 1: How to solve

I am going to solve the problem by using some simple geometry to get the required result of the given problem.

We know that the segment addition postulate states that if a line segment has two endpoints, A and B, a third point C lies somewhere on the line segment AB if and only if the equation AC + BC = AB is satisfied. 

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