
Concept explainers
To write: The existence and uniqueness statements of the phrase Thesegment that has exactly one midpoint.

Answer to Problem 3CE
All segments have a midpoint states the existence and a segment has only one midpoint states the uniqueness
Explanation of Solution
Given information:
Reword the following statement as two statements, one describing existence and the other describing uniqueness: A segment has exactly one midpoint.
Formula used:
A segment has exactly one midpoint
Calculation:
Consider the following statement and reword it into two statements, one describing existence and other uniqueness.
“A segment has exactly one midpoint”
Statement describing Existence is:
“All segments have a midpoint-”
Statement describing Uniqueness is:
“A segment has only one midpoint.”
Hence, the answer is “All segments have a midpoint states the existence and a segment has only one midpoint states the uniqueness.”
Conclusion:
All segments have a midpoint states the existence and a segment has only one midpoint states the uniqueness
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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