Concept explainers
To examine: The postulate that two lines intersect in exactly one point.
Answer to Problem 1CE
The postulate 6 through any two points there is exactly one line.
Explanation of Solution
Given information:
It states that two lines intersect in exactly one point. The diagram suggests what would happen if you tried to show two “lines" drawn through two points.
Formula used:
The two lines intersect only in one point
Calculation:
Refer to the figure provided in the text book.
Consider the below statement and the figure associated with it
Theorem 1-1 states that two lines intersect only in one point.
The diagram suggest what would happen if you tried to show two lines drawn through two points.
State the postulate that makes this situation impossible
From Postulate 6,
Through any two points there is exactly one line
Hence, the answer is “postulate 6 through any two points there is exactly one line.”
Conclusion:
The postulate 6 through any two points there is exactly one line.
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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