
Concept explainers
To Find: The conjecture for the two points are equidistant from the third point then the three points are collinear is false or true and given an counter example for it.

Answer to Problem 53HP
The required conjecture is false as the A and B are equidistant from the above point C and the points A, B and C are not collinear.
Explanation of Solution
The require figure is shown in Figure 1
Figure 1
In the figure the points A and B are equidistant from the above point C and the points A, B and C are not collinear this is the required counterexample. This shows that the required counter example is false.
Chapter 2 Solutions
Geometry, Student Edition
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