MATH SOLVE

4 months ago

Q:
# Select the statement that best justifies the conclusion based on the given information.B is between A and CConclusion: A, B and C are collinear.(answers:)a) Definition of betweenness.b) Definition of collinear.c) Through any two different points, exactly one line exists.d) A line contains at least two points.

Accepted Solution

A:

Answer:Option c.Step-by-step explanation:Given information: B is between A and C.Conclusion: A, B and C are collinear.Definition of betweenness : If A, B, and C are distinct points all on a single line thenAB + BC = AC, B lies in the interior of the line segment AC.
Definition of collinear: If three or more points lie on a single line, then they are said to be collinear.We know that, through any two different points, exactly one line exists.It is given that B is between A and C. It means A,B and C lie on a single lineTherefore, the correct option is c.