Think about the postulates and explain each option referring to the postulates.
H
Practice makes perfect
Examining the given statements, let's determine which one cannot be true. To do that, we will construct a table so that the explanations will be more organized.
Option
Statement
Truth Value
Explanation
F
Three noncollinear points determine a plane.
True
By Postulate 2.2
G
Two lines intersect in exactly one point.
True
By Postulate 2.6
H
At least two lines can contain the same two points.
False
By Postulate 2.1: Through any two points there is exactly one line.
I
A midpoint divides a segment into two congruent segments.
True
By the Midpoint Theorem
As result, the statement in option Hcannot be true.
