Given:
Given a line segment with endpoints A(2, -4) and B(2, 2).
Required: To check (-1,2) is the midpoint of the line.
Explanation: The midpoint of a line segment joining two points (a, b) and (c, d) is
[tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Here, a = 2, b =-4, c = 2 and d = 2. Then
[tex]\begin{gathered} m=(\frac{2+2}{2},\frac{-4+2}{2}) \\ =(\frac{4}{2},-\frac{2}{2}) \\ =(2,-1) \end{gathered}[/tex]
The midpoint of the line segment is (2, -1), not (-1, 2). Hence the statement is false.
Final Answer: The given statement is false.
