Question

The midpoint of the line segment is (-1, 2).True or False

Answer 1

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

`((a+c)/(2),(b+d)/(2))`

Here, a = 2, b =-4, c = 2 and d = 2. Then

`\begin{gathered} m=((2+2)/(2),(-4+2)/(2)) \\ =((4)/(2),-(2)/(2)) \\ =(2,-1) \end{gathered}`

The midpoint of the line segment is (2, -1), not (-1, 2). Hence the statement is false.

Final Answer: The given statement is false.