What is the midpoint of the segment shown below?

Question

asked Apr 15, 2019 117k views

2 Answers

Gulsum · Answer 1 · 2019-04-19T21:45:55+0000

Answer: The correct option is

(C)
$\left(3,(5)/(2)\right).$

Step-by-step explanation: We are given to find the midpoint of the line segment shown in the figure.

From the graph, we can see that

the co-ordinates of the endpoints of the line segment are (-1, 2) and (7, 3).

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

$\left((a+c)/(2),(b+d)/(2)\right).$

Therefore, the co-ordinates of the midpoint of the given line segment will be

$\left((-1+7)/(2),(2+3)/(2)\right)=\left((6)/(2),(5)/(2)\right)=\left(3,(5)/(2)\right).$

Thus, the required midpoint of the given line segment is
$\left(3,(5)/(2)\right).$

Option (C) is CORRECT.