Question

What is the midpoint of the segment shown below?

Answer 1

option C is the correct one

Answer 2

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.