Question

What is the midpoint of the segment shown below?

Answer 1

Answer:  The correct option is

(C) $\left(3,\dfrac{5}{2}\right).$

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

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

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

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

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

Option (C) is CORRECT.

Answer 2

Option C is the correct one