Question

What is the midpoint of the segment shown below?

A(5,1)
B(5,1/2)
C(10,1)
D(10,1/2)

Answer 1

This is easy to calculate as the line is straight vertical. There are 7 units in between the two end points of the line segment, so dividing this by 2 will give you the units from an end point to the mid point. 7 ÷ 2 = 3.5. Subtracting 3.5 from the higher y-value or adding it to the lower y-value gets you (5, 0.5).

Answer 2

Answer: The correct option is (B)
`\left(5,(1)/(2)\right).`

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

From the figure, we see

a line segment with co-ordinates of the endpoints (5, 4) and (5, -3).

We know that

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

`M=\left((a+c)/(2),(b+d)/(2)\right).`

Therefore, the co-ordinates of the line segment shown is given by

`M=\left((a+c)/(2),(b+d)/(2)\right)=\left((5+5)/(2),(4-3)/(2)\right)=\left(5,(1)/(2)\right).`

Thus, (B) is the correct option.