Question

Write the midpoint of the segment as an order pair.

Answer 1

1. (3, 5)

2. (1/2, 4)

Explanation:

To find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

1. (1, 2) and (5, 8)

x-coordinate of midpoint = (1 + 5)/2 = 6/2 = 3

y-coordinate of midpoint = (2 + 8)/2 = 10/2 = 5

Midpoint: (3, 5)

2. (0, 1) and (1, 7)

x-coordinate of midpoint = (0 + 1)/2 = 1/2

y-coordinate of midpoint = (1 + 7)/2 = 8/2 = 4

Midpoint: (1/2, 4)

Answer 2

The midpoints of the segments as an ordered pair are (3, 5) and (0.5, 4)

Writing the midpoint of the segment as an ordered pair.

From the question, we have the following parameters that can be used in our computation:

The line segments

Where, we have

(1, 2) and (5, 8)

(0, 1) and (1, 7)

The midpoint of the segment as an ordered pair is calculated as

Midpoint = 1/2(Sum of x coordinates, Sum of y coordinates)

So, we have

Midpoint = 1/2 * (1 + 5, 2 + 8)

Midpoint = 1/2 * (0 + 1, 1 + 7)

Evaluate

Midpoint = (3, 5)

Midpoint = (0.5, 4)

Hence, the midpoints of the segments as an ordered pair are (3, 5) and (0.5, 4)