Question

Find the midpoint of the segment with the given endpoints ( 9, 7) and (2,7).*

a) (5.5, 0)
b) (3.5, 5)
c) (1, 2)
d) (0.5,3)

Answer 1

The midpoint of the segment with endpoints (9, 7) and (2, 7) is found by averaging the x-coordinates and y-coordinates, resulting in the midpoint (5.5, 7). None of the provided answer choices match this result.

Step-by-step explanation:

To find the midpoint of a segment with given endpoints, you simply take the average of the x-coordinates and the y-coordinates of the endpoints respectively. The endpoints given here are (9, 7) and (2, 7).

1. Calculate the average of the x-coordinates: (9 + 2) / 2 = 11 / 2 = 5.5.
2. Calculate the average of the y-coordinates: (7 + 7) / 2 = 14 / 2 = 7.
3. The midpoint is therefore (5.5, 7).

From the given options, none matches the calculated midpoint exactly. It's possible there might be a typo in the provided options or the question itself.