Question

Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true? Check all that apply.

Lauren could solve to find the x-coordinate.
Lauren could solve to find the y-coordinate.
Lauren could solve (4 + 0.5) – 0.5 to find the x-coordinate.
Lauren could solve (7.5 + 3) + 3 to find the y-coordinate.
Finding the midpoint is equivalent to partitioning a line segment in a 1:1 ratio.

Answer 1

True:
- Lauren could solve (-0.5 + 4) / 2 to find the x-coordinate. (x = 3.5/2 = 1.75)
- Lauren could solve (3 + 7.5) / 2 to find the y-coordinate. (y = 10.5/2 = 5.25)
- Finding the midpoint is equivalent to partitioning a line segment in a 1:1 ratio.

False:
- (4 + 0.5) − 0.5 = 4 (not the x-coordinate 1.75)
- (7.5 + 3) + 3 = 13.5 (not the y-coordinate 5.25)