Question

Find the coordinates of the midpoint M of ST. Then find the distance between points S and T.

a. Midpoint: (6.5, -2.5), Distance: 2.5 units
b. Midpoint: (6, -2.5), Distance: 1 unit
c. Midpoint: (7, -2.5), Distance: 2 units
d. Midpoint: (6.5, -3), Distance: 1.5 units

Answer 1

The coordinates of the midpoint M of ST are (6.5, -2.5) and the distance between points S and T is 1 unit.

Step-by-step explanation:

To find the coordinates of the midpoint M of ST, we need to average the x-coordinates and the y-coordinates of S and T separately.

In this case, the average of the x-coordinates is (6 + 7) / 2 = 6.5, and the average of the y-coordinates is (-2.5 + -2.5) / 2 = -2.5.

Therefore, the coordinates of the midpoint M are (6.5, -2.5).

To find the distance between points S and T, we can use the distance formula.

The distance formula is D = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the distance between points S(6, -2.5) and T(7, -2.5) is D = sqrt((7 - 6)^2 + (-2.5 - (-2.5))^2) = sqrt(1 + 0) = 1 unit.