Question

The coordinates of point T are (14,12). The midpoint of ST is (7,-9). Find the coordinates of point S.

A. (0, -30)
B. (0, 6)
C. (14, -30)
D. (14, 33)

Answer 1

To find the coordinates of point S, we can use the midpoint formula. The coordinates of point T are (14, 12) and the midpoint of ST is (7, -9). Using the midpoint formula, we can solve for the coordinates of point S, which are (0, -30).

Step-by-step explanation:

To find the coordinates of point S, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

In this case, the coordinates of point T are (14, 12) and the midpoint of ST is (7, -9). Let's plug these values into the formula:

Midpoint = ((x1 + 14) / 2, (y1 + 12) / 2) = (7, -9)

Simplifying the equation:

x1 + 14 = 14

x1 = 0

y1 + 12 = -18

y1 = -30

Therefore, the coordinates of point S are (0, -30), option A.