Question

The coordinates of point T are (0, 6). The midpoint of ST is (1, -7). Find the coordinates of point S. The other endpoint is:

A. (-1, -20)
B. (-2, -13)
C. (2, 13)
D. (1, 20)

Answer 1

To find the coordinates of point S, we use the midpoint formula with the given midpoint of ST and coordinates of point T, resulting in S having coordinates (2, -20).

Step-by-step explanation:

To find the coordinates of point S given the midpoint of ST and the coordinates of point T, we can use the midpoint formula. The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula M = ((x1+x2)/2, (y1+y2)/2). In this case, we have the midpoint M = (1, -7) and one endpoint T = (0, 6).

To find the coordinates of point S (x2, y2), we can set up two equations based on the midpoint formula:

1. (0 + x2)/2 = 1
2. (6 + y2)/2 = -7

Solving these equations gives us:

1. x2 = 2 * 1 - 0 = 2
2. y2 = 2 * (-7) - 6 = -20

Therefore, the coordinates of point S are (2, -20), which corresponds to option A. (-1, -20) in the question seems like a typographical error, and the correct option should have been (2, -20).