Question

The midpoint of CD¯¯¯¯¯¯¯¯
is E (2, -1). One endpoint is C (-9,4). What are the coordinates of the other endpoint?(1 point)
Responses

(13, -6)
(13, -6)

(7, -2)
(7, -2)

(-3.5, 1.5)
(-3.5, 1.5)

(8, -3)

Answer 1

To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (E) is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

Let's assume the coordinates of the other endpoint are (x, y).

Since the midpoint is (2, -1), we can set up the following equations:

2 = (x + (-9))/2
-1 = (y + 4)/2

Solving these equations, we get:

x + (-9) = 2*2
x - 9 = 4
x = 4 + 9
x = 13

y + 4 = 2*(-1)
y + 4 = -2
y = -2 - 4
y = -6

Therefore, the coordinates of the other endpoint are (13, -6). Thus, the correct answer is:

(13, -6)