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)
1 (13, -6)
2 (7, -2)
3 (-3.5, 1.5)
4 (8, -3)

Answer 1

To find the coordinates of the other endpoint, we can use the midpoint formula.

The midpoint formula is given by:

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

We are given that the midpoint E is (2, -1) and one endpoint is C (-9, 4).

Let the coordinates of the other endpoint be (x, y).

Using the midpoint formula, we can set up the following equations:

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

Simplifying the equations:

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

Solving for x and y:

x - 9 = 4 , y + 4 = -2

x = 13, y = -6

Therefore, the coordinates of the other endpoint are (13,-6).

Answer: 1 (13, -6)