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Question

The midpoint of CD¯¯¯¯¯
is E(−1,0)
. One endpoint is C(5,2)
. What are the coordinates of the other endpoint?

Answer 1

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

The midpoint formula is given by:

Midpoint = ( (x_1 + x_2) / 2, (y_1 + y_2) / 2 )

We are given the coordinates of E (-1, 0) and C (5, 2), and we need to find the coordinates of the other endpoint D.

Let's denote the coordinates of D as (x, y).

Using the midpoint formula, we can write the following equations:

x = (5 + x) / 2
y = (2 + y) / 2

Simplifying the equations, we get:

2x - x = 10 - 2x
2y - y = 4 - 2y

Simplifying further, we get:

x = 10 - 2x
y = 4 - 2y

Rearranging the equations, we get:

3x = 10
3y = 4

Solving for x and y, we find:

x = 10 / 3
y = 4 / 3

Therefore, the coordinates of the other endpoint D are (10/3, 4/3).