note: Enter your answer and show all the steps that you use to solve this problem in the space provided.The midpoint of CD%C2%AF%C2%AF%C2%AF%C2%AF%C2%AF is E(%E2%88%921,0) . One endpoint is C(5,2) . What are the coordinates of the other endpoint?
To find the coordinates of the other endpoint, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint between two endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Given that the midpoint is E(-1, 0) and one endpoint is C(5, 2), we can substitute these coordinates into the midpoint formula to find the coordinates of the other endpoint.
Let's call the coordinates of the other endpoint (x, y).
((-1 + x)/2, (0 + y)/2) = (5, 2)
Simplifying the equation, we get:
(-1 + x)/2 = 5 and (0 + y)/2 = 2
Solving for x:
-1 + x = 10
x = 10 + 1
x = 11
Solving for y:
0 + y = 4
y = 4
Therefore, the coordinates of the other endpoint are (11, 4).