Mid point is M(8,9), One endpoint is C(8,10). Find the other endpoint D
To find the coordinates of the other endpoint D, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are given by the average of the coordinates of its endpoints. In this case, we have the midpoint M(8,9) and one endpoint C(8,10).
Let's denote the coordinates of the other endpoint D as (x, y). We can use the midpoint formula to find the values of x and y.
The midpoint formula is given by:
(xₘ, yₘ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Plugging in the known values:
(8, 9) = ((8 + x)/2, (10 + y)/2)
To find the x-coordinate of D, we solve the equation:
8 + x = 2 * 8
8 + x = 16
x = 16 - 8
x = 8
To find the y-coordinate of D, we solve the equation:
10 + y = 2 * 9
10 + y = 18
y = 18 - 10
y = 8
Therefore, the coordinates of the other endpoint D are D(8,8).