Question

Given an endpoint of (5,6) and a midpoint of (8, 1), find the missing endpoint.

Answer 1

To find the missing endpoint, use the midpoint formula and solve for the missing coordinates.

Step-by-step explanation:

To find the missing endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1 + y2)/2).

In this case, one of the endpoints is given as (5,6) and the midpoint is (8,1). Let's call the coordinates of the missing endpoint as (x, y).

Using the midpoint formula:

((5 + x)/2, (6 + y)/2) = (8, 1)

Solving for x and y, we get:

(5 + x)/2 = 8

5 + x = 16

x = 16 - 5

x = 11

And:

(6 + y)/2 = 1

6 + y = 2

y = 2 - 6

y = -4

Therefore, the missing endpoint is (11, -4).