Question

Find the other end point
Endpoint (5,-1) Midpoint (5,10)

Answer 1

The other endpoint would be (5,21).

First find the distance from the endpoint you the mid point. Because the endpoint and midpoint lie on the same x value but different y value you would add the absolute values of the two y values because they are in different quadrants. The distance from the end point and mid point is 11 units.

Because a midpoint halves two endpoints you would just add the distance to itself again to the midpoint. (5, 10+11) which will then give you (5, 21).

Answer 2

(5, 21)

Explanation:

The x-coordinate of the midpoint of a segment is half of the sum of the x-coordinates of the endpoints.

The y-coordinate of the midpoint of a segment is half of the sum of the y-coordinates of the endpoints.

Let the unknown point have coordinates (x, y).

x-coordinate:

(5 + x)/2 = 5

5 + x = 10

x = 5

y-coordinate:

(-1 + y)/2 = 10

-1 + y = 20

y = 21

The other endpoint has coordinates (5, 21).