Question

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.

Midpoint: (-1, 18)
Endpoint: (-3, 19)
A) (-5, 20)
B) (-1, 17)
C) (1, 20)
D) (-3, 17)

Answer 1

The coordinates of the other endpoint are (-5, 20).

Step-by-step explanation:

To find the coordinates of the other endpoint of a segment, given its midpoint and one endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

Let's use the given information to find the coordinates of the other endpoint:

Midpoint: (-1, 18)

Endpoint: (-3, 19)

Using the midpoint formula, we can calculate the x-coordinate of the other endpoint:

x-coordinate = (x1 + x2) / 2 = (-3 + x2) / 2 = -1

Solving for x2, we get x2 = -5

Similarly, we can calculate the y-coordinate of the other endpoint:

y-coordinate = (y1 + y2) / 2 = (19 + y2) / 2 = 18

Solving for y2, we get y2 = 20

Therefore, the coordinates of the other endpoint are (-5, 20).