Question

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

Midpoint (−4,−10), Endpoint (4,−17).

a.(12,−3)
b. (−12,−3)
c. (−8,−23)
d. (8,−23)

Answer 1

To find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint, subtract the coordinates of the midpoint from the coordinates of the given endpoint.

Step-by-step explanation:

To find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment can be found by averaging the coordinates of the two endpoints. In this case, since we have the midpoint (-4, -10) and one endpoint (4, -17), we can find the other endpoint by subtracting the coordinates of the midpoint from the coordinates of the given endpoint:

x-coordinate of the other endpoint = x-coordinate of the given endpoint - x-coordinate of the midpoint = 4 - (-4) = 8

y-coordinate of the other endpoint = y-coordinate of the given endpoint - y-coordinate of the midpoint = -17 - (-10) = -7

Therefore, the coordinates of the other endpoint are (8, -7).