Question

A segment has a midpoint at (2, -4) and an endpoint at (5, -9). What are the coordinates of the other endpoint?

a) (8, -14)
b) (0, -1)
c) (-1, 0)
d) (12, -19)

Answer 1

Using the midpoint formula, the coordinates of the other endpoint of the segment are found to be (-1, 1), which doesn't match any of the provided options.

Step-by-step explanation:

The question asks to find the coordinates of the other endpoint of a segment given the midpoint and one endpoint. To find the coordinates of the other endpoint, we can use the midpoint formula which is Midpoint = ((x1 + x2)/2, (y1 + y2)/2). Given the midpoint (2, -4) and one endpoint (5, -9), let's denote the coordinates of the other endpoint as (x, y).

We set up two equations based on the midpoint formula:

• 
  
• 
  

We can now solve for x and y to find the coordinates of the other endpoint:

• 
  
• 
  

Therefore, the coordinates of the other endpoint are (-1, 1), which is not listed among the provided options so there might be an error in the options or the question itself.