Find the other endpoint of the line segment with the given endpoint and mid point.

1. Endpoint:(-1, 9), midpoint: (-9, -10)

2. Endpoint: (2, 5), midpoint: (5, 1)

3. Endpoint:(9, -10), midpoint: (4, 8)

Critical Thinking

4. Find the point that is one-fourth of the way from (2, 4) to (10, 8).

Question

Find the other endpoint of the line segment with the given endpoint and mid point. 

 1. Endpoint:(-1, 9), midpoint: (-9, -10) 

  

2. Endpoint: (2, 5), midpoint: (5, 1) 

  

3. Endpoint:(9, -10), midpoint: (4, 8) 

  

Critical Thinking 

4.  Find the point that is one-fourth of the way from (2, 4) to (10, 8).

accessdenied · Answer

The midpoint formula is
$$M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2});~given~endpoints~(x_1,y_1) ~and~(x_2,y_2) $$

We don't know one of the endpoints, but we do know what the x and y values will be when we use this formula, so we can solve for each endpoint.