Find the distance between points A and B, if A is the midpoint of the segment with ends at points C (-2) and D (4)

Find the distance between points A and B, if A is the midpoint of the segment with ends at points C (-2) and D (4), and B is the midpoint of the segment with ends at points M (-3) and N (-5).

1) Find the coordinate of the midpoint of the segment CD:
C (-2), D (4);
(-2 + 4) / 2 = 2/2 = 1;
A (1).

2) Define the midpoint of the segment MN:
M (- 3), N (-5);
(-3 + (- 5)) / 2 = – 8/2 = 4;
B (4).

3) We know the coordinates of points A and B. We can find the length AB:
A (1), B (4).
| AB | = √ (4 – 1) ² = 3.

Answer: The distance between points A and B is 3 unit segments.