Points A (-3.8) and B (-1.6) are given. Find the distance from point B to point C

Points A (-3.8) and B (-1.6) are given. Find the distance from point B to point C, the coordinate of which is opposite to the coordinate of point A.

1. Given the coordinates of the points:

A (-3; 8);
B (-1; 6).
2. Find the coordinates of point C, opposite to the coordinates of point A:

C (3; -8).

3. Distance between points B and C:

B (-1; 6);
C (3; -8);
BC = √ ((3 + 1) ² + (-8 – 6) ²) = √ (4² + (-14) ²) = √ (16 + 196) = √212 = √ (4 * 53) = 2√ 53.
Answer: 2√53.