Points A, B, C are given. If A (2; 0) and C (2; 3) is the midpoint of the segment AB, then find the coordinates of point B.

We know the coordinates of points A (2; 0) and C (2; 3). It is also known that C is the midpoint of the segment AB. Let’s find the coordinates of point B.
To calculate the coordinates of the midpoint of a segment, we must find the sum of the coordinates of the beginning and end of the segment and divide by 2.
So, let us denote by (x; y) the coordinates of point B and solve two equations:
(2 + x) / 2 = 2;
2 + x = 4;
x = 2.
Second equation:
(0 + y) / 2 = 3;
y = 6.
Point B has coordinates (2; 6).
We can write down the answer.
Answer: point B has coordinates (2; 6).