Point A (0; 3) B (2; 0). Point B is the middle of the segment AC. Find point C.
| September 11, 2021 | education
Let us denote the coordinates of the point C through (x; y).
Using the formulas for finding the coordinates of the midpoint of the segment, we compose and solve the equations:
2 = (0 + x) / 2,
2 = x / 2,
x = 2 * 2,
x = 4.
0 = (3 + y) / 2,
3 + y = 0 * 2,
3 + y = 0,
y = 0 – 3,
y = -3.
Hence, point C has coordinates (4; -3).
Answer: C (4; -3).
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