Circumcenter Worksheet with Answer Key

What's on the worksheet

1. O A B C 39 3x + 33 5y − 1 In the figure, the dashed lines are the perpendicular bisectors of the sides of ABC, and they meet at O.
2. 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 E F G Right triangle EFG is drawn on the grid, with its right angle at F.
3. The circumscribed circle of ABC has its center at O(1, 2), and one vertex is A(4, 6).
4. Triangle ABC has vertices A(-1, 1), B(7, 1) and C(5, 7).
5. Kofi needs the circumcenter of the triangle with vertices A(-2, -2), B(6, -2) and C(5, 5).
6. The circumcenter of ABC is O(3, 1), with A(0, 5) and B(7, 4).
7. Mei says she has drawn two different circles that both pass through the same three points P, Q and R.
8. M is the midpoint of AB.