Circumcenter Worksheet
Name: ________________________________ Date: ______________
1. a.
Plot the following points: (0, 7.9); (-8, -6); and (8, -6). b.
Use the points to construct three line segments and form a triangle. c.
Construct the perpendicular bisectors of the sides of the triangle to find the circumcenter of the triangle. d.
Draw a circle around the triangle. This is called circumscribing. If done correctly, the vertices of the triangle lie on the circle. e.
Draw a star at the circumcenter. f.
Is the triangle an equilateral triangle, a right triangle, or a scalene triangle?

2. a.
Plot the following points: (-6, 11); (9, 11); and (-6, -10). b.
Use the points to construct three line segments and form a triangle. c.
Construct the perpendicular bisectors of the sides of the triangle to find the circumcenter of the triangle. d.
Draw a circle around the triangle. This is called circumscribing. If done correctly, the vertices of the triangle lie on the circle. e.
Draw a star at the circumcenter. f.
Is the triangle an equilateral triangle, a right triangle, or a scalene triangle?

3. a.
Plot the following points: (-8, 4); (7, 16); and (-6, -8). b.
Use the points to construct three line segments and form a triangle. c.
Construct the perpendicular bisectors of the sides of the triangle to find the circumcenter of the triangle. d.
Draw a circle around the triangle. This is called circumscribing. If done correctly, the vertices of the triangle lie on the circle. e.
Draw a star at the circumcenter. f.
Is the triangle an equilateral triangle, a right triangle, or a scalene triangle?

4. Write a paragraph to compare and contrast the circumcenters of equilateral triangles, right triangles, and
scalene triangles.
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