Circumcenter Worksheet
Name: ________________________________
Date: ______________
1.
a.
b.
c.
d.
Plot the following points: (0, 7.9); (-8, -6); and (8, -6).
Use the points to construct three line segments and form a triangle.
Construct the perpendicular bisectors of the sides of the triangle to find the circumcenter of the triangle.
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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