Circumcenter Theorem
This is a worksheet to demonstrate the properties of the Circumcenter.
Question 1:
What color are the angle bisectors?
Question 2:
Define the word "circumcenter."
Moving the Vertices
Move the vertices of the triangles by clicking on the point and moving it around.
You can move around any vertex of the triangle.
Pay attention to the length of the orange segments (these are the lines connecting the circumcenter to the vertices).
Question 3:
What do you notice about the distance between the circumcenter and each vertex of the triangle? (hint: look at the orange lines)
Question 4:
Complete the statement: Theorem 6.3: Circumcenter Theorem- The perpendicular bisectors of a triangle intersect at a point called the circumcenter that is ___________________________ from the vertices of the triangle.
Question 5:
Find BF if D is the circumcenter of triangle ABC, AC = 9, DE = 1.83, and DF = 1.53.
Question 6:
Find SV if S is the circumcenter of triangle QPR, QR = 7.79, and PS = 4.25. If necessary, round your answer to the nearest tenth.
