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.[br]You can move around any vertex of the triangle.[br]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:[br][u]Theorem 6.3: Circumcenter Theorem-[br][/u]The perpendicular bisectors of a triangle intersect at a point called the [i][b]circumcenter[/b][/i] 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.[br][img]data:image/png;base64,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[/img]
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.[br][img]data:image/png;base64,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[/img]
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Information: Circumcenter Theorem