Find Circumcenter of the Triangle with Vertices

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

• Centroid

• Incenter

• Circumcenter

• Orthocenter

Tags

CCSS.HSG.C.A.3

The circumcenter of a triangle is equidistant from the _______ of the triangle.

• vertices

• sides

• center

• midsegment

Tags

CCSS.HSG.C.A.3

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

What is the intersection of three perpendicular bisectors called?

• Circumcenter

• Incenter

• Supercenter

• Neither

Tags

CCSS.HSG.C.A.3

The Smith Construction Company has been hired to install a new water fountain at Winstonian Park. They would like to find the best location for the fountain so that the walking distance from each of the three main pieces of playground equipment is the same. How would they determine this point?

• Incenter

• Circumcenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

The place where all three perpendicular bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

Which construction would be most helpful to begin his construction if Micah wants to find a point that is equidistant from the three vertices of a triangle?

• Construction A

• Construction B

• Construction C

• Construction D

Tags

CCSS.HSG.C.A.3

Where is the circumcenter?

Tags

CCSS.HSG.C.A.3

Which of the following is true for the circumcenter of a triangle?

• It may lie inside, on, or outside the triangle

• It is always inside the triangle

• It is always on one of the triangle's sides

• It is always outside the triangle

Tags

CCSS.HSG.C.A.3

Which property is true for the circumcenter of a triangle?

• It is always inside the triangle

• It is equidistant from all three vertices of the triangle

• It divides each median into a 2:1 ratio

• It is the center of the inscribed circle

Tags

CCSS.HSG.C.A.3