Finding Circumcenter

In a triangle, if the perpendicular bisectors are concurrent, what is the name of the point of concurrency?

• centroid

• orthocenter

• circumcenter

• incenter

Tags

CCSS.HSG.C.A.3

What are the coordinates of the circumcenter of △ABC?

Tags

CCSS.HSG.C.A.3

How can you use perpendicular bisectors to find the circumcenter of a triangle?

• By finding the point of intersection of the perpendicular bisectors of the sides of the triangle.

• By finding the midpoint of the sides of the triangle

• By finding the point of intersection of the medians of the triangle

• By finding the point of intersection of the altitudes of the triangle

Tags

CCSS.HSG.C.A.3

What conditions would be enough to prove that P is the circumcenter of △HJK? Select all that apply.

• △HJK is an acute triangle

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

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

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

The circumcenter is the point at which all the ______ of a triangle meet.

• perpendicular bisectors

• angle bisectors

• medians

• altitudes

Tags

CCSS.HSG.C.A.3

How many perpendicular bisectors does a triangle have?

• 4

• 2

• 3

• 5

Tags

CCSS.4.G.A.1

Points D, E, and F are the midpoints of the sides of △ABC. Which point is the center of a circle that contains A, B, and C?

• T

• D

• P

• F

Tags

CCSS.HSG.C.A.3

If XY = 24, XZ = 22, and JQ = 5, find the value of the circumscribed circle of △XYZ. [Round to the nearest tenth if necessary]

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.3