Finding Circumcenter

Use the Perp Bisector Theorem to find PQ

• 10

• 3

• -2

• 5

D is the circumcenter, find ED

• 15

• 16

• 17

• 19

D is the circumcenter, find EH

• 15

• 16

• 17

• 19

D is the circumcenter, find DG

• 15

• 16

• 17

• 19

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 

• when a circle passes through the three vertices of a triangle 

• the point of intersection of three or more lines 

• the intersection point of the three angle bisectors of a triangle 

What is the point of concurrency of the perpendicular bisectors of a triangle?

• Circumcenter

• incenter

• orthocenter

• centroid

Define: CIRCUMCENTER OF A TRIANGLE.

• the intersection point of the three perpendicular bisectors of a triangle

• when a circle passes through the three vertices of a triangle

• the point of intersection of three or more lines

• the intersection point of the three angle bisectors of a triangle

What point of concurrency is represented in the diagram?

• centroid

• circumcenter

• orthocenter

• centroid

Name this center:

• Circumcenter

• Incenter

• Centroid

• Orthocenter

In an acute triangle, the circumcenter is...

• inside the triangle

• outside the triangle

• the midpoint of the hypotenuse