Constructions

[Perpendicular Bisectors and Circumcenter]

If GC is 11, what is AG?

• 11

• 9

• cannot determine

• 5.5

Name the point of concurrency shown.

• circumcenter

• incenter

• centroid

• orthocenter

Fido wants to place his dog house equally spaced from a fire hydrant, his favorite tree, and the dirt mound where he buried his favorite bone, as displayed by the triangle shown at the right. In relation to this triangle, Fido should place his dog house at the _______.

• Circumcenter

• Incenter

• Centroid

• Orthocenter

If H is the circumcenter and HC=4.5 what is the distance of the other red lines?

• 5

• 9

• 4.5

• 8

What is the special property for circumcenters?

• The circumcenter is equally distant to the sides of the triangle.

• The circumcenter is equally distant to the midpoint of the sides of the triangle.

• The circumcenter is at the center of the triangle.

• The circumcenter is equally distant to the vertices.

When three perpendicular bisectors meet, they form a point called a _______.

An circumcenter is

• an intersection of angle bisectors

• an intersection of altitudes

• an intersection of perpendicular bisectors

• an intersection of medians

An orthocenter is

• an intersection of angle bisectors

• an intersection of altitudes

• an intersection of perpendicular bisectors

• an intersection of medians

What is the point of concurrency?

• Orthocenter

• Circumcenter

• Incenter

• Centroid

Answer explanation

Circumcenters are created by

• Altitudes

• Medians

• Angle Bisectors

• Perpendicular Bisectors