Performing Constructions Involving Triangles

The circumcenter of a right triangle is the _____________ of the hypotenuse.

• midpoint

• endpoint

• vertex

• intersection

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

• Centroid

• Incenter

• Circumcenter

• Orthocenter

What type of special segments are being used?

• Altitudes

• Perpendicular Bisectors

• Medians

• Angle Bisectors

If AE is 5 and AG is 12, what is GE?

• 9.9

• 11

• 10.1

• 8

Determine which point of concurrency is most appropriate in each situation.

A flea market is situated on a triangular piece of land. Each entrance is located at one of the three vertices of the triangle. Joanie wants to set up her merchandise at a location that is equidistant from all three entrances.

• Circumcenter

• Incenter

• Centroid

• Orthocenter

If G is the circumcenter, what type of segments are show as dotted lines?

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

This center is the intersection of all PERPENDICULAR BISECTORS in a triangle.

• Centroid

• Orthocenter

• Incenter

• Circumcenter

Point M is the circumcenter of ΔGHI. What is MH?

• 32

• 34

• 36

• 23

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

• orthocenter

• centroid

• circumcenter

• incenter

What is the point of concurrency?

• Orthocenter

• Circumcenter

• Incenter

• Centroid