Performing and using constructions involving circles

The three angle bisectors of a triangle intersect at the?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Which point of concurrency is this?

• Circumcenter
• Orthocenter
• Incenter
• Centroid

P is the incenter. What is the length of BG?

• 8

• 16

• 17

• 34

The three angle bisectors of a triangle intersect at the ____________________.  

• centroid
• circumcenter
• incenter
• orthocenter

Name this center:

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Concurrency of Angle Bisectors

• The angle bisectors are not concurrent at a point equidistant from the sides.

• The perpendicular bisectors are concurrent at a point equidistant from the vertexes.

• The angle bisectors are concurrent at a point equidistant from the sides.

• The angle bisectors are concurrent at a point equidistant from the vertexes.

Find the length of TU

• 15
• 12
• 26
• 13

If m<CAP=34⁰ , find m<CAB.

• 17⁰
• 34⁰
• 68⁰
• 90⁰

Which construction will find the center of the circle shown?

• Center circle

• perpendicular line

• segment bisector

• Angle bisectors

What is the special property of an incenter?

• Equidistant from each vertex of the triangle.

• Equidistant from each side of the triangle.

• Balancing point!

• Nothing really...