Performing and using constructions involving circles

Which statement is true, based on the construction marks shown in the diagram?

• ray AF bisects segment BC
• ray AF bisects ∠BAC
• AF ⊥ BC
• ∆ABG ≅∆ACG

Find the length of TU

• 15
• 12
• 26
• 13

This center has medians that are proportional

• circumcenter

• centroid

• incenter

• orthocenter

P is the incenter. Which segment lengths are equal?

• KP

• MP

• PN

• PJ

• PL

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

• orthocenter
• centroid
• circumcenter
• incenter

[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?

• 20
• 10
• 5
• 15

The incenter of a triangle is equidistant from the __________ of a triangle.

• vertices
• sides
• angle bisector
• circumcenter

What is this point of concurrency?

• Centroid

• Circumcenter

• Orthocenter

• Incenter

What is the special property for incenters?

• The distance from the incenter to the sides will all be the same.

• The incenter is always outside the triangle.

Which point of concurrency is equidistant from the three sides of a triangle?

• Incenter

• Centroid

• Circumcenter

• Orthocenter