Constructions

If m∠CAP = 34° , find m∠CAB.

• 17°
• 34°
• 68°
• 90°

What is the point of concurrency that bisects three angles of a triangle?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

P is the incenter of triangle JKL. Find NP.

• 8

• 13

• 17

• 4

Point C is an incenter. Solve for x.

Type answer as x = __

Mathematical Equivalence

OFF

What point of concurrency is constructed here?

• Incenter

• Orthocenter

• Circumcenter

• Centroid

The place where all three angle bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

SCULPTURE A triangular entrance way has walls with corner angles of 50°, 70°, and 60°. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?

• Find the circumcenter, where the three perpendicular bisectors meet.

• Find the incenter, where the three angle bisectors meet.

• Draw the perpendicular bisector of the longest side.

• Draw the angle bisector of the greatest angle.

Which point of concurrency is always inside the triangle?

• Centroid and Circumcenter

• Orthocenter and Incenter

• Incenter and Centroid

• Circumcenter and Incenter

[Angle Bisectors and Incenter]
If m<BCA is 72, what is m<PCA?

• 72
• 48
• 60
• 36

The incenter is the point at which all the ____ of a triangle meet.

• perpendicular bisectors

• medians

• altitudes

• angle bisectors