Application of Special Segments and Points of Concurrency

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

• vertices

• sides

• angle bisector

• circumcenter

The image show which point of concurrency

• circumcenter

• centroid

• incenter

• orthocenter

Find the length of segment AG.

• x=6

• x=3

• x=9

• x=18

Find the length of AD

• 2

• 4

• 6

• 8

AD = 12. Find AG

• 6

• 8

• 18

• 12

Which of the following are points of concurrency?

(Select all that apply)

• incenter

• vertex

• perpendicular bisectors

• circumcenter

• centroid

Where is the circumcenter located in an obtuse triangle?

• inside the triangle

• outside the triangle

• on the right angle

• on the hypotenuse

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

• 20

• 10

• 5

• 25

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

• Centroid

• Incenter

• Circumcenter

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

• Centroid

• Incenter

• Altitude