Centers of Triangles

This center is the intersection of all MEDIANS in a triangle.

• Centroid

• Orthocenter

• Incenter

• Circumcenter

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

• Centroid

• Orthocenter

• Incenter

• Circumcenter

This center is the intersection of all ALTITUDES in a triangle.

• Centroid

• Orthocenter

• Incenter

• Circumcenter

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

• Centroid

• Orthocenter

• Incenter

• Circumcenter

In an obtuse triangle, the orthocenter is.....

• outside the triangle

• inside the triangle

• on the right angle

In an acute triangle, the circumcenter is...

• inside the triangle

• outside the triangle

• the midpoint of the hypotenuse

The only two points of concurrency that can be outside of a triangle are...

• orthocenter and circumcenter

• orthocenter and incenter

• centroid and incenter

• incenter and circumcenter

In triangle ABC, BG, CE, and AF are medians that meet at D. If AD = 12, what is DF?

• 6

• 24

• 18

• 3

In triangle ABC, BG, CE, and AF are medians that meet at D. If CG = 8, CF = 12, and AB = 25, what is the perimeter of ABC

• 65

• 45

• 40

• 35

In triangle ABC, BG, CE, and AF are medians that meet at D. If AD = 2x + 6 and DF = 3x - 5, what is the value of x?

• 4

• 7

• 12

• 19