Midsegments, Perpendicular Bisectors, Angle Bisectors, Circumcenter, and Center

A segment from a vertex of a triangle and the midpoint of the opposite side.

• Angle Bisector

• Perpendicular Bisector

• Altitude

• Median

A segment that bisects one of the angles of a triangle

• Angle Bisector

• Perpendicular Bisector

• Altitude

• Midsegment

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

• Circumcenter

• Orthocenter

• Centroid

• Midpoint

Tags

CCSS.HSG.CO.C.10

BD is a median of the triangle. Given DC=11, what is the length of AD?

• 11

• 22

• 5.5

• 3.67

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4

• 6

• 8

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

• 8

• 10

• 12

• 16

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

• 6

• 8

• 12

• 14

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

• 12

• 14

• 17

• 21

Tags

CCSS.HSG.CO.C.10

Which center points of a triangle are always inside the triangle?

• Centroid and Circumcenter

• Orthocenter and Incenter

• Incenter and Centroid

• Circumcenter and Incenter

Tags

CCSS.HSG.C.A.3

What is the point of concurrency?

• Orthocenter

• Centroid

• Circumcenter

• Incenter

Tags

CCSS.HSG.C.A.3