Chapter 9 Geometry

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

• 11

• 22

• 5.5

• 3.67

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 

• when a circle passes through the three vertices of a triangle 

• the point of intersection of three or more lines 

• the intersection point of the three angle bisectors of a triangle 

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 

• when three or more lines intersect at a single point 

• the intersection point of the three perpendicular bisectors of a triangle 

• the point of intersection of three or more lines 

P is the incenter of triangle JKL. Find OP.

• 8

• 13

• 17

• 4

The Circumcenter will be on the inside of a triangle if the triangle is...

• Acute

• Obtuse

• Right

• Scalene

The centroid is the point at which all the ______ of a triangle meet.

• Medians

• Midsegments

• Perpendicular Bisectors

• Angle Bisectos

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

• 6

• 12

• 18

• Not Enough Information

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

• 8

• 16

• 24

• Not Enough Information

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third

• two thirds

• three fourths

• one half

Which point is equidistant from the vertices?

• Circumcenter

• Incenter

• Neither

• Bilateral