Centers of Triangles

The centroid is the point of concurrency of the 3 ____ of a triangle. 

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

Tags

CCSS.HSG.CO.C.10

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

• Midsegment
• Incenter
• Circumcenter
• Centriod

Tags

CCSS.HSG.C.A.3

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

Tags

CCSS.HSG.CO.C.10

G is the circumcenter. Find the value of x

• x=20

• x=14

• x=23

• x=46

Tags

CCSS.HSG.C.A.3

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

• 6
• 12
• 18
• Not Enough Information

Tags

CCSS.HSG.CO.C.10

ED is the midsegment of triangle ABC. Find BC

• 10.2
• 12.5
• 20.4
• 22.7

Tags

CCSS.HSG.SRT.B.4

[Median and Centroid]
If AP = 12, what is AL?

• 6
• 12
• 18
• 24

Tags

CCSS.HSG.CO.C.10

Find CF. Round to the nearest tenth.

(a)  

Tags

CCSS.HSG.CO.C.9

Given D is the centroid and ZD = 6 and AD = 18, find AO.

(a)  

Tags

CCSS.HSG.CO.C.10

L, M, and N are midpoints. If AB = 3x + 7 and NM = 3x - 15, find NM.

(a)  

Tags

CCSS.HSG.SRT.B.4