Triangle Centers

G is the incenter. Find m∠ABG. If your answer is a decimal, round to the nearest tenth.

Tags

CCSS.HSG.C.A.3

H is the circumcenter. Find CD. If your answer is a decimal, round to the nearest tenth.

Tags

CCSS.HSG.C.A.3

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

• 6
• 10
• 16
• 12

Tags

CCSS.HSG.C.A.3

HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.

• 50
• 16
• 21
• not enough information

Tags

CCSS.HSG.C.A.3

What type of point of concurrency is pictured?

• Circumcenter

• Incenter

• Orthocenter

• Centroid

Tags

CCSS.HSG.C.A.3

Given:  AG = 10, find the length of BG.

• 10
• 20
• 5
• 30

Tags

CCSS.HSG.C.A.3

1.  Point Z is the circumcenter of ΔRST. What is TZ?

• 3
• 5
• 4
• 6

Tags

CCSS.HSG.C.A.3

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

If AF = 10x-3, and FC = 8x+3, what is AC?

• 3

• 6

• 27

• 54

Tags

CCSS.HSG.CO.C.10

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

• 8.95

• 9.35

• 10.25

• 12.65

Tags

CCSS.HSG.C.A.3