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Points of Concurrency Recap

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.

What is this point of concurrency?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

2.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Centroid

d)

Incenter

3.

What is this point of concurrency?

a)

Incenter

b)

Centroid

c)

Orthocenter

d)

Circumcenter

4.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

5.

What point of concurrency is the intersection of the medians of a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

6.

What point of concurrency is the intersection of the altitudes of a triangle?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

7.

Which point of concurrency is the intersection of the angle bisectors of a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

8.

Which point of concurrency is the intersection of the perpendicular bisectors of the triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

9.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
10.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

11.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
12.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
13.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
14.

The incenter (P.O.C. of angle bisectors) of a triangle is equidistant from the _________ of the triangle.

a)

midsegment

b)

center

c)

vertices

d)

sides

15.

The circumcenter (P.O.C. of perpendicular bisectors) of a triangle is equidistant from the _______ of the triangle.

a)

vertices

b)

sides

c)

center

d)

medsegment

16.

The three altitudes of a triangle intersect at the___________________.

a)

orthocenter

b)

median

c)

centroid

d)

circumcenter

17.
The incenter is located outside the triangle.
a)
Sometimes
b)
Always
c)
Never
18.
The circumcenter is located outside the triangle.
a)
Sometimes
b)
Always
c)
Never
19.
The centroid is located inside the triangle.
a)
Sometimes
b)
Always
c)
Never
20.

It is equidistant from the three vertices of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

21.

It is equidistant from the three sides of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

22.

It divides each median into two sections at a 2:1 ratio.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

23.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

24.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

25.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

26.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

27.

Which point of concurrency is always inside the triangle?

a)

Centroid and Circumcenter

b)

Orthocenter and Incenter

c)

Incenter and Centroid

d)

Circumcenter and Incenter

28.

Which point of concurrency is always the midpoint of the hypotenuse in a right triangle?

a)

Circumcenter

b)

Orthocenter

c)

Centroid

d)

Incenter

29.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
30.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter

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