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Worksheets

Points of Concurrency

Total questions: 45

Worksheet time: 47mins

Name
Class
Date
1.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)

centroid

b)

incenter

c)

circumcenter

d)

orthocenter

2.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)

centroid

b)

incenter

c)

orthocenter

d)

altitude

3.

The green segment in the figure is an example of a(n) ...

a)

altitude 

b)

perpendicular bisector

c)

median

d)

angle bisector

4.

C is the centroid. If AB = 30, then AC = ?

a)

10

b)

15

c)

20

d)

5

5.
Where is the circumcenter located in an obtuse triangle?
a)

inside the triangle

b)

outside the triangle

c)

on the right angle

d)

on the hypotenuse

6.
Where is the orthocenter located in a right triangle?
a)

inside the triangle

b)

outside the triangle

c)

on the right angle

d)

on the hypotenuse

7.
Segment AD is ________.
a)
a perpendicular segment
b)
a median 
c)
an angle bisector
d)
an altitude
8.
Which point of concurrency is this?
a)
Circumcenter
b)
Orthocenter
c)
Incenter
d)
Centroid
9.
The three altitudes of a triangle intersect at the___________________.
a)
orthocenter
b)
incenter
c)
centroid
d)
circumcenter
10.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
11.

The green segment in the figure is an example of a(n) ...

a)

altitude 

b)

perpendicular bisector

c)

median

d)

angle bisector

12.

The image shows which point of concurrency?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

13.

If PQ = 6, find PY.

a)

4

b)

9

c)

12

d)

18

14.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
15.

What does point X represent in the picture?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

16.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
17.

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

18.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
19.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

20.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
21.

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

a)

4

b)

8

c)

12

d)

16

22.

The green segment in the figure is an example of a(n) ...

a)

altitude 

b)

perpendicular bisector

c)

median

d)

angle bisector

23.

What does point O represent in the picture?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

24.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
25.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
26.
AD = 12. Find AG
a)
6
b)
8
c)
18
d)
12
27.

The green segment in the figure is an example of a(n) ...

a)

altitude 

b)

perpendicular bisector

c)

median

d)

angle bisector

28.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
29.

What is this point of concurrency?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

30.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Centroid

d)

Incenter

31.

What is this point of concurrency?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

32.
Name the point of concurrency shown.
a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

33.

What is this point of concurrency?

a)

Incenter

b)

Centroid

c)

Orthocenter

d)

Circumcenter

34.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

35.

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

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

36.

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

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

37.

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

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

38.

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

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

39.

Which point of concurrency is equidistant from the three sides of a triangle?

a)

Incenter

b)

Centroid

c)

Circumcenter

d)

Orthocenter

40.

Which point of concurrency is equidistant from the three vertices of a triangle?

a)

Circumcenter

b)

Centroid

c)

Orthocenter

d)

Incenter

41.

Which point of concurrency is the center of gravity for a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

42.

The medians of a triangle are concurrent. Their common point is the__________.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

43.

The angle bisectors of a triangle are concurrent. Their common point is the_______.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

44.

The perpendicular bisectors of a triangle are concurrent. Their common point is the_________.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

45.

The altitudes of a triangle are concurrent. Their common point is the______.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

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