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points of concurrency-triangles

Total questions: 40

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
2.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
3.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
4.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
5.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
6.
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
7.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
8.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

9.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

10.

What type of special segments are being used?

a)

Altitudes

b)

Perpendicular Bisectors

c)

Medians

d)

Angle Bisectors

11.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

12.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

13.
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
14.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
15.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
16.
Which of these is called the center of gravity.
a)
orthocenter
b)
incenter
c)
circumcenter
d)
centroid
17.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
18.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
19.
The circumcenter is _________________ in the triangle.  
a)
always
b)
sometimes
c)
never
d)
definitely
20.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
21.

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Circumcenter

22.

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

a)

Centroid

b)

Incenter

c)

Altitude

23.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
24.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
25.

What does point O represent in the picture?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

26.

What does point D represent in the picture?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

27.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

28.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
29.
The centroid is located inside the triangle.
a)
Sometimes
b)
Always
c)
Never
30.
The circumcenter is located outside the triangle.
a)
Sometimes
b)
Always
c)
Never
31.
The incenter is located outside the triangle.
a)
Sometimes
b)
Always
c)
Never
32.
Find the length of segment AG.
a)
x=6
b)
x=3
c)
x=9
d)
x=18
33.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
34.

Find the length of PO.

a)

a.

b)

b.

c)

c.

d)

d.

35.

Given that point O is the circumcenter, find the length of SO to the nearest tenth.

a)

25.0

b)

23.2

c)

32

d)

29.7

36.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
37.

Point T is the incenter of the triangle. Find the length of RU to the nearest tenth.

a)

20.1

b)

12

c)

17.3

d)

18.4

38.
If the length from a vertex to the centroid is 24, then the length of the median is____.
a)
24
b)
36
c)
12
d)
8
39.
It divides each median into two sections at a 2:1 ratio.
a)
circumcenter
b)
centroid
c)
orthocenter
d)
incenter
40.
To construct a(n) ____________, you draw a segment from the vertex, which is perpendicular to the opposite side.
a)
Median
b)
Perpendicular Bisector
c)
Altitude
d)
Angle Bisector

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