wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Points of Concurrency Review

Total questions: 41

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
2.
If D is the orthocenter, what type of segments are drawn?
a)
meidans
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
3.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
4.
Given:  m<PXR=2a+10, If segment PX is the altitude find the value of "a".
a)
50
b)
17
c)
40
d)
35
5.
Solve for x.
a)
16
b)
20
c)
22
d)
24
6.
Given TO=7a+5 and OR=8a, find the value of "a" and the length of TR
a)
a=5, TR=40
b)
a=4, TR=70
c)
a=5, TR=80
d)
a=4, TR=81
7.
Find the measures of segments ZG and ZL.
a)
mZG=28 and mZL=112
b)
mZG=56 and mZL=84
c)
mZG=56 and mZL=112
d)
mZG=28 and mZL=84
8.

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

9.

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

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

10.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
11.

If S is the incenter, what type of segments are drawn?

a)

medians

b)

angle bisectors

c)

perpendicular bisectors

d)

altitudes

12.

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

a)

angle bisector

b)

midsegment

c)

median

d)

altitude

13.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

14.

What is point J called?

a)

centroid

b)

incenter

c)

circumcenter

d)

orthocenter

15.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
16.

The image show which point of concurrency

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

17.

Which of these divides a side of a triangle in two equal segments and always form right angles wherever it intersects.

a)

median

b)

perpendicular bisector

c)

angle bisector

d)

altitude

18.
Name the point of concurrency shown.
a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

19.
Name the point of concurrency shown.
a)

Circumcenter

b)

Incenter

c)

Orthocenter

d)

Centroid

20.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Midcenter
21.
If G is the centroid of triangle ABC and BF= 10. Find the length of FA.
a)
20
b)
10
c)
5
d)
25
22.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
23.

If H is the circumcenter and HC=4.5 what is the distance of the other red lines?

a)

5

b)

9

c)

4.5

d)

8

24.

Which of the following are special lines segments? (There may be more than one answer)

a)

medians

b)

midpoint

c)

perpendicular bisectors

d)

angle bisectors

e)

centroid

25.

Which of the following are points of concurrency? (There may be more than one answer)

a)

incenter

b)

vertex

c)

perpendicular bisectors

d)

circumcenter

e)

centroid

26.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
27.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
28.
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
29.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
30.
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
31.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
32.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
33.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
34.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
35.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
36.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
37.
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
38.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

39.

Is segment AB a median, altitude, neither or both?

a)

median

b)

altitude

c)

neither

d)

both

40.

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

a)

4

b)

8

c)

12

d)

16

41.

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the larger segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

Similar Resources on Wayground

Chapter Test

40 questions

Chapter Test

quiz

Worksheet

•

10th Grade

Geometry C1Q2 Review

36 questions

Geometry C1Q2 Review

quiz

Worksheet

•

8th - 12th Grade

GRADE 9 MATH QUIZ

41 questions

GRADE 9 MATH QUIZ

quiz

Worksheet

•

9th - 12th Grade

Topics on the Geometry Final

43 questions

Topics on the Geometry Final

quiz

Worksheet

•

10th Grade

Factoring Practice

37 questions

Factoring Practice

quiz

Worksheet

•

9th - 12th Grade

INTRODUCTION TO GRAPHS AND NETWORKS

46 questions

INTRODUCTION TO GRAPHS AND NETWORKS

quiz

Worksheet

•

10th - 12th Grade

Real Numbers

38 questions

Real Numbers

quiz

Worksheet

•

9th - 11th Grade