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Segments and Centers of Triangles

Total questions: 45

Worksheet time: 36mins

Name
Class
Date
1.

What is the point of concurrency that bisects two angles of a triangle?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

2.

Segment from the vertex that is perpendicular to the opposite side?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

3.

Perpendicular bisector of two sides of a triangle

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Altitude

4.

Match the following

a)

Circumcenter

1.

Perpendicular Bisector

b)

Incenter

2.

Angle Bisector

c)

Orthocenter

3.

Altitude

d)

Centroid

4.

Median

5.

What is the point of concurrency of the Medians of two sides of a Triangle

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

6.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point of the three perpendicular bisectors of a triangle 
b)
when a circle passes through the three vertices of a triangle 
c)
the point of intersection of three or more lines 
d)
the intersection point of the three angle bisectors of a triangle 
7.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle 
b)
when three or more lines intersect at a single point 
c)
the intersection point of the three perpendicular bisectors of a triangle 
d)
the point of intersection of three or more lines 
8.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)

Altitude

d)

Centroid

9.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)

Orthocenter

d)

Centroid

10.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
11.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
12.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
13.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

14.

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

a)

8.95

b)

9.35

c)

10.25

d)

12.65

15.
3 or more lines that intersect at the same point
a)
Concurrent Lines
b)
Congruent Lines
c)
Perpendicular Lines
d)
Parallel Lines
16.
If m∠CAP = 34° , find ∠CAB.
a)
17°
b)
34°
c)
68°
d)
90°
17.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

18.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

19.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

20.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

21.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

22.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

23.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

24.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

25.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

26.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

27.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

28.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

29.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

30.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

31.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

32.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

33.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

34.

The circumcenter and orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

35.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

36.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

37.
If TP=27, ZP=?
a)
18
b)
9
c)
13.5
d)
54
38.
1.  Point Z is the circumcenter of ΔRST. What is TZ?
a)
3
b)
5
c)
4
d)
6
39.
Name the point of concurrency shown.
a)
Circumcenter
b)
Supercenter
40.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
41.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Altitude-point
42.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
43.
[Medians and Centroid]
If AC = 16, what is AM?
a)
4
b)
8
c)
6
d)
10
44.
[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?
a)
20
b)
10
c)
5
d)
15
45.
[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?
a)
6
b)
10
c)
16
d)
12

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