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Geometry Bisectors of Triangles

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

2.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
3.

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centroid

4.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
5.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

6.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
7.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
8.
This triangle has...
a)
Altitudes
b)
Perpendicular Bisectors 
c)
Midsegments
d)
Medians
9.

Based on the markings, which segment represents a perpendicular bisector?

a)

Segment BA

b)

Segment CF

c)

Segment DE

d)

segment BG

10.
Which of the following describes a perpendicular bisector of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
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. 
11.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

12.

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

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

13.

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

a)

obtuse

b)

acute

c)

iscolese

d)

right

14.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

15.

If AF = 10x-3, and FC = 8x+3, what is AC?

a)

3

b)

6

c)

27

d)

54

16.

If BC is 18, what is DC?

a)

6

b)

9

c)

12

d)

18

17.

[Perpendicular Bisectors and Circumcenter]

If GC is 11, what is AG?

a)

11

b)

9

c)

cannot determine

d)

5.5

18.

[Perpendicular Bisectors and Circumcenter]

If CG = 4x+3 and AG = 3x+4, what is BG?

a)

14

b)

3

c)

7

d)

3.5

19.
[Perpendicular Bisectors and Circumcenter]
If AE is 5 and AG is 12, what is GE?
a)
9.9
b)
11
c)
10.1
d)
8
20.
A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.
a)
Perpendicular bisector
b)
Angle bisector
c)
Median
d)
Altitude