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Special Segments in Triangles

Total questions: 35

Worksheet time: 4hrs 53mins

Name
Class
Date
1.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
2.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
3.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
4.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
5.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

6.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)

median

7.

Identify the type of segment pictured below.

a)

Median

b)

Midsegment

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

8.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

9.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

10.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
11.

AD and DC are congruent sides

What is the length of DC

a)
4
b)
1
c)
2
d)
3
12.
Solve for x.
a)
16
b)
20
c)
22
d)
24
13.

Challenge!!

Find the value of y.

(Use decimals if needed)

Be prepared to justify your answer.

a)
19
b)
7
c)
6.5
d)

14.5

14.

What is the only special triangle segment that does not have to go through a vertex?

a)

Median

b)

Altitude

c)

Angle Bisector

d)

Perpendicular Bisector

15.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
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. 
16.
A ray that divides an angle into two congruent angles.
a)
Segment Bisector
b)
Midpoint
c)
Angle Bisector
d)
Sunshine
17.
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. 
18.
Which of the following describes a median 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. 
19.
What is true about a perpendicular bisector?
a)
Cuts the side of a triangle into 2 congruent parts.
b)
It is perpendicular to the side of a triangle.
c)
It passes through the midpoint of the side of the triangle.
d)
All of the above
20.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
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. 
21.

In which type of triangle is it possible for a special segment to be OUTSIDE of the triangle?

a)

Acute Triangles

b)

Right Triangles

c)

Obtuse Triangles

d)

This never happens.

22.

In Obtuse Triangles, which special segment can be outside of the triangle?

a)

Midsegments

b)

Medians

c)

Altitudes

d)

Perpendicular Bisectors

23.

If AG = 4x - 21 and RE = x + 3, 
what is NG?

a)

6

b)

8

c)

9

d)

18

24.

PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

25.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
sangle bisector
26.
Name the parallel segment.
a)
JH
b)
PN
c)
MP
d)
MN
27.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
28.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
29.
What is the value of x?
a)
10
b)
No Solution
c)
5
d)
2
30.
What is the value of y?
a)
3
b)
-3
c)
No Solution
d)
5
31.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
32.

RC and ET are medians. Find x if TS = 2x - 2 and CS = 2x - 4

a)

10.3

b)

9

c)

3

d)

12

33.
What is the value of x?
a)
23
b)
18
c)
29
d)
45
34.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
35.
Find SV
a)
18
b)
36
c)
21
d)
9

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