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Ch. 5 special segments in triangles vocabulary

Total questions: 44

Worksheet time: 3hrs 15mins

Name
Class
Date
1.
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
2.
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
3.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
4.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
5.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
6.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
7.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

8.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)

median

9.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

10.

Identify the type of segment pictured below.

a)

Median

b)

Midsegment

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

11.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

12.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

13.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
14.

AD and DC are congruent sides

What is the length of DC

a)
4
b)
1
c)
2
d)
3
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.
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. 
20.

What does an angle bisector do?

a)

Makes two 90 degree angles

b)

splits a 90 degree angle in half

c)

splits an angle in half

d)

splits 2 sides in half

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.
If AG = 2x + 21 and RE = x + 10.5, 
what is NG?
a)
16
b)
8
c)
26.5
d)
10.5
23.

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

a)

7

b)

14

c)

10.5

d)

28

24.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
25.
Based on the markings, segment AB represents the...
a)
perpendicular bisector
b)
angle bisector
c)
median
d)
altitude
26.
Based on the markings, segment BG represents the...
a)
angle bisector
b)
median
c)
altitude
d)
perpendicular bisector
27.
Based on the markings, segment DE represents the...
a)
perpendicular bisector
b)
altitude 
c)
angle bisector
d)
meidan
28.
Based on the markings, segment CF represents the...
a)
altitude
b)
meidan
c)
perpendicular bisector
d)
angle bisector
29.
Given:  m<PXR=2a+10, If segment PX is the altitude find the value of "a".
a)
50
b)
17
c)
40
d)
35
30.

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

a)

Centroid

b)

Incenter

c)

Circumcenter

31.

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

a)

Centroid

b)

Incenter

c)

Altitude

32.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
33.

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

a)

medians

b)

angle bisectors

c)

perpendicular bisectors

34.

What is point J called?

a)

centroid

b)

incenter

c)

circumcenter

35.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
36.

The image show which point of concurrency

a)

circumcenter

b)

centroid

c)

incenter

37.

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

38.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
39.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
40.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Midcenter
41.
If G is the centroid of triangle ABC and BF= 10. Find the length of FA.
a)
20
b)
10
c)
5
d)
25
42.

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

43.

Which of the following are special lines segments?

a)

medians

b)

midpoint

c)

perpendicular bisectors

d)

angle bisectors

e)

centroid

44.

Which of the following are points of concurrency?

a)

incenter

b)

vertex

c)

perpendicular bisectors

d)

circumcenter

e)

centroid

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