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Geo Review Special Segments in Triangles and Inequalities

Total questions: 84

Worksheet time: 7hrs 0mins

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)
midsegment
7.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

8.

Identify the type of segment pictured below.

a)

Median

b)

Midsegment

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.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

11.
a)
m∠SQP=29, m∠PQR=58
b)
m∠SQP=29, m∠PQR=29
c)
m∠SQP=58, m∠PQR=58
d)
m∠SQP=58, m∠PQR=29
12.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
13.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
14.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
15.
Based on the markings, segment AB represents the...
a)
perpendicular bisector
b)
angle bisector
c)
median
d)
altitude
16.
Based on the markings, segment BG represents the...
a)
angle bisector
b)
median
c)
altitude
d)
perpendicular bisector
17.
Based on the markings, segment DE represents the...
a)
perpendicular bisector
b)
altitude 
c)
angle bisector
d)
meidan
18.
Based on the markings, segment CF represents the...
a)
altitude
b)
meidan
c)
perpendicular bisector
d)
angle bisector
19.
Given:  m<PXR=2a+10, If segment PX is the altitude find the value of "a".
a)
50
b)
17
c)
40
d)
35
20.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
21.
Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
22.
Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
23.
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. 
24.

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

25.

What type of special segment is shown?

a)

Median

b)

Perpendicular Bisector

c)

Angle Bisector

d)

Altitude

26.

What type of special segment is shown?

a)

Angle Bisector

b)

Altitude

c)

Median

d)

Perpendicular Bisector

27.

What type of special segment is shown?

a)

Median

b)

Angle Bisector

c)

Perpendicular Bisector

d)

Altitude

28.

What type of special segment is shown?

a)

Altitude

b)

Median

c)

Perpendicular Bisector

d)

Angle Bisector

29.

What type of special segment is shown?

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

30.

What type of special segment is shown?

a)

Altitude

b)

Perpendicular Bisector

c)

Median

d)

Angle Bisector

31.

What type of special segment is shown?

a)

Angle Bisector

b)

Altitude

c)

Median

d)

Perpendicular Bisector

32.
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. 
33.
A ray that divides an angle into two congruent angles.
a)
Segment Bisector
b)
Midpoint
c)
Angle Bisector
d)
Sunshine
34.
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. 
35.
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. 
36.
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
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.
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. 
39.

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

40.

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.

41.

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

a)

Midsegments

b)

Medians

c)

Altitudes

d)

Perpendicular Bisectors

42.
If AG = 2x + 21 and RE = x + 10.5, 
what is NG?
a)
16
b)
8
c)
26.5
d)
10.5
43.

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

a)

7

b)

14

c)

10.5

d)

28

44.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
45.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
46.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
47.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
48.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
49.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
50.
a)

10.5

b)

15

c)

21

d)

28

51.
a)

AB>AC

b)

AB<AC

c)

AB=AC

d)

No conclusion can be made

52.
a)

Dave

b)

Ellen

53.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
54.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
55.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
56.

Order the sides from greatest to least

a)

a , b , c

b)

b , c , a

c)

c , b , a

d)

a , c , b

57.
In ∆LMN, the measure of ∠L is 51° and the measures of ∠M is 48°. Which of the following inequalities concerning the lengths of the sides of ∆LMN is true?
a)
MN>LM
b)
LN+MN<LM
c)
LN>MN
d)
LM>LN
58.

Which of the following statements must be true?

a)

RS > XY

b)

RS < XY

c)

ST < XZ

d)

∠T >∠Z\angle T\ >\angle Z

59.

Select all that are TRUE.

a)

AB > AE

b)

BE > CE

c)

BE > CD

d)

CD < DE

e)

CE > BC

60.

The sum of two sides of a triangle is equal to the third side.

a)

Always

b)

Sometimes

c)

Never

d)

Pythagorean theorem

61.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

62.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
63.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
64.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
65.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
66.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
67.

If the given side lengths of a triangle are 16 and 10 what can be the third side?

a)

25

b)

22

c)

27

d)

21

68.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
69.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
70.
a)

<

b)

>

c)

=

71.
a)

10.5

b)

15

c)

21

d)

28

72.
a)

AB>AC

b)

AB<AC

c)

AB=AC

d)

No conclusion can be made

73.
a)

Dave

b)

Ellen

74.
a)

Neva

b)

Shawn

75.
a)

<

b)

>

c)

=

76.
a)

Car A

b)

Car B

77.
a)

10.5

b)

15

c)

21

d)

28

78.
a)

AB>AC

b)

AB<AC

c)

AB=AC

d)

No conclusion can be made

79.
a)

<

b)

>

c)

=

80.
a)

RE, ED, RD

b)

ED, RE, RD

c)

RD, RE, ED

d)

RE, RD, ED

81.
a)

>

b)

<

c)

=

82.
a)

MN

b)

RS

c)

None of the above

83.
a)

Dave

b)

Ellen

84.

Can a triangle be formed with sides of lengths 3, 3 and 7?

a)

YES

b)

NO

c)

CANNOT DETERMINED

d)

NONE OF THE ABOVE

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