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Geometry Unit 4 Practice Test

Total questions: 55

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

Statement: The sum of the measure of angles of a triangle is...

Euclidean: 180⁰

Spherical: ??

a)

180⁰

b)

Greater than 180⁰

c)

Less than 180⁰

d)

Greater than 540⁰

2.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
3.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
4.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
5.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
6.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
7.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
8.
Challenge:  Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
9.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
10.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
11.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
12.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
13.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
14.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
15.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
16.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
17.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
18.
What is the measure of angle 2?
a)
50
b)
65
c)
115
19.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
20.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
21.
a)
A
b)
B
c)
C
d)
D
22.
Solve for x.
a)
6
b)
8
c)
15
d)
13
23.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
24.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
25.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
26.
Which of these divides a side of a triangle in two equal segments and always form right angles wherever it intersects.
a)
altitude
b)
perpendicular bisector
c)
median
d)
angle bisector
27.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
28.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
29.
Given: SA is the altitude. Which of the following is true?
a)
∠STR = 90
b)
∠AST = 90
c)
∠SAR = 90
d)
∠ARS = 90
30.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
31.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
32.
Are the triangles similar?
a)
Yes
b)
No
33.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
34.
Find missing side
a)
5
b)
7
c)
9
d)
11
35.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
36.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
37.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
38.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
39.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
40.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
41.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
42.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
43.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
44.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
45.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YZ
c)
AB≅XZ
d)
BC≅CB
46.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
47.

Can the vertex angle in an isosceles triangle ever be obtuse?

a)

Yes

b)

No

48.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
49.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
50.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
51.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
52.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
53.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
54.
a)
1
b)
2
c)
3
d)
4
55.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36