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Geometry Fall Exam

Total questions: 54

Worksheet time: 2hrs 18mins

Name
Class
Date
1.

Name three collinear points.

a)

A, E, M

b)

D, E, F

c)

J, A, D

d)

A, E, C

2.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
3.

Are two points are collinear

a)

Sometimes

b)

Always

c)

Never

4.

What is the length of AD

a)

11

b)

12

c)

10

d)

5

5.

If EF = 10 and EG = 19, find the value of FG.

a)

19

b)

10

c)

9

d)

29

6.

If EF = 5x + 3, FG = 20, and EG = 113, find the value of x.

a)

40

b)

11

c)

27.2

d)

18

7.

If Z is the midpoint of RT, find x if RZ= 2x + 32 and RT = 224.

a)

6.9

b)

192

c)

128

d)

96

8.

 Find the measures of DBGFind\ the\ measures\ of\ \angle DBG  

a)

110

b)

125

c)

15

d)

165

9.

Find the measure of Angle A.

a)

40°40\degree

b)

140°140\degree

c)

80°80\degree

d)

100°100\degree

10.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
11.

∠TPU and ∠UPQ are ______________

a)

Vertical

b)

Complementary and Adjacent

c)

Supplementary and Adjacent

d)

Nothing

12.

The complement of an angle is 61°61\degree . What is the measure of the angle?

a)

119

b)

39

c)

29

d)

109

13.
Find the value of t
a)
-1
b)
5
c)
5.14
d)
7
14.
Find the next number in the pattern.
18, 22, 26, 30, 34, ________
a)
38
b)
42
c)
40
d)
36
15.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
16.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
17.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
18.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
19.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
20.
Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.
a)
Then it's not odd.
b)
Then it's a whole number.
c)
Then its square is divisible by 4
d)
Then it's even.
21.
Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car
a)
You are at least 25 years old
b)
You can rent a car
c)
You can go on a road trip
d)
Invalid
22.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
23.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
24.

Find the value of x

a)

2

b)

6

c)

15

d)

11

25.

Solve for x.

a)

21

b)

18

c)

4

d)

9

26.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
27.
Solve for x.
a)
-11
b)
-12
c)
-6
d)
11
28.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
29.

Name the angle included between AC and BC.

a)

A

b)

C

c)

B

d)

D

30.
What is the value of x?
a)
51
b)
49
c)
78
31.

Find the midpoint of line BC

a)

(1,2)

b)

(2,1)

c)

(1,1.5)

d)

(1.5,1)

32.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
33.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
34.
What is the distance between (-4, 2) and (-4, -4)
a)
1
b)
6
c)
5.8
d)
6.7
35.

Are the two triangles similar? What is the correct proportion?

a)

x9=36\frac{x}{9}=\frac{3}{6}

b)

x3=69\frac{x}{3}=\frac{6}{9}

c)

x3=96\frac{x}{3}=\frac{9}{6}

d)

x6=93\frac{x}{6}=\frac{9}{3}

36.
Similarity Ratio: _
a)
2/3
b)
1/2
c)
2
d)
3
37.

Find the value of x.

a)

9

b)

13

c)

8

d)

12

38.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement and give the scale factor.

a)

SAS, BCD, 512\frac{5}{12}

b)

SSS, BCD 125\frac{12}{5}

c)

AA, BCD, 12\frac{1}{2}

d)

The triangles are not similar

39.

Are the two triangles are similar? How do you know?

a)

Yes, SAS

b)

Yes, AA

c)

Yes, SSS

d)

No

40.

Are the two triangles similar? If so, write a similarity statement and the postulate used.

a)

ΔKLM ΔKRQ, SSS\Delta KLM\ \sim\ \Delta KRQ,\ SSS

b)

ΔKMLRKQ, AA\Delta KML\sim RKQ,\ AA

c)

ΔKLMKRQ, SAS\Delta KLM\sim KRQ,\ SAS

d)

No solution

41.

What is the value of x

a)

12

b)

3

c)

8.3

d)

6

42.

Given the hypotenuse of a triangle is 21 and one length is 15, what is the other length?

a)

216\sqrt{216}

b)

666\sqrt{6}

c)

636\sqrt{3}

d)

363\sqrt{6}

43.

State whether the triangle is acute, obtuse or right?

a)

acute

b)

right

c)

obtuse

44.

Given the lengths 6, 9, 10, state whether they make a right, obtuse or acute triangles?

a)

acute

b)

right

c)

obtuse

45.

Given the lengths 15, 9, 12 state whether they make a right, obtuse or acute triangles?

a)

acute

b)

obtuse

c)

right

46.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
47.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
48.

Find the missing side lengths

a)
b)
c)
d)
49.
a)
b)
c)
d)
50.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

51.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
52.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
53.
Solve for x
a)
x = 77
b)
x = 7.5
c)
x = 8
d)
x = 18
54.

If lines are parallel with a transversal, then these two angles are?

a)

Corresponding Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Vertical Angles