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Fall Final Exam Geometry Pre-AP

Total questions: 111

Worksheet time: 3hrs 23mins

Name
Class
Date
1.

Another name for line k

a)

 DB\overleftarrow{D}\overrightarrow{B} 

b)

 DE\overleftarrow{D}\overrightarrow{E}  

c)

 EC\overleftarrow{E}\overrightarrow{C}  

d)

 ED\overleftarrow{E}\overrightarrow{D}  

e)

plane MM  

2.

A plane containing  \cdot A

a)

plane DFA

b)

plane DEF

c)

plane j

d)

plane M

e)

plane BEC

3.

intersection of plane M and line k

a)

 CB\overleftarrow{C}\overrightarrow{B} 

b)

 \cdot E

c)

j

d)

plane MM  

4.

3 non - collinear points

a)

B, E, A

b)

D, A ,F

c)

D, F, E

d)

C, E, B

5.

How many lines are in the figure?

a)

6

b)

8

c)

9

d)

11

6.

How many planes are in the figure?

a)

2

b)

3

c)

5

d)

7

7.

3 collinear points

a)

A, B, C

b)

D, E, F

c)

D, G, F

d)

F, H, C

e)

B, E, H

8.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
9.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
10.
What is this?
a)
Line
b)
Ray
c)
Line segment
d)
Angle
11.
A location in space that is represented by a dot and has no dimensions
a)
Point
b)
Line
c)
Plane
d)
Angle
12.
What are these figures called?
a)
Points
b)
Lines
c)
Angles
d)
Planes
13.
If GH = 31 and HI = 11, then GI =?
a)
20
b)
11
c)
42
d)
16
14.
If GH = 45 and GI = 61, then HI =?
a)
16
b)
106
c)
-16
d)
20
15.
Find the value of KL. If KL = 3x + 2 and LM = 5x - 10.
a)
KL = 20
b)
KL = 16
c)
KL = 10
d)
KL = 9
16.
Solve for x.
a)
10
b)
2
c)
-8
d)
11
17.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
18.
Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
19.

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 4x + 1.

Find the length of PR.

a)

4

b)

17

c)

33

d)

34

20.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
21.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
22.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
23.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

24.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

25.

Supplementary angles always add up to

(a)  

26.

Complementary angles always add up to

(a)  

27.

Which angle is complementary to  LJM\angle LJM  

a)

 MJN\angle MJN  

b)

 NJP\angle NJP  

c)

 FGE\angle FGE  

d)

 LJK\angle LJK  

28.

Which angle is a linear pair with 1\angle1  ?

a)

 2\angle2  

b)

 3\angle3  

c)

 4\angle4  

d)

 5\angle5  

e)

 6\angle6  

29.
Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Angle Bisector
d)
Definition of Congruent Angles
30.
Solve for x
a)
x = 77
b)
x = 7.5
c)
x = 8
d)
x = 18
31.
Find the next term in the sequence:
A, D, G, J, _____
a)
L
b)
M
c)
P
d)
K
32.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
33.
Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4
a)
0
b)
12
c)
28
d)
42
34.

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

a)

Tomorrow is Wednesday.

b)

We have school.

c)

Today is Tuesday.

d)

We do not have school.

35.

Write the conclusion of the statement,

"If you are Anthony Rizzo, then you are a Chicago Cub."

a)

You are Anthony Rizzo.

b)

You are a Chicago Cub.

c)

The Cubs are the best.

36.

Rewrite the statement as a conditional statement.

"The sum of the angles of a triangle is 180."

a)

If the sum of the angles of a triangle, then 180.

b)

If a figure is a triangle, then the sum of the angles is 180.

c)

If a figure sums angles, then the triangle is 180.

37.

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

38.

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

39.

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

40.

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

41.

How many students have Netflix or Prime?

a)

330

b)

60

c)

190

d)

20

42.

How many students have all 3 streaming services?

a)

40

b)

360

c)

10

d)

140

43.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
44.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

45.
If O is between FX, then FO + OX = FX.
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
46.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Symmetric Property of Congruence
d)
Reflexive Property of Congruence
47.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
48.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
49.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

50.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

51.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

52.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
53.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not congruent
54.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
55.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
56.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
AAS
d)
Not Congruent
57.
a)

HL

b)

SAS

c)

not congruent

d)

AAS

58.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
59.

What is the angle realationship between angles 4 and 8?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Consecutive (Same-Side) Interior Angles

d)

Alternate Exterior Angles

60.

What is the angle realationship between angles 4 and 5?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Consecutive (Same-Side) Interior Angles

d)

Alternate Exterior Angles

61.

What is the angle realationship between angles 3 and 5?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Consecutive (Same-Side) Interior Angles

d)

Alternate Exterior Angles

62.

What is the angle realationship between angles 1 and 2?

a)

Vertical Angles

b)

Linear or Supplementary Angles

c)

Consecutive (Same-Side) Exterior Angles

d)

Alternate Exterior Angles

63.

What is the angle realationship between angles 2 and 8?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Consecutive (Same-Side) Interior Angles

d)

Alternate Exterior Angles

64.

If   2 = 50°\angle\ 2\ =\ 50\degree , what is the measurement of  6?\angle6?   ? Identify the angle relationship.

a)

  50°50\degree  Vertical Angles

b)

 50°50\degree  Corresponding Angles

c)

 130°130\degree  Consecutive (Same-Side) Interior Angles

d)

 130°130\degree  Same-Side Exterior Angles

65.

If   1 = 110°\angle\ 1\ =\ 110\degree , what is the measurement of  3?\angle3?   ? Identify the angle relationship.

a)

  110°110\degree  Vertical Angles

b)

 110° 110\degree\   Alternate Interior Angles

c)

 70°70\degree  Vertical Angles

d)

 70°70\degree  Alternate Interior Angles

66.

If   4 = 72°\angle\ 4\ =\ 72\degree , what is the measurement of  6?\angle6?   ? Identify the angle relationship.

a)

  72°72\degree  Corresponding Angles

b)

 72° 72\degree\   Alternate Interior Angles

c)

 108°108\degree  Consecutive (Same-Side) IInterior Angles

d)

 108°108\degree  Linear or Supplementary Angles

67.

What is the measurement of x ? 
Identify the angle relationship.

a)

  48°48\degree  Corresponding Angles

b)

 48° 48\degree\   Alternate Interior Angles

c)

 132°132\degree  Consecutive (Same-Side) Interior Angles

d)

 132°132\degree  Same-Side Exterior Angles

68.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
69.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
70.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)
33 = 7X +5
b)
-7X=33
c)
33+7X+5=180
d)
33+7X+5=90
71.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
72.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
73.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

74.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

75.

Line 1: (1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

76.

Which two lines are parallel?

a)

Line A and Line B

b)

Line A and Line C

c)

Line B and Line C

77.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
78.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
79.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

80.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

81.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y1= m(x-x1)

82.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

83.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
84.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
85.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
86.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
87.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
88.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
89.
Write the equation of a line with a slope of 0 through the point (3, -1).
a)
y = 3x - 1
b)
y = -1
c)
x = 3
d)
x = -1
90.
Write the equation of a line that has an undefined slope and goes through the point (9, -5). 
a)
y = 9
b)
y = -5
c)
x = 9
d)
x = -5
91.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

92.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

93.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

94.

Identify the triangle by its sides and angles

a)

Acute Equilateral

b)

Right Equilateral

c)

Acute Isosceles

d)

Obtuse Isosceles

95.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
96.

Which of the following could be angle measures for a triangle?

A 120°, 50°, 20°

B 100°, 200°, 60°

C 30°, 50°, 80°

D 40°, 50°, 90°

a)

A

b)

B

c)

C

d)

D

97.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

98.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
99.

What is the length of BC?

a)

6

b)

31

c)

29

d)

11

100.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

101.
Find x
a)
10
b)
32
c)
116
d)
16
102.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
103.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
104.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

105.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

106.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
107.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

108.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
109.
What is the intersection of three perpendicular bisectors called?
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
110.

Do these sides make a triangle? 5,10,15

a)

Yes

b)

No

111.

Write an inequality showing the possible 3rd side of a triangle. 5 & 15

a)

5<x<15

b)

10<x<20

c)

15<x<5

d)

20<x<10