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Geometry Fall Final Review

Total questions: 53

Worksheet time: 3hrs 36mins

Name
Class
Date
1.

a set of points that form a straight path that goes forever in both directions

a)

ray

b)

line segment

c)

point

d)

line

2.

part of a line that begins at one endpoint and continues without end in one direction

a)

ray

b)

point

c)

line segment

d)

line

3.

part of a line between two points on the line (endpoints)

a)

ray

b)

line

c)

line segment

d)

point

4.

Two rays joined at a common endpoint

a)

point

b)

line

c)

angle

d)

segment

5.
An exact location in space
a)
angle
b)
line
c)
point
d)
ray
6.
Points that lie in the same plane are called ____________________.
a)
coplanar points
b)
collinear points
c)
line segment
d)
defined terms
7.
Points that lie in the same plane are called ____________________.
a)
coplanar points
b)
collinear points
c)
line segment
d)
defined terms
8.
A _______________ is a flat, 2-dimensional surface usually represented by a shape that looks like a floor or a wall.
a)
plane
b)
segment bisector
c)
line
d)
ray
9.
A point that divides, or bisects, a segment into two congruent segments is called a ___________________.
a)
midpoint
b)
congruent segment
c)
angle bisector
d)
endpoint
10.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
11.
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
12.

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

a)

If I eat, then I am hungry.

b)

If I don't eat then I am not hungry

c)

If I am not hungry, then I don't eat.

d)

If I am not hungry, then I eat.

13.

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

14.

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

15.

Given the conditional;

"If it snows then school will be closed"

Which is the inverse?

a)

If school is open, then it didn't snow.

b)

If school is closed, then it snowed.

c)

If it doesn't snow, then school will be open.

d)

Let it Snow!

16.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Contrainverse

17.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
18.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
19.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
20.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
21.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
22.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
23.

What type of Symmetry is shown?

a)

Reflection Symmetry

b)

Translation Symmetry

c)

Rotation Symmetry

d)

Glide-Reflection Symmetry

24.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 144 degrees counterclockwise

b)

Rotation of 120 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Rotation of 64 degrees counterclockwise

25.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

26.

Which is a rule for a reflection over the x-axis?

a)

f(x,y)=(x,−y)f\left(x,y\right)=\left(x,-y\right)

b)

f(x,y)=(−x,y)f\left(x,y\right)=\left(-x,y\right)

c)

f(x, y)= (−y, x)f\left(x,\ y\right)=\ \left(-y,\ x\right)

d)

f(x, y)= (y,− x)f\left(x,\ y\right)=\ \left(y,-\ x\right)

27.

What does the rule  f(x,y)=(x−6,y+4)f\left(x,y\right)=\left(x-6,y+4\right)  tell you to do? 

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

28.

 f(x,y)=(−y, x)f\left(x,y\right)=\left(-y,\ x\right)  is a rule for which transformation?

a)

Reflection over the x axis

b)

Rotation 90 degrees counterclockwise

c)

Rotation 270 degrees counterclockwise

d)

Reflection over the line y=x

29.

Which rule describes the action of the coordinates when a figure is rotated 270o counter-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(y, -x)

d)

(x, y)→(x, -y)

30.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
31.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
32.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
33.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
34.
Simplify
a)
9
b)
√9
c)
3√9
d)
can't simplify
35.
√128
a)
64√2
b)
16
c)
2√8
d)
8√2
36.
√200
a)
14
b)
20√8
c)
5√3
d)
10√2
37.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
38.

What is the distance midpoint (-5, 3) and (4, -5)

a)

(-0.5, 2)

b)

(-0.5, -1)

c)

(-0.5, 1)

d)

(-.05, -0.5)

39.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
40.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
41.
A(-2, 2) and B(3, 2)
Rotate 180 degrees 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (-3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
42.
Identify the m<YOU
a)
1160
b)
720
c)
360
d)
1000
43.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

44.

Which equation represents the equation of the line passing through the point A, parallel to the given line?

a)

y = -1/3x + 7/3

b)

y = -3x + 7

c)

y = 3x + 1

d)

y = -1/3x + 2

45.

Which equation represents the equation of the line passing through the point A, parallel to the given line?

a)

y = -1/3x + 7/3

b)

y = -3x + 7

c)

y = 3x + 1

d)

y = -1/3x + 2

46.

Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?

a)

-2x + 3y = 10

b)

2x + y = 6

c)

3x + 2y = -4

d)

-3x - 2y = 2

47.

What is the value of x?

a)

x = 60

b)

x = 26

c)

x = 14

d)

x = 10

48.

Write and Solve an Equation for the value of x.

a)

3x - 1 + x + 5 = 90 and x = 21.5

b)

3x - 1 + x + 5 = 180 and x = 44

c)

3x - 1 = x + 5 and x = 3

49.
If M is the midpoint of AB, then AM = MB
a)
Addition POE
b)
Def. of Midpoint 
c)
Reflexive POE
d)
Symmetric
50.

What is the REASON for Statement #6?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

51.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
52.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
53.
What is reason #2?
a)
Vertical angles are congruent.
b)
Consecutive angles are congruent.
c)
Alternate interior angles are congruent.
d)
Definition of Bisect

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