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Fall 22-23 Final Review Geometry

Total questions: 61

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Find the value of c and round your answer to the nearest hundredth.

(a)  

2.

Find the height of the box.

(a)  

3.
a)

reflected, then rotated

b)

rotated, then translated

c)

translated, then feflected

4.

(a)   is an exact location in space.

Choose from the below words
point
line
line segment
perpendicular
5.

is a part of a line that connects two end points

a)

line

b)

segment

c)

ray

d)

polygon

6.
Identify this picture. 
a)
ray AB
b)
line AB
c)
line segment AB
d)
point AB
7.

two lines that run in the same direction that never meet

a)

parallel

b)

perpendicular

c)

lines

d)

straight

8.

Name the angle form by lines KL and ML in the long form.

a)

∠LMK

b)

∠KML

c)

∠KLM

9.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

10.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

11.
What is a polygon?
a)

A closed figure made up of straight lines.

b)

An open figure made up of straight lines.

c)

A closed figure made up of curved edges.

d)

A closed figure made up of crossed lines.

12.
What does the image show?
a)
acute angles
b)
right angles
c)
straight angles
d)
obtuse angles
13.

Identify the pair of lines as intersecting, parallel, or perpendicular.

a)

intersecting lines

b)

parallel lines

c)

perpendicular lines

d)

rays

14.

Classify the angle as right, acute, obtuse, or straight.

a)

right angle

b)

acute angle

c)

obtuse angle

d)

straight angle

15.

Find midpoint: (2, -11)  (-9, 0)

a)
(2, 9)
b)
(3.5, -5.5)
c)
(-3.5, -5.5)
16.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

17.

Given two points (x1, y1), (x2, y2) the distance between them is:

a)
b)
c)
d)
18.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
19.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
20.
Find AC
a)
7
b)
8
c)
22
d)
23
21.

Write an equation that could be used to relate the lengths shown.

a)

2x + 22 = 12

b)

12 + x + 11 = x + 11

22.

Write an equation that could be used to relate the lengths of the segments shown.

a)

8 + x + 3 = -17 + 2x

b)

x + 3 + -17 + 2x = 8

c)

8 + -17 + 2x = x + 3

23.
a)

Deductive

b)

Inductive

c)

Abductive

24.
a)

Deductive

b)

Inductive

c)

Abductive

25.
What is a conjecture?
a)
A statement believed to be true based on observations.
b)
An example which disproves an hypothesis.
c)
the performance of tricks that are seemingly magical
26.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
27.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
28.

Give the Reason for #1.

a)

Given

b)

Segment Addition Property

c)

Addition Property of Equality

d)

PQ + QR = PR

e)

Transitive Property of Equality

29.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
30.

What would statement #1 be

a)

Given

b)

ZYXZ, 12\overrightarrow{ZY}\perp\overleftarrow{X}\overrightarrow{Z},\ \angle1\cong\angle2  

c)

2 is a right angle\angle2\ is\ a\ right\ angle  

d)

XWXZ\overrightarrow{XW}\perp\overleftarrow{X}\overrightarrow{Z}  

31.
Find the value of x. 
a)
x = 133
b)
x = 47
32.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
33.
Identify the correct statement.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
34.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

opposite and reciprocals

c)

opposites

d)

reciprocals

35.

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

a)

NOT ENOUGH INFORMATION

b)

8X - 17 + 5X + 19 =180

c)

8X - 17 = 5X + 19

d)

8X - 17 + 5X + 19 = 90

36.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
37.

Solve for y.

a)

y=55y=55  

b)

y=35y=35  

c)

y=70y=70  

d)

y=45y=45  

38.

Are these two lines parallel, perpendicular or neither?

y = -1/3x - 5

y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

39.

PJ  LR\overline{PJ}\ \cong\ \overline{LR}  

Prove that PR  LJ\overline{PR}\ \cong\ \overline{LJ}  

Select the first statement and reason when writing the proof.

a)

Statement: PJ LR\overline{PJ}\ \cong\overline{LR}  

Reason:

Given

b)

Statement: PR LJ\overline{PR}\ \cong\overline{LJ}  

Reason:

Given

40.

Consider the following statement.

If a figure is a square, then it has four sides.

New Statement: If the figure does not have four sides, then it is not a square.

What does the new statement represent?

a)

converse

b)

inverse

c)

contrapositive

41.

What is the form of the equation given?

f(x)=25x4f\left(x\right)=\frac{2}{5}x-4  

a)

Point-Slope Form

b)

Slope-Intercept Form

c)

Function Form

d)

Equation Form

42.

What is the form of the equation of a line given?

(y7)=13(x+2)\left(y-7\right)=-\frac{1}{3}\left(x+2\right)  

(a)  

43.

Which is the correct graph for x = −4?

a)

A

b)

B

c)

C

d)

D

44.
Find the equation of the line that has a slope of 3 and passes through (-4, 1).
a)
y = 3x - 11
b)
y = 3x + 13
c)
y = -4x - 13
d)
y = x + 11
45.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
46.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

47.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

48.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o counterclockwise rotation

49.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o clockwise rotation

50.

Which figure is the IMAGE?

a)

ABC

b)

A'B'C'

c)

Not enough information

51.

Which of the following shapes does not have a line of symmetry?

a)
b)
c)
d)
52.

How many lines of symmetry does this shape have?


This a regular octogon, an 8 sided figure.

a)

2

b)

4

c)

6

d)

8

53.

How many lines of symmetry does a circle have?

a)

0

b)

1

c)

infinitely many

d)

2

54.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
55.

Which of the following is NOT a rigid transformation?

a)
b)
c)
d)
56.

The length around a polygon is called the ____.

a)

circumference

b)

shape

c)

area

d)

perimeter

57.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
58.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in
59.
a)
52 cm2
b)
28 cm2
c)
1 cm2
d)
25 cm2
60.

Find the area of this composite figure.

a)

136 square units

b)

152 square units

c)

131 square units

61.
Find the area
a)
126m
b)
120m2
c)
126m2
d)
200m2