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2025 Geometry 1 Final Review

Total questions: 152

Worksheet time: 38hrs 0mins

Name
Class
Date
1.

What is the name of this ray?

a)

AB\overrightarrow{AB}

b)

BA\overrightarrow{BA}

c)

ABC\overrightarrow{ABC}

d)

AC\overrightarrow{AC}

2.

Name the figure using geometric notation.

a)

SR\overrightarrow{SR}

b)

RS\overline{RS}

c)

RS\overrightarrow{RS}

3.

Name the figure using geometric notation.

a)

FG\overleftarrow{F}\overrightarrow{G}

b)

FG\overline{FG}

c)

FG\overrightarrow{FG}

4.

Name the figure using geometric notation.

a)

QR\overline{QR}

b)

RQ\overrightarrow{RQ}

c)

QR\overrightarrow{QR}

5.

True or False,

WB\overline{WB}  and  BW\overline{BW}  are both names for the segment.

a)

True

b)

False

6.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
7.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
8.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
9.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
10.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3
11.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

12.
Find the slope of the line that passes through 
(17, 2) and (17, -3)
a)
0
b)
undefined
c)
5
d)
-5
13.
What is the slope of all horizontal lines?
a)
0
b)
undefined
c)
1
d)
-1
14.
Parallel lines have __________ slopes
a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
15.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
16.

What slope is perpendicular to:

m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

17.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7
a)
Parallel
b)
Perpendicular
c)
Neither
18.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
19.

Name the angle form by lines DE and EF in the long form.

a)

∠D

b)

∠f

c)

∠FED

d)

∠FDE

20.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

21.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
22.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
23.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

24.

Is the side with labeled with x a leg or the hypotenuse?

a)

leg

b)

hypotenuse

25.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
26.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
27.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

c)

169 feet

d)

18 feet

28.

Find the missing side

a)

11

b)

61

c)

7.87.8

d)

3.33.3

29.

Solve for y

a)

13

b)

5

c)

23

d)

10

30.

A triangle has side lengths of 9, 12, 17. What type of triangle is it?

a)

Acute

b)

Obtuse

c)

Right

31.

A triangle has side lengths of  8, 12, 158,\ 12,\ 15  What kind of triangle is it?

a)

Acute

b)

Obtuse

c)

Right

32.

A triangle has side lengths of  4, 6, 74,\ 6,\ 7  What kind of triangle is it?

a)

Acute

b)

Obtuse

c)

Right

33.

A triangle has side lengths of  12, 35, 3712,\ 35,\ 37  What kind of triangle is it?

a)

Acute

b)

Obtuse

c)

Right

34.
What is the perimeter of the rectangle?
a)
28 sq feet
b)
28 feet
c)
48 feet
d)
48 sq feet
35.

Find the perimeter.

a)
25cm
b)
35cm
c)
50m
d)
100cm
36.
What is the area of this triangle?
a)
12 sq. cm.
b)
6 sq. cm.
c)
12 cm
d)
6 cm
37.
The area of a rectangle is 63 sq. inches.  One side length is 7 inches.  What is the other side length?
a)
9 in.
b)
7 in.
c)
6 in.
d)
10 in.
38.

A triangle has a base of 8 cm and a height of 5 cm. Calculate its area.

a)

20 cm 2^2

b)

40 cm 2^2

c)

10 cm 2^2

d)

30 cm 2^2

39.

Find the area of a square whose side is 6 cm.

a)

12 cm 2^2

b)

24 cm 2^2

c)

36 cm 2^2

d)

18 cm 2^2

40.

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

a)

26 cm

b)

40 cm

c)

13 cm

d)

20 cm

41.

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

a)

(x, y) --> (x + 5, y + 8)

b)

(x, y) --> (x + 5, y - 8)

c)

(x, y) --> (x - 8, y + 5)

d)

(x, y) --> (x - 8, y - 5)

42.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
43.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
44.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(3, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(5, 3)

45.

Which rule describes rotating 180° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( -y, -x )

d)

( x, y ) → ( -y, x )

46.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
47.

Point W(3, -4) is rotated 90°90\degree  clockwise. Where is W'?

a)

(-4, -3)

b)

(4, 3)

c)

(-3, -4)

d)

(-4, 3)

48.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
49.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
50.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
51.

What type of transformation is shown?

a)

Rotation

b)

Translation

c)

Reflection

52.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

53.

Match the following transformations with their graphs

a)

1.

Reflection in the x-axis

b)

2.

Reflection in the y-axis

c)

3.

reflection in the line y=x

d)

4.

A translation

e)

5.

A rotation

54.

2. How many lines of symmetry does the picture have?

a)

1

b)

2

c)

4

d)

0

55.

8. Determine the number of lines of symmetry for the figure.

a)

0

b)

1

c)

3

d)

6

56.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
57.
How many lines of symmetry does this trapezoid have?
a)
0
b)
1
c)
2
d)
3
58.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

5

d)

Many

59.

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

a)

b)

c)

d)

60.
What is the angle of rotational symmetry?
a)
360°
b)
180°
c)
120°
d)
90°
61.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 6, 254 Degrees
62.
Does this image have a line of symmetry?
a)
Yes
b)
No
63.
Which of the following letters does not have a line symmetry, but has a rotational symmetry:
a)
H
b)
I
c)
Z
d)
X
64.
What order of rotation and angle of rotation does the picture have?
a)
Order = 1,    360⁰
b)
Order = 2,    180⁰
c)
Order = 3,    120⁰
d)
Order = 5,    72⁰
65.

If it is Valentine's Day, then the month is February. What is the hypothesis (p) of this statement?

a)

it is not Valentine's Day

b)

it is Valentine's Day

c)

the month is not February

d)

the month is February

66.

What is the conclusion (q) of the statement:

If two angles are congruent, then they have the same degree.

a)

they have the same degree.

b)

two angles are congruent

c)

two angles are not congruent

d)

they do not have the same degree.

67.

Which of the following statements are Conditional Statements

a)

I am not sure if that is an acute angle

b)

If an angle is a straight angle, then it measures 180°

c)

I do not like cauliflower.

d)

If you play basketball, then you know how to dribble.

68.

Rewrite the statement in if-then form.

a)

If someone is a child, then they must attend school.

b)

If you attend school, then you must be a child.

69.

Find the length indicated.

(a)  

70.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

71.
If GH = 8 and HI = 17, Find GI
a)
8
b)
9
c)
24
d)
25
72.

Solve for x.

a)

5

b)

7

c)

14

d)

21

73.

Solve for x:

74.

M is the midpoint of AB. If AM=5x+10AM=5x+10 & MB=4x+16MB=4x+16 , find the value of AMAM .

75.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
76.

4. Find the indicated angle measure. (Enter number value only)

(a)  

77.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

78.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

79.
Solve
a)
22°
b)
42°
c)
242°
d)
12°
80.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
81.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
82.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

83.

What are the 5 Ways to prove Triangle Congruence?

a)

SSS, SSA, ASA, HL, AAS

b)

SSS, ASA, AAA, HL, SAS

c)

SSS, AAS, HL, SAS, ASA

84.

Which statement is true?

a)

Angle A is congruent to Angle D.

b)

Angle B is congruent to angle F.

c)

Angle C is congruent to angle D.

85.

Which statement is true?

a)

Side AB is congruent to side ED

b)

Side BC is congruent to side FE

c)

Side AB is congruent to side DE.

86.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

87.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

88.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

89.

Which proves congruence?

a)

SSS

b)

SAS

c)

AAS

d)

HL

e)

ASA

90.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
91.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
92.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
93.

Which of the following measures DO NOT form a triangle?

a)

1, 1, 1

b)

7, 7, 7

c)

8, 10, 17

d)

3, 4, 8

94.

Which of the following measures form a triangle?

a)

1, 1, 3

b)

5, 5, 12

c)

7, 9, 16

d)

6, 5, 6

95.

Measurements of 80 ft, 40 ft, and ​ (a)   form a triangle.​

Choose from the below words
45 ft
20 ft
25 ft
30 ft
35 ft
96.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
97.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
98.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
99.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
100.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
101.
Find the measure of each angle indicated.
a)
50
b)
20
c)
29
d)
48
102.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
103.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
104.

Find x.

a)

60 degrees

b)

90 degrees

c)

50 degrees

d)

180 degrees

105.

Find the value of k.

a)

6666  

b)

5757  

c)

114114  

d)

2222  

106.
Solve for x.
a)
16
b)
11
c)
50
d)
6
107.

Classify the triangle by its angles and its sides.

a)

Acute/Isosceles

b)

Acute/Scalene

c)

Obtuse/Isosceles

d)

Obtuse/Scalene

e)

Equilateral/Scalene

108.

Classify the triangle by its angles and its sides.

Select all that apply.

a)

Equilateral

b)

Isosceles

c)

Obtuse

d)

Acute

e)

Right

109.
Solve for angle 1.
a)
41°
b)
65°
c)
102°
d)
115°
110.

Match the following triangles with their side classification.

a)
1.

Equilateral Triangle

b)
2.

Scalene Triangle

c)
3.

Isosceles Triangle

111.

How would you classify this triangle by it's sides and angles?

a)

Scalene Acute

b)

Equilateral

c)

Scalene Obtuse

d)

Isosceles Acute

e)

Isosceles Obtuse

112.

How would you classify this triangle by it's sides and angles?

a)

Isosceles Acute

b)

Scalene Right

c)

Scalene Obtuse

d)

Isosceles Obtuse

e)

Isosceles Right

113.

How would you classify this triangle by it's sides and angles?

a)

Isosceles Acute

b)

Scalene Right

c)

Scalene Obtuse

d)

Isosceles Obtuse

e)

Isosceles Right

114.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
115.
If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?
a)
Acute Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
116.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
117.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
118.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
119.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)

median

120.

Name the type of segment pictured.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

121.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
122.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
123.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
124.

When AB = 16, what is QS?

a)

8

b)

16

c)

24

d)

32

125.

Given that the lines are parallel, what is the angle realationship between angles 4 and 8?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Consecutive (Same-Side) Interior Angles

d)

Vertical Angles

126.

Given that the lines are parallel, what is the angle relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same Side) Interior

127.

Given that the lines are parallel, what is the angle relationship between angles 1 and 2?

a)

Alternate Interior Angles

b)

Linear Pair or Supplementary Angles

c)

Consecutive (Same-Side) Exterior Angles

d)

Alternate Exterior Angles

128.

Given that the lines are parallel, what is the relationship between the angles?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

129.

WHAT IS THE VALUE OF X

a)

-7

b)

9.4

c)

7

d)

-9.4

130.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

d)

-16

131.
What is the value of x?
a)

13

b)

6.2

c)

29.8

132.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

133.

If m∠2 = 55°, find the measure of ∠4.

m∠4 = (a)   °

134.

If m∠2 = 55°, find the measure of ∠1.

m∠1 = (a)   °

135.
a)
A
b)
B
c)
C
d)
D
136.
a)
A
b)
B
c)
C
d)
D
137.

What is x?

a)

15

b)

23

c)

2

d)

92

138.
Angle Inside Circle
a)
A
b)
B
c)
C
d)
D
139.

Solve for x. Just type in the numeric value.

(a)  

140.

Find the measure of arc KM.

a)

29º

b)

33º

c)

41.5º

d)

50º

141.
A chord that passes through the center of the circle is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
142.
A chord that passes through the center of the circle is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
143.

Define "tangent line"

a)

A line which intersects a circle at exactly one point

b)

A line that intersects a circle at two or more points

c)

A line that does not intersect a circle

d)

A line made up of the opposite and adjacent sides of the circle

144.

Define "radius"

a)

The measurement from the center of a circle to an edge of the circle.

b)

The measurement around the circle

c)

The measurement from and edge of the circle to another edge through the center

d)

A line perpendicular to the diameter of the circle

145.

What is the mathematical name given for the line OA?

a)

Diameter

b)

Radius

c)

Tangent

d)

Chord

146.

What is the mathematical name given for the line AB?

a)

Radius

b)

Diamter

c)

Tangent

d)

Chord

147.

What is the mathematical name given for the line AB?

a)

Diameter

b)

Radius

c)

Tangent

d)

Chord

148.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
149.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
150.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
151.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

152.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12