Name ______________________________________________________________ Date _________________________
Geometry Final Exam Review 1
1. If m ̂
𝐸𝐺𝐹 = 235, find the area of the shaded sector.
F 82.3 in2
H 436.3 in2
G 820.3 in2
J 1256.6 in2
2. The wheels on Elliot’s truck each have a circumference of 22 inches.
Determine the radius of each wheel to the nearest length.
F 2.5 in.
G 3.5 in.
H 5 in.
J 7 in.
3. Identify the graph of (𝑥 − 3)2 + ( 𝑦 + 2)2 = 4.
F
G
H
̂ = 72. Find m∠BCD.
4. In ⨀C, m𝐴𝐵
A 72
B 108
J
C 144
D 180
5. Find the geometric mean between 9 and 11.
A 3√11
C 10
B 2 √5
D2
6. Find x.
A 8.0
B 8.9
C 10.4
D 10.8
7. Find x to the nearest degree.
F 57
G 55
H 33
J 29
8. Find the value of x if △ABC ∼ △JKL.
F 10
H 25
G 14
J 29
9. A 24-foot flagpole cast a 20-foot shadow. At the same time, the building next
to it cast an 85-foot shadow. Find the height of the building.
5
A 70 ft
6
B 89 ft
1
C 96 ft
6
D 102 ft
10. In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is
40 centimeters long, find its width.
F 32 cm
G 36 cm
H 44 cm
J 50 cm
11. ∠1 and ∠8
F alternate exterior
H consecutive interior
G alternate interior
J corresponding
12. ∠3 and ∠7
A alternate exterior
B alternate interior
C consecutive interior
D corresponding
13. Given a ║ b and m∠2 = 65, find m∠6.
F 25
G 65
H 115
J 140
14. Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x.
A 110
B 70
C 20
D 2.5
15. Given A(1, 7), B(8, 4), and C(3, 10), which coordinate will make ̅̅̅̅
𝐴𝐵 ll to ̅̅̅̅
𝐶𝐷 ?
A D(0, 17)
B D(6, 17)
C D(10, 7)
D D(10, 13)
16. Given A(–1, 4), B(2, –5), and C( –3, 4), which coordinate will make ̅̅̅̅
𝐴𝐵
F D(0, 5)
G D(2, 1)
H D(5, –2) J D( – 6, 3)

to ̅̅̅̅̅
𝐶𝐷 ?
17. If JL  ML , what is the reason for △JKL ≅ △MNL?
F AAS
G ASA
H SAS
J SSS
18. What is the reason for △NDY ≅ △DNA?
F ASA
H SAS
G AAS
J SSS
19. Which triangles are congruent in the figure?
F △KLJ ≅ △MNL
G △JLK ≅ △NLM
H △JKL ≅ △LMN
J △JKL ≅ △MNL
20. Point K(–2, 1) is rotated 90° about the origin. What are the coordinates of K′?
F K′(–2, 1)
G K′(2, –1)
H K′(–1, 2)
J K′(–1, –2)
3
21. What type of dilation occurs with a scale factor of ?
2
A enlargement
B reduction
C congruence transformation
D glide reflection
22. Which transformation moves all points the same distance in the same direction?
A rotation
C reflection
B translation
D dilation
23. What is the image of X(3, 5) along the translation vector ⟨–4, 6⟩?
F X′(7, –1)
H X′(7, 11)
G X′(–1, –1)
J X′(–1, 11)
24. If △A′B′C′ is the image of △ABC under a dilation
with center at (0, 0), what is the scale factor?
F3
G
H
2
1
3
J−
3
1
3
25. Which of the following is a property of a parallelogram?
A The diagonals are congruent.
C The diagonals are perpendicular.
B The diagonals bisect the angles.
D The diagonals bisect each other.
26. Which of the following is a property of all rectangles?
A four congruent sides
C diagonals are perpendicular
B diagonals bisect the angles D four right angles
27. Which of the following is a property of a parallelogram?
F Each pair of opposite sides is congruent.
G Only one pair of opposite angles is congruent.
H Each pair of opposite angles is supplementary.
J There are four right angles.
28. Find the distance between P(2, 8) and Q(5, 3).
F9
G √18
H √34
J √170
29. Find the coordinates of the midpoint of ̅̅̅̅
𝐿𝐵 if L(8, 5) and B(–6, 2).
A (1, 3.5)
B (2, 1.5)
C (7, 3.5)
D (7, 1.5)
30. What is the measure of the each interior angle of a regular pentagon?
F 36
G 72
H 108
J 540