Final Exam – Geometry
Review
____
30
Name ________________________
Date Due ____May 24/25______
Date Turned in:__________
You are to complete the following problems and have them ready to review in class by the date due.
This review will be graded on BOTH completion and accuracy – 10 points for completion and 20
points for accuracy.
You may turn this review in EARLY for bonus points – on or before May 16 (+3), between May 17
and May 21 (+2), between May 22 and May 24 (+1). FOR YOUR BONUS POINT, YOU MUST
WRITE THE DATE YOU TURNED IN YOUR REVIEW, WRITE BONUS on the top WITH
THE EXTRA POINTS EARNED, and turn this in to the orange bucket.
1. Which figure is a polygon?
A.
B.
C.
D.
2. A polygon with 7 sides is called a ____________.
3. An octagon has ________ sides.
4. To be classified a “regular” polygon, a polygon must _____
5. What is the sum of the exterior angles of a decagon?
6. Find the sum of the interior angles of a pentagon.
7. The measure of each interior angle of a regular polygon is 120º. How many sides does the polygon
have?
B
A
8. Find the measure of A.
165
65
D
30
C
5x - 5
9. Find the value of x.
Use parallelogram LMNO to answer questions 10 – 12.
2x + 10
20
L
55
M
4
P
5
O
N
10. What is the length of ON ?
11. What is the length of LN ?
12. If the perimeter of LMNO is 70, what is the length of MN ?
A
13. What are the values of x and y in parallelogram ABCD?
3x
D
2y
B
120
C
Use rectangle RECT to answer questions 14 – 16.
R
E
6
A
50
T
14. What is the measure of REC?
15. Find the length of ET .
C
16. Find the measure of ETR.
Use rhombus RHOM to answer questions 17 – 18.
R
H
30
4
B
M
O
17.] What is the length of side MO ?
18.] What is the measure of M?
Use square SQUA to answer questions 19 – 21.
S
Q
R
A
U
19.] If the perimeter of SQUA is 24 inches, what is the area of SQUA?
20.] What is the measure of SRA?
21.] What is the measure of QUA?
Use trapezoid TRAP, with median EZ to answer questions 22 – 24.
T
E
P
22.] TR and AP are called _______.
R
Z
A
23.] If RA = TP and mR = 110, then mT = ________.
24.] If TR = 16 and AP = 40, then EZ = ________.
25. Solve for x:
5
3

.
x7 x2
26.] On a map of Florida, ¼ inch represents 10 miles. If on the map there is a distance of 2 inches
from Orlando to Ocala, what is the actual mileage between the two cities?
27.] The angles of a triangle form a ratio of 3 : 3 : 4. Find the measure of the largest angle of the
triangle.
28.] If ∆ABC ~∆XYZ, which angle is congruent to A?
29.] The ratios of the lengths of the sides of ∆ABC to the sides of ∆DEF is 3 : 1.
Find the lengths of EF and AB .
D
3
F
A
E
C
18
B
30.] In the diagram below,
AB AC

. Find the length of AE . (Careful!!!)
BD CE
D
6
B
8
A
E
C
10
For questions 31 – 34 , determine whether the triangles in each diagram are similar.
Choose an answer from the list.
AA
SAS
SSS
Not similar
31.]
32.]
12
10
8
15
6
33.]
34.]
7
3
4
8
5
15
8
21
9
12
15
35.] Which statement is a correct statement of proportionality for the similar triangles below?
D
AB AC BC


A.
DE DF EF
DF AB EF


B.
BC DE AC
AC AB CB


C.
DE DF EF
AB AC EF


D.
DF DE BC
F
A
80
63
E
80
B
63
C
36.] Which is a correct similarity statement for the triangles pictured below?
B
A.
B.
C.
D.
ABC ~ DFE
ABC ~ EFD
ABC ~ DEF
The triangles are not similar
10
4
A
E
C
8
15
6
D
12
F
37.] Find the value of x.
12
8
x
6
38.] Find the value of x.
12
14
8
x
39.] The longest side of a right triangle is called the ________.
40.] The acute angles of a right triangle are always ________.
41.] Find the value of x in the following diagram. Round your answer to the nearest hundredth.
x
13
8
42.] Find the value of y. Round your answer to the nearest tenth.
y
21
16
43.] Find the length of a side of the square in the diagram.
10
44.] Find the values of a and b.
b
a
60
9
45.] ∆ABC is an equilateral triangle with side 10. Find the length of the altitude, x.
A
10
x
C
B
46.] Which of the following could be the sides of an acute triangle?
A. 5, 6, 7
B. 5, 10, 12
C. 5, 12, 13
D. 9, 10, 14
47.] Find the value of x.
x
16
35
48.] Find the measure of Z.
X
17
Y
15
Z
Use the following diagram for questions 49 – 52.
A
49.] Find the measure of arc BC.
B
50.] Find the measure of arc CD.
C
55
51.] Find the measure of arc CAE.
E
D
52.] If BE = 5x + 12 and AD = 6x – 4, then the radius of the circle is ________.
Use the following circle with center O for questions 53 – 55.
A
53.] Find the measure of AOB.
12
140
54.] Find the measure of ACB.
O
C
12
B
55.] Find the measure of arc AC.
Use the following diagram, showing circle O with tangents AR and BR for questions 56 – 59.
56.] Find the measure of OAR.
A
57.] Find the measure of ARB.
10
225
O
24
58.] Find the length of tangent segment RB.
B
59.] Find the length of RO.
60.] Find the area of an equilateral triangle with side 14 feet.
61.] What is the area of a circle with diameter 26 centimeters?
62.] Find the volume and surface area of the cone in the diagram below.
8 m.
6 m.
R