Download Geometry Unit 8 Review

Geometry Unit 8 Review
In problems 1 – 22, choose the correct multiple choice response.
NOTE: Diagrams are not drawn to scale.
1.
What is the value of x?
120°
A.
540°
B.
390°
C.
150°
x°
D.
120°
2.
Find the value of x.
A.
15
B.
15.4
C.
9
D.
19.8
(8x + 1)°
95°
73°
(5x – 4)°
3.
Find the sum of the exterior angles of an octagon.
A.
1440°
B.
1080°
C.
360°
D.
135°
4.
Find the measure of each interior angle of a regular sided polygon with 9 sides.
A.
1620°
B.
180°
C.
1260°
D.
140°
5.
Find the measure of each exterior angle of a regular polygon with 12 sides.
A.
30°
B.
150°
C.
216°
D.
36°
6.
The measure of an interior angle of a regular polygon is 162°. How many sides does the
polygon have?
A.
18 sides
B.
20 sides
C.
16 sides
D.
10 sides
7.
What is the value of x?
100° 140°
A.
80°
100°
B.
40°
100°
C.
60°
140°
x°
D.
20°
Geometry Unit 8 Review
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8.
If the sum of the interior angles of a polygon equals 3780°, how many sides does the polygon
have?
A.
23
B.
21
C.
20
D.
19
9.
What is the measure of each interior angle of a regular hexagon?
A.
60°
B.
135°
C.
45°
D.
120°
10.
What are the values of the variables in the given parallelogram?
A.
x=7,y=9
B.
x = 7 , y = 65
C.
x = 5 , y = 71
(6x – 8)°
D.
x = 3 , y = 77
G
F
If FH = 30, find FK.
A.
12
K
B.
18
C.
15
12
D.
30
H
J
11.
12.
13.
14.
PQVT
A.
B.
C.
D.
is a rhombus. Find the value of x.
110°
55°
70°
35°
T
P
110°
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(2y + 16)°
Q
V
If PQRS is a rhombus, which statement must be true?
A.
PSR is a right angle
PR  QS
B.
PQR  QRS
C.
P
PQ  QR
D.
Which statement is true?
A.
All quadrilaterals are rectangles
B.
All rectangles are quadrilaterals
C.
All rectangles are squares
D.
All quadrilaterals are squares
x°
(4x + 6)°
S
R
Q
15.
Find the value of x
A.
4
B.
6
C.
12
D.
8
2y – 10
3x – 6
x+6
16.
17.
18.
19.
y+2
In the diagram m 1 = 9x, m 2 = x + y
Find the value of x and y
A.
x = 20°, y = 165°
B.
x = 10°, y = 80°
C.
x = 20°, y = 160°
D.
x = 10°, y = 85°
1
2
J and M are congruent base angles of isosceles trapezoid JKLM.
If mJ = (18x + 5)°, mK = (14x + 15)° and mM = (17x + 10)°, find the value of x.
5
A.
2
B.
2
C.
15
D.
5
The perimeter of square MNOP is 72 inches, and NO = 2x + 6. What is the value of x?
A.
15
B.
12
C.
6
D.
9
K
L
4x + 1
Find the length of KL in the trapezoid below.
5x + 2
H
A.
26
I
B.
4
27
C.
13
M
N
D.
17
20.
Which quadrilateral has two pairs of consecutive congruent sides, but opposite sides are not
congruent?
A.
Kite
B.
Rhombus
C.
Trapezoid
D.
Parallelogram
21.
What is the most specific name for the figure shown?
A.
Quadrilateral
B.
Parallelogram
C.
Trapezoid
D.
Rectangle
Geometry Unit 8 Review
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91°
2x + y
22.
Find the value of x in the given parallelogram.
A.
2
B.
3
C.
4
D.
6
4x + 3y
24
10
2x + 7y
Work the following, showing all work.
23.
Find the value of x and y.
7
11
3x + y
24.
ABCD is an isosceles trapezoid with midsegment EF . Find/solve for the following:
10
B
n = ___________
C
(3x + 2)°
EF = ___________
3n – 4
E
x = ___________
F
mADC = ___________
(2x – 17)°
A
25.
36
D
ABCD is a parallelogram. Find/solve for the following.
3x + 2y
B
C
z+6
7x – y
21
z2
26.
y = ___________
z = ___________
E
A
x = ___________
AC = ___________
D
26
ABCD is a rectangle with perimeter 96 meters. Find/solve for the following.
B
A
mDBC = ___________
28°
E
2n + 8
mDEC = ___________
n = ___________
D
Geometry Unit 8 Review
6n – 12
C
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BC = ___________
27.
Given a 25-gon:
a.
What is the sum of the measures of the interior angles?
b.
What is the sum of the measures of the exterior angles?
28.
Sketch LMNP if L (2, 1), M (1, 4), N (7, 6), and P (8, 3). Prove that LMNP is a rectangle.
29.
The points (1, –1), (4, –1) and (1, – 4) are plotted below.
A.
Plot a fourth point in quadrant 4 that will make a parallelogram.
B.
Plot a fourth point in quadrant 3 that will make a parallelogram.
C.
Plot a fourth point in quadrant 1 that will make a parallelogram.
Geometry Unit 8 Review
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