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Geometry Final Review

Total questions: 55

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

If the measures of the angles of a triangle are 2:3:4, what is the measure of the largest angle of the triangle?

a)

20

b)

40

c)

60

d)

80

2.
All corresponding angles in similar figures are congruent.  
a)
True
b)
False
3.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
4.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

5.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
6.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

7.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
8.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
9.

If the triangles are similar, state how.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar

10.

If a2 + b2 > c2

a)

It is an acute triangle

b)

it is an obtuse triangle

c)

it is not a triangle

d)

it is a right triangle

11.

If a2 + b2 < c2

a)

It is an acute triangle

b)

it is an obtuse triangle

c)

it is not a triangle

d)

it is a right triangle

12.

If a + b is NOT bigger then c....

a)

It is an acute triangle

b)

it is an obtuse triangle

c)

it is not a triangle

d)

it is a right triangle

13.
 Find tanZ
a)
35/21
b)
21/28
c)
35/28
d)
28/21
14.

What is the relationship between the leg and the hypotenuse of a 45-45-90 right triangle?

a)

hypotenuse = 2*leg

b)

leg = 2*hypotenuse

c)

hypotenuse = √2*leg

d)

hypotenuse = √3*leg

15.

What is the relationship between the short leg and the hypotenuse of a 30-60-90 right triangle?

a)

hypotenuse = √2*(short leg)

b)

hypotenuse = √3*(short leg)

c)

hypotenuse = 2*(short leg)

d)

short leg = √3*(hypotenuse)

16.

What is the relationship between the long leg and the short leg of a 30-60-90 right triangle?

a)

long leg = √3*(short leg)

b)

short leg = √3*(long leg)

c)

long leg = √2*(short leg)

d)

long leg = 2*(short leg)

17.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
18.
How long is e?
a)
3
b)
6
c)
6√3
d)
6√2
19.
Find X.
a)
44.55
b)
22.69
c)
41.66
d)
38.49
20.
Find X.
a)
20.35
b)
12.72
c)
14.99
d)
21.83
21.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
22.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
49°
b)
57°
c)
45°
d)
54°
23.

In the diagram, segment  AE‾\overline{AE}  is a 

a)

secant

b)

chord

c)

diameter

d)

radius

24.

In the diagram, segment  AD‾\overline{AD}  is a 

a)

secant

b)

chord

c)

radius

d)

diameter

25.

In the diagram, line AE is a ...

a)

secant

b)

chord

c)

diameter

d)

tangent

26.

In the diagram, segment  FD‾\overline{FD}  is a 

a)

secant

b)

chord

c)

radius

d)

diameter

27.
What is the value of x?
a)
A
b)
B
c)
C
d)
D
28.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
29.
Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.
a)
x = 14.4
b)
x = 8.9
c)
x = 16
d)
x = 8
30.

Identify the given arc NLK.

a)

major arc

b)

minor arc

c)

semicircle

31.

Identify the given arc NM.

a)

major arc

b)

minor arc

c)

semicircle

32.

Identify the given arc JLM.

a)

major arc

b)

minor arc

c)

semicircle

33.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
34.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
35.
Find the measure of the arc
a)
A
b)
B
c)
C
d)
D
36.
Find the measure of the indicated angle.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
39.
Find the measure of <E.
a)
7
b)
8
c)
44
40.
What is the measure of arc AD?
a)
137
b)
136
c)
135
d)
134
41.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
42.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
43.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
44.
A cube has a length of 3 inches.  Find the volume.
a)
9 inches3
b)
12 inches3
c)
27 inches3
d)
18 inches3
45.
What is the volume of the cereal box?
a)
23 in3
b)
97 in3
c)
132 in3
d)
288 in3
46.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
47.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

48.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

49.

Find the area?

a)

20 cm2

b)

56 cm2

c)

28 cm2

d)

27 cm2

50.

Find the area of the parallelogram.

a)

9.2 cm2

b)

13 cm2

c)

9.55 cm2

d)

4.6 cm2

51.

Find the area of the trapezoid.

a)

25.84 in2

b)

18.62 in2

c)

31.008 in2

d)

20.09 in2

52.
Find the arc length of the bolded arc in the picture.
a)
A
b)
B
c)
C
d)
D
53.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π cm
b)
7/2π cm
c)
1/5π cm
d)
45π cm
54.
A line from the center of a regular polygon at right angles to any of its sides.
a)
apothem
b)
radius
c)
permimeter
d)
area
55.

Find the area.

a)

97.25 u2

b)

19.125 u2

c)

37.5 u2

d)

95.625 u2

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