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***Test Week 3, 4 and 5 Test***

Total questions: 78

Worksheet time: 9hrs 35mins

Name
Class
Date
1.

A dilation produces a similar figure

a)

True

b)

False

2.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

3.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

4.

A dilation is which of the following:

a)

an enlargement

b)

a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

5.

A dilation Always produces a congruent figure

a)

True

b)

False

6.
A dilation creates a similar figure.
a)
True
b)
False
7.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
8.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
9.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
10.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

11.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

12.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

13.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

14.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

15.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

16.

Sides a and b are called legs.

a)

true

b)

false

17.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

18.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
19.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

a)

True

b)

False

20.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

21.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

22.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
23.
The Pythagorean Theorem is
a2 + b2 + c2
a)
false
b)
true
24.

The Pythagorean Theorem is

c2 = a2 + b2

a)

false

b)

true

25.

What is the hypotenuse of the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

26.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

a)

7

b)

5

c)

11

d)

25

27.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
28.
a)
A
b)
B
c)
C
d)
D
29.
Are the triangles similar?
a)
Yes
b)
No
30.
Find missing side
a)
5
b)
7
c)
9
d)
11
31.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
32.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
33.
Which symbol means "perpendicular"?
a)
∏
b)
∥
c)
∠
d)
⊥
34.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
35.
What is the value of x?
a)
51
b)
49
c)
78
36.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

37.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

38.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
39.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
40.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
41.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
42.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
43.

The triangle sum theorem states that the sum of the interior angles of all triangles equals ________.

a)

100*

b)

180*

c)

90*

d)

360*

44.
Are the triangles similar?
a)
Yes
b)
No
45.

∠1 and ∠9 are classified as:

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate-Interior Angles

d)

Linear Pair

46.

What two angles are vertical angles?

a)

Angle r and angle s

b)

Angle m and angle n

c)

Angle p and angle q

d)

Angle q and angle r

47.

Angle 2 is same-side interior with angle:

a)

8

b)

11

c)

5

d)

3

48.

If m∠n = 113o, then m∠s =

a)

180o

b)

90o

c)

67o

d)

113o

49.

What two angles are alternate-interior angles?

a)

∠3 and ∠5

b)

∠3 and ∠6

c)

∠1 and ∠6

d)

∠5 and ∠8

50.

What is m∠x?

a)

76o

b)

104o

c)

90o

d)

100o

51.

What is the m∠y?

a)

76o

b)

14o

c)

104o

d)

180o

52.

What two angles are alternate-interior angles?

a)

∠p

b)

∠q

c)

∠t

d)

∠n

53.

What two angles are vertical?

a)

∠4

b)

∠6

c)

∠7

d)

∠3

54.

What two angles are corresponding with angle 10?

a)

∠2

b)

∠7

c)

∠9

d)

∠12

55.

If m∠6 = 50o then m∠4 =

a)

50o

b)

90o

c)

130o

d)

360o

56.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
57.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

58.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

59.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

60.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

61.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

62.
What type of triangle is the context of our study of trigonometry?
a)
right triangle
b)
isosceles triangle
c)
scalene triangle
d)
acute triangle
63.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

64.

The length across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

65.

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

a)

20/12

b)

12/20

c)

12/16

d)

16/12

66.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

67.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

68.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

69.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

70.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

71.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

72.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
73.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
74.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
75.
Which one is one of the easy ways to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
76.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
77.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
78.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333

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