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Diff Geo Ch. 4 Practice Game

Total questions: 84

Worksheet time: 4hrs 24mins

Name
Class
Date
1.

Locate the Opposite side of angle A.

a)

Side c

b)

side b

c)

side a

2.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
3.
What information do you need to use the tangent ratio?
a)
an angle and a side opposite and adjecent
b)
two sides
c)
one angle and the hypotenuse
d)
one angle and the opposite and hypotenuse
4.
a)
20
b)
5.9
c)
33
d)
42
5.

Solve for missing angle (?)

a)

A

b)

B

c)

C

d)

D

6.

Solve for missing angle (?)

a)

A

b)

B

c)

C

d)

D

7.

Solve for x

a)

A

b)

B

c)

C

d)

D

8.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
9.

What is the tangent ratio for theta?

a)

tan(θ) = o/a

b)

tan(θ) = a/o

c)

tan(θ) = o/h

d)

tan(θ) = a/h

10.

Solve for the x in the diagram.

a)

0.02

b)

4.2

c)

22.5

d)

15.9

11.

Solve for the missing angle.

a)

15.5

b)

16.9

c)

18.5

d)

17.7

12.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
13.

A dilation produces a congruent figure

a)

True

b)

False

14.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
15.
Find the missing length.
a)
4
b)
10
c)
8
d)
12
16.
What side in triangle DEF, corresponds with AB in triangle ABC? 
a)
BC
b)
FE
c)
DE
d)
FD
17.
Solve for X.  The triangles are similar. 
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
18.
Are the triangles similar?
a)
Yes
b)
No
19.
Are the triangles similar?
a)
Yes
b)
No
20.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
21.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

22.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

23.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, AA

d)

Not similar.

24.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Not similar

25.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

26.

Which figure is similar?

a)

A

b)

B

c)

C

d)

D

27.

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

a)

The area will be half as big.

b)

The area will be twice as large.

c)

The area will be 4 times larger.

d)

The area will be 8 times larger.

e)

The area will not change.

28.

The original area of a rectangle is 25cm2 , if we enlarge it by a scale factor of 6 what is the new area?

a)

150

b)

900

c)

5400

29.

If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?

a)

4

b)

2

c)

40

d)

20

30.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
31.

How does scale factor change the perimeter?

a)

by the scale factor

b)

by the scale factor squared

c)

by the scale factor cubed

32.
Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
33.
Solve for x.
a)
16
b)
11
c)
50
d)
6
34.

Find x

a)

52 degrees

b)

31 degrees

c)

103 degrees

d)

45 degrees

35.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
36.

Find x

a)

15 degrees

b)

12 degrees

c)

24 degrees

d)

10 degrees

37.

Solve for x:

a)

x = -9

b)

x = 9

c)

x = 0

d)

x = 180

38.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

39.

Identify the angle relationship

a)

Corresponding

b)

Alternate Interior

c)

Consecutive Interior

d)

Linear Pair

40.

Identify the angle relationship.

a)

Vertical Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Corresponding Angles

41.

Identify the angle relationship.

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Alternate Exterior Angles

42.

Find the value of x

(a)  

43.
What is the value of x?
a)
38
b)
10
c)
50
d)
170
44.
What is the relationship between angles 2 and 7?
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Supplementary
45.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
46.

What is the angle relationship?

a)

Alternate Interior

b)

Corresponding

c)

Same Side Interior

d)

Same Side Exterior

47.

The angles are

a)

Congruent

b)

Supplementary

48.

P (yellow or purple shirt) = ___

a)

2/5

b)

4/20

c)

0

d)

8/20

49.

P (red shirt with jeans) = ___

a)

1/5

b)

4/20

c)

0

d)

1/20

50.
Based on the area model, what percent is left handed and has a sibling?
a)
8%
b)
72%
c)
2%
d)
18%
51.
Based on the area model, what percent is left handed and does not have a sibling?
a)
8%
b)
72%
c)
2%
d)
18%
52.
Based on the area model, what percent is not left handed and has a sibling?
a)
8%
b)
72%
c)
2%
d)
18%
53.
Based on the area model, what percent is not left handed and does not have a sibling?
a)
8%
b)
72%
c)
2%
d)
18%
54.
40% of students in a school wore blue on a Spirit Day. If two students are randomly selected, what is most likely the probability that both students will not be wearing blue?
a)
16%
b)
36%
c)
40%
d)
60%
55.

A standard die is rolled twice. Find the probability of rolling an odd number two times in a row.

P (odd both times)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

56.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

57.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
58.
What is the range of values of for a triangle's third side given side measures of 4 and 12?
a)
between 8 and 16
b)
less than 4, greater than 12
c)
between 4 and 12
59.

State if the three numbers can be measures of the sides of a triangle.
8,10,208,10,20  

a)

Yes

b)

No

60.
a)

A

b)

B

c)

C

d)

D

61.

What creature gave the tail feather that makes up the core of both Harry's wand and Lord Voldemort's?

a)

Fawkes the phoenix

b)

Hedwig the snowy owl

c)

Buckbeak the hippogriff

d)

An unnamed thestral

62.

Given that there was no peanut butter, what is the probability that they were not brownies?

a)

0.88

b)

0.58

c)

0.05

d)

0.12

63.

What is the probability that the dessert is brownies, knowing that the dessert has peanut butter?

a)

0.98

b)

0.02

c)

0.58

d)

1.58

64.

Given that Sam is the coach today, what is the probability of being goalie?

a)

0.5

b)

0.3

c)

0.25

d)

0.12

65.

What is the probability that a customer will not order Poached Eggs and Ham and Italian Toast for their sandwich?

a)

96.7%

b)

0.9802%

c)

98.02%

d)

0.967%

66.

What is the probability of at least one candle being damaged?

a)

0.18

b)

0.36

c)

0.19

d)

0.97

67.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
68.
What order of rotation and angle of rotation does the picture have?
a)
Order = 0,    360⁰
b)
Order = 1,    360⁰
c)
Order = 2,    180⁰
d)
Order = 3,    120⁰
69.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
70.

5(4x  2) = 2(3 +6x)-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)  

a)

x = 2x\ =\ 2  

b)

x = 8x\ =\ 8  

c)

x = 2x\ =\ -2  

d)

x = 8x\ =\ -8  

71.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

72.
What is the slope of a line perpendicular to a line with slope -6/?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
73.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

74.

Solve the equation.

−(1+ 7x ) − 6(−7 − x ) = 36

a)

x = 56-\frac{5}{6}  

b)

x = -7

c)

x = 13

d)

x = 5

75.

Solve the equation.

−4k + 2(5k − 6) = −3k − 39

a)

k = 1

b)

k = 12

c)

k = 6

d)

k = -3

e)

k = -10

76.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
77.
Find the product:
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
78.
Find x. 
a)
46.1
b)
4.90
c)
16.4
d)
26.9
79.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
80.

Solve for x

a)

A

b)

B

c)

C

d)

D

81.
Find the mistake
a)
tan 68 should be cos 68
b)
there is no mistake
c)
they should have divided 
d)
x/14 should be 14/x
82.
What side does x represent?
a)
hypotenuse
b)
right angle
c)
adjacent
d)
opposite
83.

Solve for x° using inverse tangent.

a)

30°

b)

36.9°

c)

27.6°

d)

65.2°

84.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?