Free Printable Final Geometry Practice

1.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

2.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

3.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

4.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

5.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

6.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

7.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

8.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

9.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

10.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

11.

What would the new point be if you rotated the point (4,9) 180°about the origin?

a)

a. (-9,4)

b)

b. (-4,-9)

c)

c. ( 9, -4)

d)

d. (4,9)

12.

What would the new point be if you rotated the point (3,-5) 270° clockwise?

a)

a. (-3,-5)

b)

b. (-5,-3)

c)

c. (5,3)

13.

Which transformation is performed by turning the preimage around a certain point on the graph?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

14.

Which transformation is the result of moving or sliding the preimage vertically and/or horizontally?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

15.

Identify the transformation done when the preimage is "flipped" over a given line.

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

16.

Which transformation is the result of the preimage growing or shrinking in size?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

17.

Which 3 transformations preserve congruency between the preimage and the image?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

18.

Identify the transformation performed?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

19.

Identify the transformation performed?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

20.

Identify the transformation performed?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

21.

What is the scale factor of a point if it changes from (3,13) to (21,91)?

(a)

22.

What is the scale factor of a point if it changes from S(12,18) to S’(4,6)?

(a)

23.

When you dilate, you ______ x and y by a number.

a)

Multiply

b)

Add

c)

Subtract

d)

Divide

24.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

25.

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

a)

True

b)

False

26.

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

27.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

28.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

29.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

30.

a)

32.58

b)

57.42

c)

31.44

d)

59.02

31.

a)

19.7

b)

18.3

c)

27.2

d)

18.5

32.

Find the measure of the indicated measure to the nearest degree (whole number).

a)

22°

b)

68°

c)

21°

d)

66°

33.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

34.

a)

32/40

b)

40/24

c)

32/24

d)

24/32

35.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

36.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

37.

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground with a rope that is 125 feet long. Which of the options below is the angle of elevation, E, created by the tether rope? Round to the nearest tenth.

a)

36.9°

b)

53.1°

c)

31.0°

d)

59.0°

38.

What is the value of f?

a)

20

b)

15

c)

25

d)

50

39.

Determine the width of the river.

a)

25 m

b)

100 m

c)

80 m

40.

What is the correct value of y?

a)

6

b)

10.82

c)

7.2

d)

52

41.

solve for x

a)

15

b)

16

c)

17

d)

18

42.

solve for x

a)

0

b)

4

c)

10

d)

16

43.

solve for x

a)

10

b)

12

c)

14

d)

16

44.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

45.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

46.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

47.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

48.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

49.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

50.

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?

51.

Solve for x.

a)

10

b)

11.3

c)

12.0

d)

15.0

52.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

53.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

54.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

55.

Solve for x.

a)

30°

b)

45°

c)

60°

d)

90°

56.

In the Twelve Days of Christmas, how many Lords are leaping?

a)

10

b)

11

c)

9

d)

8

57.

In the Twelve Days of Christmas, how many maids are milking?

a)

8

b)

7

c)

9

d)

10

58.

Diamond is playing a game. In the game she has to spin a spinner that is divided into 4 equal sections of green, red, blue, and yellow. What is the probability that on her first spin she will land on green and then red on her second spin?

a)

1/8

b)

1/16

c)

1/4

d)

1/2

59.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

a)

1/2

b)

1/4

c)

1/6

d)

1/8

60.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter that is not “A”?

a)

2/7

b)

5/7

c)

5/49

d)

10/49

61.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

1/3

b)

30%

c)

3

d)

1/10

62.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

63.

A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys?

a)

1/6

b)

7/17

c)

3/8

d)

13/25

64.

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

a)

9/49

b)

4/125

c)

1/10

d)

1/30

65.

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

a)

3/5

b)

3/4

c)

3/20

d)

2/5

66.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

67.

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

a)

4/121

b)

8/121

c)

3/121

d)

6/121

68.

What is the probability of spinning red?

a)

0

b)

1/2

c)

3/4

d)

1

69.

Probability can be between what two numbers?

a)

10 and 20

b)

0 and 100

c)

0 and 1

d)

All Numbers are possible

70.

What is the probability of spinning an even number?

a)

3/50

b)

3/100

c)

1/2

d)

3/4

71.

What is the probability of flipping a coin and getting tails?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

72.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

73.

Find the measure of the indicated angle.

a)

$30\degree$

b)

$25\degree$

c)

$155\degree$

d)

$65\degree$

74.

Find the measure of the indicated angle.

a)

$45\degree$

b)

$33\degree$

c)

$123\degree$

d)

$147\degree$

75.

Find the measure of the indicated angle.

a)

$56\degree$

b)

$118\degree$

c)

$28\degree$

d)

$62\degree$

76.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

77.

Find the value of k.

a)

$66$

b)

$57$

c)

$114$

d)

$22$

78.

Solve for x.

a)

16

b)

11

c)

50

d)

6

79.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

80.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

81.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

82.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

83.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

84.

What angle pair is Angle 1 & 2? What is their relationship?

a)

Linear Pair

b)

Vertical Angles

c)

Alternate Exterior Angles

d)

Congruent

e)

Supplementary

85.

What angle pair is Angle 4 & 5? What is their relationship?

a)

Alternate Interior Angles

b)

Linear Pair

c)

Consecutive Interior Angles

d)

Congruent

e)

Supplementary

86.

What angle pair is Angle 4 & 8? What is their relationship?

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Congruent

e)

Supplementary

87.

If Angle 1= 45 degrees, what is the measurement of Angle 7?

a)

45 degrees

b)

90 degrees

c)

180 degrees

d)

There is no relationship between Angle 1 and 7.

88.

If Angle 1 = 30 degrees, what is the measurement of Angle 3?

a)

30 degrees

b)

60 degrees

c)

150 degrees

89.

If Angle 1 = 30 degrees, what is the measurement of Angle 7?

a)

30 degrees

b)

60 degrees

c)

150 degrees

90.

If Angle 4 = 30 degrees, what is the measurement of Angle 5?

a)

30 degrees

b)

60 degrees

c)

150 degrees

91.

Solve for "x."

a)

x = 26

b)

x = -26

c)

x = 23

92.

Solve for "x"

a)

x = 10

b)

x = 12

c)

x = 7

93.

If Angle ABC = 160 degrees and Angle ABD = 2x, what does Angle DBC equal?

a)

40 degrees

b)

80 degrees

94.

What is the value of "z"?

a)

108 degrees

b)

18 degrees

c)

72 degrees

95.

If Angle 7 = 55 degrees, what is Angle 4? Why?

a)

125 degrees

b)

55 degrees

c)

Not possible to answer.

d)

Angle 7 and Angle 4 are Alternate Interior Angles.

e)

Angle 7 and Angle 4 are Consecutive Interior Angles.

96.

How would you solve for "x"?

a)

9x - 2 = 5x + 54

b)

9x + 2 = 10y +6

c)

9x - 2 + 5x + 54 = 180

97.

If Angle 1 = 30 degrees, what is Angle 4 and Angle 5?

a)

Angle 4= 150 degrees, Angle 5= 30 degrees

b)

Angle 4= 150 degrees, Angle 5= 150 degrees

c)

Angle 4= 30 degrees, Angle 5= 150 degrees

98.

What types of angles are ∠1 and ∠4?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

99.

What types of angles are ∠1 and ∠3?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Linear Pair

d)

Vertical angles

100.

What types of angles are ∠1 and ∠5?

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Linear Pair

d)

Vertical angles

101.

What types of angles are ∠1 and ∠8?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

102.

What types of angles are ∠4 and ∠5?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Vertical angles

103.

What types of angles are ∠3 and ∠5?

a)

Alternate Interior Angles

b)

Same-Side Interior Angles

c)

Corresponding Angles

d)

Vertical angles

104.

What types of angles are ∠2 and ∠8?

a)

Same-Side Exterior Angles

b)

Same-Side Interior Angles

c)

Alternate Exterior Angles

d)

Vertical angles

105.

Which of the following angles is NOT congruent to ∠6?

a)

∠2

b)

∠7

c)

∠1

d)

∠3

106.

Which of the following types of angles are congruent? (Select ALL the answers that apply.)

a)

Corresponding Angles

b)

Alternate Exterior Angles

c)

Linear Pair

d)

Vertical Angles

107.

Which of the following types of angles are supplementary? (Select ALL the answers that apply.)

a)

Same-Side Exterior Angles

b)

Alternate Exterior Angles

c)

Linear Pair

d)

Alternate Interior Angles

108.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

109.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

110.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

111.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

112.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

113.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

114.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

115.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

116.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

117.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

118.

Will these side lengths form a triangle?

a)

yes

b)

no

119.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

120.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

121.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

more than 3 but less than 11

b)

more than 11 but less than 3

c)

less than 3 but more than 11

122.

Find the area of the figure

a)

30 cm²

b)

44 cm²

c)

88 cm²

d)

22 cm²

123.

Find the Area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

124.

Find the Area.

a)

91 ft²

b)

77 ft²

c)

78 ft²

d)

105 ft²

125.

Find the area of a trapezoid with bases of 3 in and 7 in, with a height of 6 in?

a)

60 in²

b)

32 in²

c)

30 in²

d)

36 in²

126.

Find the area of a trapezoid with bases of 6 feet and 10 feet, and with a height of 6 feet?

a)

60 feet²

b)

36 feet²

c)

32 feet²

d)

48 feet²

127.

What is this polygon called?

a)

Parallel

b)

Triangle

c)

Trapezoid

d)

Square

128.

What is the formula used to find the area of this shape? *This symbol: / means divided by

a)

A= b x h/2

b)

A= s²

c)

A= l x w

d)

A= (b1 +b2)h/ 2

129.

a)

6 in

b)

9 in

c)

6 in²

d)

9 in²

130.

Find the area of this trapezoid.

a)

26 ft²

b)

20 ft²

c)

52 ft²

d)

40 ft²

131.

a)

108 ft²

b)

54 ft²

c)

42 ft²

d)

63 ft²

132.

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

133.

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

134.

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.

135.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

136.

True/False: Similarity is the same as congruent

a)

true

b)

false

137.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

138.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

139.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

140.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

141.

True/False: All angles in similar shapes are congruent

a)

True

b)

False

142.

Corresponding sides of similar shapes are...

a)

Congruent

b)

Proportional

c)

Equal

d)

Doesn't matter

143.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

144.

a)

6

b)

4

c)

12

d)

16

145.

Which statement is true?

a)

All squares are similar

b)

All hexagons are similar

c)

All scalene triangles are similar

d)

All similar figures are the same shape and size

146.

a)

12

b)

14

c)

16

d)

18

147.

a)

15

b)

18

c)

20

d)

25

148.

a)

4

b)

5

c)

6

d)

8

149.

A student who is 4 feet tall stands beside a tree. The tree has a shadow that is 12 feet long at the same time that the shadow of the student is 6 feet long. Find the height of the tree?

a)

6

b)

8

c)

10

d)

12

150.

a)

$\frac{2}{3}$

b)

$\frac{3}{5}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

151.

Find x.

a)

6.6

b)

4.5

c)

5.4

d)

7.2

152.

a)

4

b)

6

c)

8

d)

10

153.

a)

26

b)

22

c)

12

d)

15

Final Geometry Practice

Total questions: 153

Worksheet time: 4hrs 16mins

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