Free Printable EOC Review Geometry Modules 8-9

1.

Warm-up: What does the scale factor do in a dilation?

a)

Tells you how much the image grows or shrinks

b)

Tells you what the center of dilation is

c)

There's not enough information here to answer this

d)

Nothing, it's unnecessary information

2.

Which scale factors would increase an image?

a)

$\frac{3}{2}$

b)

$\frac{1}{2}$

c)

$3.5$

d)

$\frac{2}{1}$

e)

5

3.

Which scale factors shrink an image?

a)

$0.5$

b)

$\frac{3}{4}$

c)

$1$

d)

$\frac{2}{1}$

e)

$\frac{3}{2}$

4.

What are the properties of dilations?

a)

Changes the size of an object

b)

Changes the shape of an object

c)

Changes one side but not the others

d)

Changes all the sides equally

e)

Changes angle measures

5.

Congruent figures are figures that are the SAME size and the SAME shape.

A dilation produces a congruent figure.

a)

True

b)

False

6.

In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.

Choose from the below words

pre-image

image

enlargement

reduction

spin

flip

7.

Which of the following statements is true about the scale factor (k) for this dilation?

a)

$k>1$

b)

$k=1$

c)

$0<k<1$

8.

In this figure, triangle ABC is the (a) and triangle A'B'C' is the (b) . The scale factor for this dilation is (c) . A(n) (d) occurred.

Choose from the below words

pre-image

image

2

reduction

enlargement

None of the above

1/2

9.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

10.

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

11.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

a)

A'(5,3), B'(6,2), C'(1,-2)

b)

A'(6,0), B'(9,-3), C'(-6,-15)

c)

A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

d)

A'(-1,-3), B'(0,-4), C'(-5,-8)

12.

State if the polygons are similar.

a)

a

b)

b

c)

c

d)

d

13.

State if the polygons are similar.

a)

a

b)

b

c)

c

d)

d

14.

State if the polygons are similar.

a)

a

b)

b

c)

c

d)

d

15.

The polygons in each pair are similar. Find the missing side length.

a)

a

b)

b

c)

c

d)

d

16.

The polygons in each pair are similar. Find the missing side length.

a)

a

b)

b

c)

c

d)

d

17.

Solve for x.

a)

21

b)

14

c)

12

d)

18

18.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

19.

$\Delta EFG\sim\Delta HIG$ Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

20.

$\Delta PQR\sim\Delta DEF$

Which correctly describes the relationship between 2 corresponding sides of the triangles?

a)

b)

c)

d)

21.

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

a)

AA

b)

SSS

c)

SAS

d)

Not similar

22.

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

a)

AA

b)

SSS

c)

SAS

d)

no similar

23.

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

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

24.

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

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

25.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

26.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

27.

Sides in similar figures must be proportional.

a)

True

b)

False

28.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

29.

a)

7

b)

12

c)

6

d)

4

30.

(HINT: plug x into 4x-1)

(a)

31.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

32.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

33.

Find x.

a)

18

b)

21

c)

11.8

34.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

35.

Find the value of x

a)

6.75

b)

48

c)

65

d)

53

36.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

37.

Solve for DC

a)

1.5

b)

17.1

c)

8.4

d)

3.5

38.

Solve for x.

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = 5

39.

Solve for x.

a)

3

b)

6

c)

8

d)

9

40.

Level 1

The Pythagorean Theorem works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

all triangles

41.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

42.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

43.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

44.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

45.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

46.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

47.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

48.

Choose the correct values for x and y in the right triangle.

a)

$x=12$

b)

$x=12\sqrt{2}$

c)

$y\ =\ 24$

d)

$y=12\sqrt{2}$

49.

Choose the correct values for x and y in the right triangle.

a)

$x=18$

b)

$x=9\sqrt{2}$

c)

$y\ =\ 9$

d)

$y=9\sqrt{2}$

50.

Choose the correct values for x and y in the right triangle.

a)

$x=3$

b)

$x=3\sqrt{2}$

c)

$y\ =\ 6$

d)

$y=6\sqrt{2}$

51.

Choose the correct values for x and y in the right triangle.

a)

$x=4\sqrt{3}$

b)

$x=4$

c)

$y\ =\ 8\sqrt{3}$

d)

$y=4\sqrt{6}$

52.

Choose the correct values for x and y in the right triangle.

a)

$x=3\sqrt{3}$

b)

$x=6$

c)

$y\ =\ 3\sqrt{3}$

d)

$y=6$

53.

Choose the correct values for x and y in the right triangle.

a)

$x=\frac{5\sqrt{6}}{2}$

b)

$x=5$

c)

$y\ =\ 10$

d)

$y=10\sqrt{3}$

54.

Choose the correct values for x and y in the right triangle.

a)

$x=\frac{11\sqrt{3}}{3}$

b)

$x=11$

c)

$y\ =\ 22$

d)

$y=11\sqrt{3}$

55.

Choose the correct values for x and y in the right triangle.

a)

$x=6\sqrt{3}$

b)

$x=9$

c)

$y\ =\ 12\sqrt{3}$

d)

$y=9\sqrt{3}$

56.

Choose the correct values for x and y in the right triangle.

a)

$x=6\sqrt{3}$

b)

$x=9$

c)

$y\ =\ 3\sqrt{6}$

d)

$y=6\sqrt{3}$

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

What is an easy way to remember trigonometric ratios?

a)

SAH COH TAO

b)

SOH CAH TOA

c)

SAH COH TOA

d)

SOH CAH TOH

61.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 38\degree\ =\ \frac{h}{15}$

b)

$Sin\ 38\degree\ =\ \frac{15}{h}$

c)

$Cos\ 38\degree\ =\ \frac{15}{h}$

d)

$Tan\ 38\degree=\ \frac{h}{15}$

62.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 29\degree=\frac{x}{91}$

b)

$Tan\ 29\degree\ =\ \frac{91}{x}$

c)

$Cos\ 29\degree\ =\ \frac{x}{91}$

d)

$Tan\ 29\degree=\ \frac{x}{91}$

63.

Identify the trig ratio that may be used to find the marked unknown angle.

a)

$Sin\ y\degree=\frac{12}{18}$

b)

$Cos\ y\degree\ =\ \frac{18}{12}$

c)

$Cos\ y\degree\ =\ \frac{12}{18}$

d)

$Tan\ y\degree=\ \frac{12}{18}$

64.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

65.

Use trig ratios (SOH CAH TOA) to solve for x

a)

5.0

b)

6.1

c)

7.7

d)

6.4

66.

Find the measure of the missing angle to the nearest degree.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

67.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

68.

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

69.

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 closest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

70.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

71.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

72.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

73.

Find AC

a)

12

b)

10

c)

23

d)

14

74.

Find BC

a)

A

b)

B

c)

C

d)

D

75.

Find the missing side.

a)

15.9 in.

b)

22.8 in.

c)

19.2 in.

d)

521.1 in.

76.

Use Law of Cosines to find angle T

a)

62.2°

b)

53.1°

c)

59.5°

d)

64.7°

77.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

78.

Find the area of the triangle to one decimal place.

(a)

79.

Find the area of the triangle

a)

24.0 cm²

b)

47.9 cm²

c)

19.7 cm²

d)

23.967 cm²

80.

Find the area of ABC to the nearest tenth, if necessary.

a)

72.4cm²

b)

71.5cm²

c)

82.1cm²

d)

79.4cm²

EOC Review Geometry Modules 8-9

Total questions: 80

Worksheet time: 5hrs 57mins

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