Free Printable SS Geometry

1.

Solve the proportion

a)

6

b)

10

c)

16

d)

12

e)

18

2.

Find the value of x

a)

3

b)

10

c)

12

d)

15

e)

5

3.

Which of the following is not true, given the true proportion?

a)

b)

c)

d)

4.

Find the value of x.

a)

7

b)

8

c)

7.5

d)

10

e)

9.5

5.

Find the value of x.

a)

18

b)

19

c)

16

d)

27

e)

26

6.

Find the value of x.

a)

5

b)

7

c)

8

d)

9

e)

6

7.

Find the value of x.

a)

8

b)

4

c)

10

d)

12

e)

9

8.

Find the value of x.

a)

16

b)

24

c)

21

d)

14

e)

15

9.

The angles of a triangle are in the ratio 1:2:9. What is the measure of each of the angles?

a)

15, 30 and 135

b)

10, 20 and 90

c)

20, 40, and 180

d)

30, 60 and 90

e)

20, 40 and 120

10.

Find the value of x.

a)

13

b)

17

c)

20

d)

15

e)

16

11.

How are the triangles similar?

a)

AA

b)

SSS

c)

SAS

d)

They are not similar

12.

How are the triangles similar?

a)

SSS

b)

SAS

c)

AA

d)

The triangles are not similar.

13.

How are the triangles are similar?

a)

SAS

b)

SSS

c)

AA

d)

The triangles are not similar

14.

Write a similarity statement.

a)

△ABC ∼ △MNL

b)

△ABC ∼ △LMN

c)

△ABC ∼ △NML

d)

△ABC ∼ △LNM

e)

△ABC ∼ △MLN

15.

The perimeter of a rectangle is 36. The length and width are in a ratio of 4:5. What are the dimensions of the rectangle?

a)

8 by 10

b)

16 by 20

c)

10 by 26

d)

3 by 15

e)

6 by 12

16.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

17.

Find missing side

a)

5

b)

7

c)

9

d)

11

18.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

19.

Are the triangles similar?

a)

Yes

b)

No

20.

Are the triangles similar?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AA

d)

No

21.

Are the triangles similar?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AA

d)

No

22.

Are the triangles similar?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AA

d)

No

23.

What is the scale factor from the small shape to the big shape?

a)

1/2

b)

7/3

c)

2

d)

10/3

24.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

25.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

26.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

27.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

48

b)

9

c)

60

d)

100

28.

What is the value of y?

a)

2

b)

√3

c)

4

d)

√5

29.

Find the value of x.

a)

0

b)

48

c)

4.9

d)

24

30.

Find the geometric mean of 12 and 27

a)

18

b)

20

c)

19.5

d)

13.5

31.

Similar figures are congruent.

a)

Always

b)

Sometimes

c)

Never

32.

An equilateral triangle is similar to a scalene triangle.

a)

Always

b)

Sometimes

c)

Never

33.

Find the coordinates of pt. P

a)

$\left(0,12\right)$

b)

$\left(12,0\right)$

c)

$\left(5\frac{1}{3},\ 0\right)$

d)

$\left(0,\ 5\frac{1}{3}\right)$

34.

$Find\ the\ value\ of\ x$

a)

$22.4$

b)

$30$

c)

$2\ \frac{6}{7}$

d)

$35$

35.

$Find\ the\ value\ of\ y$

a)

$94.5$

b)

$21$

c)

$7\ \frac{5}{7}$

d)

$6$

36.

Given:\ \ a\ \parallel\ b\ \parallel\ c\ \parallel\ d\ ,\ KP\ =\ 24

Find:\ KM

a)

$15$

b)

$8$

c)

$20$

d)

$7\frac{1}{7}\$

37.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

38.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

39.

Solve for x.

a)

21

b)

14

c)

12

d)

18

40.

Solve for x.

a)

8

b)

6

c)

10

d)

12

41.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

42.

Sides in similar figures must be proportional.

a)

True

b)

False

43.

Find the scale factor.

a)

4:1

b)

1:3

c)

2:1

d)

7:3

44.

Line CB corresponds to...

a)

EF

b)

HE

c)

GF

d)

HG

45.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

yellow

d)

obtuse

46.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

47.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

48.

What is the correct value for x?

a)

x = 3

b)

x = 5

c)

x = 7

d)

x = 9

49.

Given

\Delta JKL\cong\Delta XYZ

,

\overline{JK}\ \cong\ ?

a)

$\overline{YZ}$

b)

$\overline{XZ}$

c)

$\overline{XY}$

d)

none of the above

50.

Given

\Delta JKL\cong\Delta XYZ

,

\angle K\ \cong\ ?

a)

$\angle X$

b)

$\angle Y$

c)

$\angle Z$

d)

none of the above

51.

Which is true?

a)

$\angle A\cong\angle D$

b)

$\angle B\cong\angle F$

c)

$\angle C\cong\angle E$

d)

$\angle A\cong\angle F$

52.

Given

\Delta CDE\cong\Delta FGH

which is true?

a)

$\overline{DE}\cong\overline{FG}$

b)

$\overline{CE}\cong\overline{FH}$

c)

$\overline{CD}\cong\overline{GH}$

d)

$\overline{DE}\cong\overline{FH}$

53.

Given

\Delta CDE\cong\Delta FGH

which is true?

a)

$\angle C\cong\angle H$

b)

$\angle D\cong\angle G$

c)

$\angle E\cong\angle F$

d)

$\angle D\cong\angle F$

54.

A dilation produces a similar figure

a)

True

b)

False

55.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

SS Geometry - CHAPTER 8

Total questions: 55

Worksheet time: 2hrs 57mins

Similar Resources on Wayground