Free Printable congruent -similar figures

1.

All corresponding angles in similar figures are congruent.

a)

True

b)

False

2.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

3.

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

4.

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

5.

Set up and solve a proportion to find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

6.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Set up and solve a proportion to find the length of the blueprint.

a)

7 in

b)

9 in

c)

12 in

d)

14 in

7.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

8.

Which angle corresponds with angle A?

a)

D

b)

F

c)

C

d)

E

9.

The polygons are similar. Set up and solve a proportion to find the missing side length.(x)

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

10.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

11.

Sides that are in the same relative position are called...

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

12.

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? Write and solve a proportion.

a)

72 in

b)

60 in

c)

62 in

d)

80 in

13.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

14.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

15.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

16.

Are these shapes congruent?

a)

Yes

b)

No

17.

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.

18.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

19.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

20.

All angles in similar figures are congruent.

a)

True

b)

False

21.

Congruent shapes have the same...

a)

Size

b)

Color

c)

Shape

d)

Rotation

22.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

23.

Are these shapes congruent?

a)

Yes

b)

No

24.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

25.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

26.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

27.

All angles in similar figures are congruent.

a)

True

b)

False

28.

Sides in similar figures must be proportional.

a)

True

b)

False

29.

Are triangle ABC and triangle DEF similar?

a)

No

b)

Yes

30.

Are the triangles similar?

a)

Yes

b)

No

31.

Are the triangles similar?

a)

Yes

b)

No

32.

Are the triangles similar?

a)

Yes

b)

No

33.

Are these shapes congruent or similar?

a)

Congruent

b)

Similar

34.

Similar shapes have the same...

a)

Size

b)

Color

c)

Shape

d)

Rotation

35.

Are these shapes congruent or similar?

a)

Congruent

b)

Similar

36.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

37.

These two shapes are ____________?

a)

Congruent

b)

Similar

c)

Neither

38.

Are these shapes congruent or similar?

a)

Congruent

b)

Similar

39.

These two shapes are ____________?

a)

Congruent

b)

Similar

c)

Neither

40.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

41.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

42.

All angles in similar figures are congruent.

a)

True

b)

False

43.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

44.

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

45.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

46.

Sides in similar figures must be proportional.

a)

True

b)

False

47.

All angles in similar figures are congruent (equal).

a)

True

b)

False

48.

One corresponding set of sides are (a)

Choose from the below words

AB and DE

AB and EF

B and D

EF and DE

49.

In order for two polygons to be similar, what must be true about the sides and angles?

a)

All sides and angles are congruent

b)

All sides and angles are proportional

c)

Sides are congruent, Angles are proportional

d)

Sides and proportional, Angles are congruent

50.

The following triangles are similar.
AC ∼

a)

DF

b)

AB

c)

ED

d)

FC

51.

a)

TQ AND BE

b)

TS AND CD

c)

RS AND BC

d)

QR AND CD

52.

Correctly match the statements about similar figures.

a)

Corresponding means...

1.

matching

b)

Corresponding angles are...

2.

congruent

c)

Corresponding sides are...

3.

proportional

d)

Two figures with the same...

4.

shape

e)

Not the same...

5.

size

53.

Rectangle ABCD and rectangle EFGD are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{DE}=\frac{BC}{FG}$

b)

$\frac{AB}{EF}=\frac{BC}{FG}$

c)

$\frac{AB}{CD}=\frac{DE}{GD}$

d)

$\frac{AD}{AB}=\frac{DE}{FG}$

54.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{WX}=\frac{BC}{XY}$

b)

$\frac{AB}{BC}=\frac{WY}{WX}$

c)

$\frac{AB}{WY}=\frac{BC}{XY}$

d)

$\frac{AC}{XY}=\frac{BC}{WX}$

55.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

56.

Matching angles are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Angles

57.

a)

205

b)

105

c)

230

d)

135

58.

a)

28.8 feet

b)

500 feet

c)

45 feet

d)

0.002 feet

59.

Complete each proportion.

AB / AM = ? / AD

a)

BC

b)

AC

c)

MD

d)

MC

60.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

61.

What is the scale factor from ΔABC to ΔHGF?

a)

1/9=.111

b)

1/6=.167

c)

1/4=.25

d)

6

62.

If the two triangles are similar, what is the measurement of x?

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

63.

The two given triangles are similar, what is the value of the missing side?

a)

5

b)

7

c)

9

d)

11

64.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

65.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

66.

Find missing side

a)

5

b)

7

c)

9

d)

11

67.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

68.

Find side length X.

a)

30

b)

25

c)

15

d)

40

69.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

70.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

71.

a)

6

b)

4

c)

12

d)

16

72.

a)

12

b)

14

c)

16

d)

18

73.

a)

4

b)

5

c)

6

d)

8

74.

a)

$\frac{2}{3}$

b)

$\frac{3}{5}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

75.

What is the relationship between the triangles?

a)

Similar

b)

Congruent

c)

Neither

congruent -similar figures

Total questions: 75

Worksheet time: 3hrs 2mins

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