Free Printable Semester 2 Review Day 2; Congruence & Similarity

1.

Find the missing angle.

a)

30°

b)

31°

c)

32°

d)

33°

2.

What is the measure of the unlabeled angle of the triangle?

a)

90*

b)

82*

c)

98*

d)

75*

3.

What is the measure of angle b?

a)

198*

b)

56*

c)

63*

d)

36*

4.

Are the triangles similar? Explain.

a)

No, because only one angle of the triangles is congruent.

b)

Yes, because two of the angles are congruent.

c)

No, because only one triangle has a right angle.

d)

Not enough information to determine.

5.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

6.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

7.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

8.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

9.

Are Triangle ABC and Triangle XYZ similar?

a)

No, corresponding angles are not congruent

b)

No, corresponding sides are not proportional

c)

Yes, corresponding angles are congruent

d)

Yes, corresponding sides are proportional

10.

What side corresponds to ED?

a)

TA

b)

NA

c)

TN

d)

RD

11.

Given that triangle, ABC is similar to DEF. That is,

ABC <----> DEF

That means that...

Angle A is (a) angle D.

Angle B is equal to (b) .

(c) is equal to angle F.

Choose from the below words

equal to

angle D

Angle C

Angle A

Angle E

Angle B

12.

Given that triangle, ABC is similar to DEF. That is,

ABC <----> DEF

That means that...

Side AB corresponds to (a)

Side BC corresponds to (b)

Side CA corresponds to (c)

Choose from the below words

side DE

side EF

side FD

13.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

14.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

15.

Which of the following statements is NOT true if ΔJKL ≅ ΔMNO?

a)

OM ≅ LJ

b)

∠N ≅ ∠K

c)

JK ≅ MN

d)

∠L ≅ ∠N

16.

Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?

a)

BC

b)

AB

c)

AC

d)

XY

17.

Are the triangles similar? Explain.

a)

No, because only one angle of the triangles is congruent.

b)

Yes, because two of the angles are congruent.

c)

No, because only one triangle has a right angle.

d)

Not enough information to determine.

18.

What is the scale factor?

a)

1.2

b)

0.83

c)

1.46

d)

0.48

19.

Are these triangles congruent, similar, both, or neither?

a)

Similar

b)

Congruent

c)

Both

d)

Neither

20.

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

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

21.

What does congruent mean?

a)

corresponding sides and angles are congruent

b)

corresponding sides are proportional and corresponding angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

22.

As it relates to geometry, what does it mean for figures to be similar?

a)

corresponding sides are proportional and corresponding angles are congruent

b)

corresponding sides and angles are congruent

c)

angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

d)

neither sides or angles are congruent

23.

The triangles are congruent. Which of the following statements must be true?

a)

∠A ≅ ∠D

b)

∠B ≅ ∠E

c)

AB ≅ DE

d)

AB ≅ EF

24.

Which transformation(s) create(s) congruent figures?

a)

Dilation

b)

Translation, Reflection, Rotation

c)

Dilation and Translation

d)

Dilation and Reflection

25.

Which transformation(s) create(s) similar figures?

a)

Dilation

b)

Translation, Reflection, and Rotation

c)

Translation and Reflection

d)

Reflection and Rotation

26.

Are Triangle ABC and Triangle XYZ similar?

a)

No, corresponding angles are not congruent

b)

No, corresponding sides are not proportional

c)

Yes, corresponding angles are congruent

d)

Yes, corresponding sides are proportional

27.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

28.

Are these triangles similar?

a)

Yes

b)

No, they are congruent

c)

There is not enough information to determine this

d)

No, they are not similar nor congruent

29.

What does congruent mean?

a)

Same shape, different size

b)

Not same shape, or size

c)

Same size, same shape

30.

Which statement is the congruence statement for the 2 triangles?

a)

∆EFG $\equiv$ ∆MLF

b)

∆EFG $\equiv$ ∆MFL

c)

∆EGF $\equiv$ ∆FML

d)

∆GEF $\equiv$ ∆FML

31.

What is ratio of any two corresponding sides?

a)

Scale Factor

b)

Corresponding Sides

c)

Similar Figures

32.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

33.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

34.

What is the similarity statement for the triangle pair?

a)

ΔXYZ is similar to ΔNEW

b)

ΔXZY is similar to ΔNWE

c)

ΔZYX is similar to ΔENW

d)

ΔYZX is similar to ΔNWE

35.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

36.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

37.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

38.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

39.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

40.

If the triangles are similar, find x

a)

90

b)

60

c)

30

d)

15

41.

Given that the two triangles are similar,

find the value of X and Y.

a)

X=2.5 and Y=6.5

b)

X=6.5 and Y=2.5

c)

X=3 and Y=7

d)

X=2 and Y= 5

42.

$If\ \Delta PQR\ is\ similar\ to\ \Delta CIA\ then\ \angle PRQ=.....$

a)

$\angle CAI$

b)

$\angle CIA$

c)

$\angle AIC$

d)

$\angle IAC$

43.

\Delta PQR\ is\ similar\ to\ \Delta CIA.\ Which\ of\ the\ following\ is\ true?

a)

$\frac{PQ}{CI}=\frac{QR}{IA}=\frac{PR}{CA}$

b)

$\frac{PQ}{QR}=\frac{CI}{IA}=\frac{PR}{CI}$

44.

\Delta ABC\ is\ similar\ to\ \Delta PQR.\ fill\ in\ the\ blanks\ to\ complete\ the\ ratios.

\frac{AB}{....}=\frac{....}{QR}

a)

$\frac{AB}{PQ}=\frac{BC}{QR}$

b)

$\frac{AB}{CB}=\frac{PQ}{QR}$

45.

Complete the similarity statement.

\Delta ABC\ is\ similar\ to\ .....

a)

$\Delta PQS$

b)

$\Delta SPQ$

c)

$\Delta QPS$

d)

they are not similar

46.

Complete the similarity statement.

\Delta ABC\ is\ similar\ to\ ......

a)

$\Delta KTJ$

b)

$\Delta JKT$

c)

$\Delta TJK$

d)

they are not similar

47.

$\Delta ABO\ is\ similar\ to\ \Delta DCO$ . Find the value of x and y.

a)

$x=30\degree$ and y = 3 cm

b)

y = 9 cm and $x=30\degree$

c)

$y=30\degree$ and x = 6 cm

48.

$\Delta ADE\ is\ similar\ to\ \Delta ABC.$ Find the values of x and y.

a)

x = 9 cm and y = $70\degree$

b)

x = 6 cm and y = $70\degree$

c)

y = $70\degree$ and x = 2 cm

49.

ABC∼XYZ
Which angles corresponds to ∠A

a)

∠X

b)

∠Y

c)

∠Z

d)

∠B

50.

ABC∼XYZ
Which angles corresponds to ∠B

a)

∠X

b)

∠Y

c)

∠Z

d)

∠A

51.

ABC∼XYZ
Which angles corresponds to ∠C

a)

∠X

b)

∠Y

c)

∠Z

d)

∠A

52.

EFGH∼MATB
Which angles corresponds to ∠E

a)

∠M

b)

∠T

c)

∠B

d)

∠A

53.

EFGH∼MATB
Which angles corresponds to ∠F

a)

∠M

b)

∠T

c)

∠B

d)

∠A

54.

EFGH∼MATB
Which angles corresponds to ∠H

a)

∠M

b)

∠T

c)

∠B

d)

∠A

55.

QRST∼XZWY
Which side corresponds to QR

a)

XZ

b)

ZW

c)

WY

d)

XY

56.

QRST∼XZWY
Which side corresponds to RS

a)

XZ

b)

ZW

c)

WY

d)

XY

57.

What is another name for ∠LMN

a)

∠Bob

b)

∠L

c)

∠M

d)

∠N

58.

QRST∼XZWY
Which side corresponds to QT

a)

XZ

b)

ZW

c)

WY

d)

XY

59.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

60.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

61.

If AB = BC and BC = CD, then CD = AB is an example of what?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Transformative Property

62.

Complete the congruence statement:

a)

CDE

b)

ECD

c)

DCE

d)

CED

63.

Find the value of x:

a)

58.3

b)

1.7

c)

21

d)

18

64.

a)

20

b)

40

c)

60

d)

80

65.

a)

105

b)

75

c)

70

d)

65

66.

a)

2

b)

5

c)

7

67.

FD = ≅

a)

IK

b)

KJ

c)

JI

d)

EF

68.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

69.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

70.

∆ISR ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

71.

x =

a)

90°

b)

65°

c)

25°

72.

x =

a)

60

b)

70

c)

50

d)

25

73.

x =

a)

24

b)

40

c)

32

74.

If ∆PIG ≅ ∆COW, ∠P + ∠G = ?

a)

∠C + ∠W

b)

∠O + ∠W

c)

∠C + ∠O

75.

Which statement is the congruence statement for the 2 triangles?

a)

∆EFG ≅ ∆MLF

b)

∆EFG ≅ ∆MFL

c)

∆EGF ≅ ∆FML

d)

∆GEF ≅ ∆FML

76.

Two shapes that are similar are also congruent.

a)

True

b)

False

77.

Sides in similar figures must be proportional.

a)

True

b)

False

78.

The pair of polygons at the right are congruent. What is the m<J?

a)

45

b)

90

c)

135

d)

145

79.

What does it mean when two figures are 'congruent'?

a)

They are identical - same size, shape

b)

They are parallel

c)

Their internal angles add to 180 degrees

80.

Angles 4 and 8 are...

a)

Corresponding and supplementary

b)

Same side interior and supplementary

c)

Corresponding and congruent

d)

Same side exterior and congruent

Semester 2 Review Day 2; Congruence & Similarity

Total questions: 80

Worksheet time: 2hrs 52mins

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