Free Printable IM2 - Ch. 2 Review

1.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

2.

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

a)

½

b)

¼

c)

4

d)

2

3.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

4.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

5.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

6.

A dilation produces a congruent figure

a)

True

b)

False

7.

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

a)

True

b)

False

8.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

9.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) --> (1/3x, 1/3y)

b)

(x, y) --> (-3x, -3y)

c)

(x, y) --> (x + 3, y + 3)

d)

(x, y) --> (3x, 3y)

10.

How do you write the algebraic notation when the scale factor is 1/2?

a)

(x, y) → (2x, 2y)

b)

(x, y) → (1/2x, 1/2y)

c)

(x, y) → (-2x, -2y)

d)

(x, y) → (2x, 1/2y)

11.

Which of the following is the algebraic representation for a dilation?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

12.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

13.

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation

14.

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

a)

G' (5,3)

b)

G' (20,12)

c)

G' (-20,-12)

d)

G' (-5,-3)

15.

Similar figures have the same ______ but different ______.

a)

measure; shapes

b)

sizes; shapes

c)

value; measures

d)

shape; sizes

16.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

17.

If your SF = 0.8, what type of dilation is it?

a)

Reduction

b)

Enlargement

18.

If your SF = 2.5, what type of dilation is it?

a)

Reduction

b)

Enlargement

19.

If your SF = 6/5, what type of dilation is it?

a)

Reduction

b)

Enlargement

20.

A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?

a)

2.5

b)

1/2.5

c)

This is not a dilation

d)

The scale factor cannot be determined

21.

What angle pair is represented?

a)

Straight

b)

Corresponding

c)

Alternate Exterior

d)

Vertical

22.

What angle pair is represented?

a)

Corresponding

b)

Same Side Exterior

c)

Same Side Interior

d)

Alternate Exterior

23.

What angle pair is represented?

a)

Vertical

b)

Same Side Interior

c)

Corresponding

d)

Alternate Exterior

24.

What angle pair is represented?

a)

Straight

b)

Alternate Exterior

c)

Vertical

d)

Same Side Interior

25.

What angle pair is represented?

a)

Alternate Exterior

b)

Same Side Exterior

c)

Vertical

d)

Corresponding

26.

What angle pair is represented?

a)

Same Side Exterior

b)

Vertical

c)

Straight

d)

Corresponding

27.

What angle pair is represented?

a)

Same Side Exterior

b)

Vertical

c)

Alternate Exterior

d)

Straight

28.

What angle pair is represented?

a)

Alternate Exterior

b)

Same Side Exterior

c)

Alternate Interior

d)

Same Side Interior

29.

a)

Alternate Exterior

b)

Same Side Interior

c)

Straight

d)

Same Side Exterior

30.

What angle pair is represented?

a)

Corresponding

b)

Alternate Exterior

c)

Vertical

d)

Alternate Interior

31.

What angle pair is represented?

a)

Same Side Exterior

b)

Same Side Interior

c)

Alternate Interior

d)

Straight

32.

What angle pair is represented?

a)

Vertical

b)

Alternate Interior

c)

Straight

d)

Corresponding

33.

What angle pair is represented?

a)

Corresponding

b)

Straight

c)

Vertical

d)

Alternate Interior

34.

What angle pair is represented?

a)

Vertical

b)

Same Side Interior

c)

Same Side Exterior

d)

Alternate Exterior

35.

Solve for x.

a)

118

b)

62

c)

180

d)

162

36.

Solve for X.

a)

108

b)

72

c)

180

d)

88

37.

Solve for X.

a)

122

b)

180

c)

58

d)

42

38.

Solve for X.

a)

74

b)

92

c)

90

d)

106

39.

Solve for X.

a)

60

b)

40

c)

180

d)

120

40.

a)

70

b)

110

c)

90

d)

170

41.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

42.

ΔLMO ≅ _______ by ______

a)

ΔNOM , SSS

b)

ΔMON , SSS

c)

ΔNOM , SAS

d)

Cannot Be Determined

43.

ΔWXZ ≅ Δ_____ by _____

a)

ΔWXY , SAS

b)

ΔWXY , ASA

c)

ΔWZY , SAS

d)

Cannot Be Determined

44.

ΔEDC ≅ Δ_____ by _____

a)

ΔEDB , SSS

b)

ΔEBC , SSS

c)

ΔEBC , AAS

d)

Cannot Be Determined

45.

ΔABE ≅ Δ_____ by _____

a)

ΔCDE , ASA

b)

ΔEDC , AAS

c)

ΔCDE , AAS

d)

Cannot Be Determined

46.

ΔWAT ≅ Δ_____ by _____

a)

ΔTRE , ASA

b)

ΔTER , ASA

c)

ΔTER , AAS

d)

Cannot Be Determined

47.

ΔWAT ≅ Δ_____ by _____

a)

ΔTRE , ASA

b)

ΔTER , ASA

c)

ΔTER , AAS

d)

Cannot Be Determined

48.

ΔVXW ≅ Δ_____ by _____

a)

ΔYXW , AAS

b)

ΔYWX , AAS

c)

ΔYXW , ASA

d)

ΔYWX , ASA

49.

ΔRST ≅ Δ_____ by _____

a)

ΔRQT , SSA

b)

ΔRQT , ASA

c)

ΔRQT , AAS

d)

Cannot Be Determined

50.

ΔVWX ≅ Δ_____ by _____

a)

ΔYZX by AAS

b)

ΔYXZ by AAS

c)

ΔYZX by ASA

d)

ΔYXZ by ASA

51.

ΔYZV ≅ Δ_____ by _____

a)

ΔYWV , ASA

b)

ΔVWY , SAS

c)

ΔYWV , AAS

d)

Cannot Be Determined

52.

ΔEGF ≅ Δ_____ by _____

a)

ΔHFG , SAS

b)

ΔHFG , AAS

c)

ΔGFH , SAS

d)

Cannot Be Determined

53.

ΔXVW ≅ Δ_____ by _____

a)

ΔTUS , SSS

b)

ΔUTS , SSS

c)

ΔUST , SSS

d)

Cannot Be Determined

54.

ΔTVS ≅ Δ_____ by _____

a)

ΔTVU , ASA

b)

ΔVTU , ASA

c)

ΔTVU , SAS

d)

Cannot Be Determined

55.

ΔADC ≅ Δ_____ by _____

a)

ΔCBA , SAS

b)

ΔABC , ASA

c)

ΔCBA , ASA

d)

Cannot Be Determined

56.

ΔCZH ≅ Δ_____ by _____

a)

ΔZET , AAA

b)

ΔEZT , AAA

c)

ΔZET , SAS

d)

Cannot Be Determined

57.

ΔABC ≅ Δ_____ by _____

a)

ΔDFE , SAS

b)

ΔDFE , SSA

c)

ΔDEF , SSA

d)

Cannot Be Determined

58.

ΔICO ≅ Δ_____ by _____

a)

ΔOLP , AAS

b)

ΔOPL , ASA

c)

ΔOLP , ASA

d)

Cannot Be Determined

59.

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.

60.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

61.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

62.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

63.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

64.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

65.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

66.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Not similar

67.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

68.

If the triangles are similar, state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

69.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

70.

If the triangles are similar, state how.

a)

SAS

b)

AA

c)

SSS

d)

Not similar

71.

Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

72.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

73.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

74.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

75.

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

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

76.

Calculate the value of A'D'.

a)

10

b)

15

c)

20

d)

25

77.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

78.

Complete the Proof above.

a)

AA

b)

SSS

c)

SAS

d)

HL

79.

Area = ?

a)

x² + 2x + 2

b)

2x²+ 2x + 2

c)

3x² + 2

d)

4x + 7

80.

Perimeter = ?

a)

4x + 8

b)

x² + 2x + 2

c)

6x + 10

d)

4x + 10

81.

Area

a)

3x + 1

b)

2x + 9

c)

2x + 8

d)

3x² + 1

82.

Find the area if x = 6

a)

49 units²

b)

19 units²

c)

39 units²

d)

48 units²

83.

Find the area if x = 3

a)

27 units²

b)

45 units²

c)

33 units²

d)

15 units²

84.

Find the area if x = 3

a)

25 un²

b)

22 un²

c)

19 un²

d)

20 un²

85.

What term is represented by the algebra tiles?

a)

3

b)

-3

c)

3x

d)

3x²

86.

What expression/polynomial is modeled by the algebra tiles?

a)

2x² + 4x + 1

b)

2x² - 4x + 1

c)

x² - 4x + 1

d)

6x + 1

87.

Which figure can be represented by (x + 1)(x + 3)?

a)

b)

c)

d)

88.

Which figure can be represented by x² +5x + 4?

a)

b)

c)

89.

Which figure is represented by the expression x²+6x + 8?

a)

b)

c)

d)

IM2 - Ch. 2 Review

Total questions: 89

Worksheet time: 3hrs 18mins

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