Free Printable Pre-Alg Unit 2 Test Review for November 6th

1.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

2.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

An enlargement or a reduction

d)

Turns around the graph

3.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

4.

Enlargement or reduction? Find the scale factor!

a)

It's an enlargement; the scale factor is 1/2.

b)

It's an enlargement; the scale factor is 2.

c)

It's a reduction; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 2.

5.

Polygon ABCDE will be dilated by a scale factor of 2. Which statement is NOT true of the dilation?

a)

The corresponding angles of the two polygons will be equal.

b)

The dilation will be an enlargement.

c)

The original and the image will be congruent.

d)

Polygon A'B'C'D'E' will be proportional to polygon ABCDE.

6.

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

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

7.

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

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

8.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

9.

Which is true about the scale factor when a figure is enlarged?

a)

The scale factor is zero.

b)

The scale factor is 1.

c)

The scale factor is larger than 1.

d)

The scale factor is smaller than 1.

10.

What is the scale factor?

a)

k = 2

b)

k = 1/2

c)

k = 4

d)

k = 1/4

11.

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

a)

b)

c)

d)

12.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

A. (x, y) --> (2x, 2y)

b)

B. (x, y) --> (x + 2, y - 2)

c)

C. (x, y) --> (0.5x, 0.5y)

d)

D. (x, y) --> (x - 0.5, y - 1)

13.

Which of the following are Dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

14.

Rectangle ABCD and A'B'C'D' are shown on the coordinate plane. Which algebraic representation shows how the coordinates of rectangle A'B'C'D' were found?

a)

b)

c)

d)

15.

What is the rule for this transformation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (1/2x, 1/2y)

c)

(x, y) --> (-2x, -2y)

d)

Not here

16.

Which algebraic representation can be used to explain the scale factor used to create W'?

a)

(x, y) → (1.5x, 1.5y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (2x, 3y)

d)

(x, y) → (.5x, .5y)

17.

What type of transformation is shown?

a)

Enlargement: Dilation with a scale factor of 2

b)

Reduction: Dilation with a scale factor of 2

c)

Enlargement: Dilation with a scale factor of .5

d)

Reduction: Dilation with a scale factor of .5

18.

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

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

19.

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

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

20.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

21.

Which is true about the scale factor when a figure is enlarged?

a)

The scale factor is zero.

b)

The scale factor is 1.

c)

The scale factor is larger than 1.

d)

The scale factor is smaller than 1.

22.

What is the scale factor?

a)

k = 2

b)

k = 1/2

c)

k = 4

d)

k = 1/4

23.

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

a)

b)

c)

d)

24.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

A. (x, y) --> (2x, 2y)

b)

B. (x, y) --> (x + 2, y - 2)

c)

C. (x, y) --> (0.5x, 0.5y)

d)

D. (x, y) --> (x - 0.5, y - 1)

25.

Which of the following are Dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

26.

Rectangle ABCD and A'B'C'D' are shown on the coordinate plane. Which algebraic representation shows how the coordinates of rectangle A'B'C'D' were found?

a)

b)

c)

d)

27.

What is the rule for this transformation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (1/2x, 1/2y)

c)

(x, y) --> (-2x, -2y)

d)

Not here

28.

What type of transformation is shown?

a)

Enlargement: Dilation with a scale factor of 2

b)

Reduction: Dilation with a scale factor of 2

c)

Enlargement: Dilation with a scale factor of .5

d)

Reduction: Dilation with a scale factor of .5

29.

What is the scale factor going from the smaller to the larger triangle?

a)

1/3

b)

1

c)

3

d)

6

30.

If these two images are similar, what is X?

a)

10

b)

12

c)

15

31.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.

a)

7 in

b)

9 in

c)

12 in

d)

14 in

32.

What is a scaled copy?

a)

A scaled copy is a copy of a figure where the new figure is ALWAYS larger than the original.

b)

A scaled copy is a copy of a figure where the new figure is ALWAYS smaller than the original.

c)

A scaled copy is a copy of a figure where every length in the original figure is multiplied by the same number.

33.

Choose all the corresponding parts. (Select all that apply)

a)

Segment AC and Segment DF

b)

Angle B and Angle F

c)

Segment BC and Segment DE

d)

Angle A and Angle D

e)

Segment AB and Segment DE

34.

What angle corresponds with Angle A?

a)

Angle B

b)

Angle C

c)

Angle P

d)

Angle Q

e)

Angle R

35.

What is the scale factor to go from the original triangle to Copy 1?

a)

+ 4

b)

$\times\ \frac{1}{2}$

c)

$\div\ 2$

d)

$\times\ 2$

36.

CB has a length of 2. It's corresponding side (UT) has a length of 6. What is the scale factor to go from the smaller polygon to the larger polygon?

a)

3

b)

$\frac{1}{3}$

c)

4

d)

6

37.

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 nor a reduction

38.

What scale factor was used to produce the image?

a)

2/3

b)

3/2

c)

1/2

d)

1

39.

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

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

40.

If two triangles are similar it means the the corresponding angles are?

a)

Congruent

b)

Proportional

c)

Parallel

d)

Opposite

41.

The two triangles are similar. Solve for x.

a)

$x=3$

b)

$x=2$

c)

$x=98$

d)

$x=4.5$

42.

$\Delta BAC\ \sim\ \Delta EDF$

Find\ the\ measure\ of\ \angle B.\

a)

$45\degree$

b)

$35\degree$

c)

$22\degree$

d)

$113\degree$

43.

If a 12-meter-tall airplane hanger casts a 18-meter shadow at the same time a parked jet casts a 6-meter shadow, how tall is the jet?

a)

6\ meters

b)

$36\ meters$

c)

$9\ meters$

d)

$4\ meters$

44.

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

a)

The perimeter and area are both multiplied by 4.

b)

The perimeter is multiplied by 4 and the area is multiplied by 16.

c)

The perimeter and area are both divided by 4.

d)

The perimeter is multiplied by 16 and the area is multiplied by 4.

45.

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

a)

5

b)

20

c)

25

46.

The perimeter of the larger square is 2 times larger than the smaller square.

a)

True

b)

False

47.

The area of the larger square is __________ times larger than the area of the smaller square.

a)

1/2

b)

1

c)

2

d)

4

48.

What is one way to determine how much the area would increase using a scale factor of 3?

a)

take the scale factor and square it to get 3x3=9

b)

add all of the sides together then multiply by 3

c)

multiply the area of the smaller rectangle by 3

49.

How much did the angles increase in the scale copy?

a)

They are twice as large

b)

They are 4 times as large

c)

Angles do not change in scale copies

50.

All angles in similar figures are congruent.

a)

True

b)

False

51.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

52.

Find the perimeter of the large triangle.

a)

24

b)

36

c)

12

d)

54

53.

To perform a dilation you need

a)

scale factor

b)

center of dilation

c)

a point to dilate

d)

degree of rotation

54.

A scale factor bigger than one makes a figure

a)

shrink

b)

enlarge

55.

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.

56.

Which scale factor is an example of a reduction?

a)

k = 1/2

b)

k = 1

c)

k = 3/2

d)

k = 2.5

57.

Which scale factor is an example of an enlargement?

a)

k = 1/2

b)

k = 1

c)

k = 3/2

d)

k = 0.75

58.

a)

Dilations always increase the length of line segments.

b)

Dilations take perpendicular lines to perpendicular lines.

c)

Dilations of an angle are congruent to the original angle.

d)

Dilations increase the measure of angles.

e)

Dilations of a triangle are similar to the original triangle.

59.

Which pair of triangles must be similar?

a)

Triangles 1 and 2 each have a 35 degree angle.

b)

Triangle 3 has a 50 degree angle and a 25 degree angle. Triangle 4 has a 50 degree angle and a 105 degree angle.

c)

Triangle 5 has a 30 degree angle and a 90 degree angle. Triangle 6 has a 30 degree angle and a 70 degree angle.

d)

Triangles 7 and 8 are both isosceles. They each have a 40 degree angle.

60.

Hint: Remember OD x SF = DD (find the scale factor)

a)

8

b)

12.5

c)

2.68

d)

0.67

61.

Which one of the following could be a coordinate for point C?

a)

(2, -2)

b)

(-4, -6)

c)

(6, 2)

d)

(0, 0)

62.

The 2 triangles are similar. Find the value of a/b. Record your final answer as a fraction or improper fraction.

a)

4/3

b)

3/5

c)

5/4

d)

2/5

63.

The 2 triangles are similar. Find the value of a/b. Record your final answer as a fraction or improper fraction.

a)

3/8

b)

6/5

c)

9/4

d)

5/2

64.

The 2 triangles are similar. Find the value of a/b. Record your final answer as a fraction or improper fraction.

a)

4/5

b)

7/8

c)

8/9

d)

6/7

65.

The 2 triangles are similar. Find the value of a/b. Record your final answer as a fraction or improper fraction.

a)

5/6

b)

2/3

c)

1/2

d)

3/4

Pre-Alg Unit 2 Test Review for November 6th

Total questions: 65

Worksheet time: 5hrs 25mins

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