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Unit 4 review

Total questions: 81

Worksheet time: 4hrs 3mins

Name
Class
Date
1.
The following is a ...
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
2.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
3.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
4.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
5.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
6.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
7.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
8.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
9.

Which transformation enlarges or reduces a pre-image?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

10.

If the blue is the pre-image and the red is the image, is this an enlargement or a reduction?

a)

enlargement

b)

reduction

11.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
12.
What is the rule for a 180 degree rotation?
a)
(-y, -x)
b)
(y, -x)
c)
(-x, -y)
d)
(-y, x)
13.
What is the rule for a 270 degree counterclockwise rotation?
a)
(y, -x)
b)
(-x, y)
c)
(-y, x)
d)
(-x, -y)
14.
Which represents right 4 and down 2?
a)
(x - 2, y + 4)
b)
(x - 4, y - 2)
c)
(x + 4, y + 2)
d)
(x + 4, y - 2)
15.
How many quadrants are moved when rotating 180 degrees?
a)
1
b)
2
c)
3
d)
4
16.
What is the translation?
a)
(x - 4, y + 5)
b)
(x + 5, y - 4)
c)
(x + 4, y - 5)
d)
(x - 4, y - 5)
17.
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)
18.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
19.

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

20.

A dilation produces a congruent figure

a)

True

b)

False

21.

When a dilation has a scale factor greater than one, the dilation is an reduction (shrink).

a)

True

b)

False

22.
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)
23.

The coordinates of triangle ABC are A (-1, 9), B (3, 6) and C (0, 1). Triangle GEF is a dilation of triangle ABC with a scale factor of 1/3. What are the coordinates of triangle GEF?

a)

A(- 1/3 , -1) B(1, 6) C(1/3 , 0)

b)

A(-3, 3) B(9, 2) C(0, 1/3 )

c)

A(- 1/3 , 3) B(1, 2) C(0, 1/3)

d)

A( 1/3 , 3) B(1, 3) C(0,1/3 )

24.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
25.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
26.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
27.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
28.

Write a rule for a dilation of (x, y) with a scale factor of 7.

a)

(1/7x, 1/7y)

b)

(-7x, -7y)

c)

(x + 7, y + 7)

d)

(7x, 7y)

29.

Write a rule for a dilation of 1/2?

a)

(2x, 2y)

b)

(1/2x, 1/2y)

c)

(-2x, -2y)

d)

(2x, 1/2y)

30.

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

a)

(x, y) → (x, 3y)

b)

(x, y) → (1/9x, 1/9y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

31.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

32.

What does it mean to be exactly equal in size and shape.

a)

Corresponding

b)

Opposite

c)

Similar

d)

Congruent

33.

What does it mean to have the same shape, but maybe not the same size

a)

Corresponding

b)

Opposite

c)

Similar

d)

Congruent

34.

If the segment was dilated from (5,0) with a scale factor of 4, what is the length of the new segment?

a)

4

b)

16

c)

8

d)

1

35.
Which two fish represent a reflection?
a)
None
b)
B and C
c)
C and D
d)
A and D
36.
Which two fish represent a dilation?
a)
A and B
b)
C and B
c)
None
d)
A and D
37.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
38.

Point A is (1,4). Center at (0,0) with a k=7 What the coordinates of A'?

a)

(4,1)

b)

(7,28)

c)

(8,42)

d)

(0.5,2)

39.

Point A is (12,24). Center at (0,0) SF=1/6 What the coordinates of A'?

a)

(6,12)

b)

(4,8)

c)

(3,6)

d)

(2,4)

40.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
41.

Which of the following results in congruent figures?

a)

Rotations

b)

Translations

c)

Dilations

d)

Reflections

42.

Which is the only transformation that can produce an image that is NOT CONGRUENT to the original figure?

a)

translation

b)

reflection

c)

rotation

d)

dilation

43.

If the scale factor of dilation is 3, will the image be larger or smaller than the original figure?

a)

larger

b)

smaller

44.

If the scale factor of dilation is 4/9, will the image be larger or smaller than the original figure?

a)

larger

b)

smaller

45.

Point Z(5, -25) was dilated by a scale factor of 0.2. What is Z'?

a)

Z'(5, -5)

b)

Z'(5, 1)

c)

Z'(1, 5)

d)

Z'(1, -5)

46.

Point A(9, -2) is dilated to A'(45, -10). Describe the dilation in words.

a)

Dilated by a scale factor of 1/3.

b)

Dilated by a scale factor of 5.

c)

Dilated by a scale factor of 2.

d)

Dilated by a scale factor of 1/5.

47.

Point Q(-2, 1) is dilated to Q'(-14, 7). Describe the dilation using a coordinate rule.

a)

(-7x, 3y)

b)

(x - 12, y + 6)

c)

(3x, 9y)

d)

(7x, 7y)

48.

Enlargement or reduction?

a)

Enlargement

b)

Reduction

49.

REVIEW:

Point U(4, 3) is translated 3 units right and 2 units down. What is U'?

a)

U'(1, 1)

b)

U'(7, 5)

c)

U'(7, 1)

d)

U'(12, 6)

50.

REVIEW:

Point U(4, 3) is reflected over the x-axis. What is U'?

a)

U'(4, -3)

b)

U'(-4, 3)

c)

U'(-4, -3)

d)

U'(4, 3)

51.

REVIEW:

Point U(4, 3) is rotated 90º clockwise around the origin. What is U'?

a)

U'(4, -3)

b)

U'(3, -4)

c)

U'(3, 4)

d)

U'(-4, -3)

52.
Translate the points 3 units right and 6 units down. 
S (4, -6)
T (-6, 10)
U (-4, -8)
a)
S' (-7, -12)
T' (-3, -4)
U' (5, 10)
b)
S' (7, -12)
T' (3, 4)
U' (1, 14)
c)
S' (7, 12)
T' (3, 4)
U' (1, 14)
d)
S' (7, -12)
T' (-3, 4)
U' (-1, -14)
53.
The figures are similar. Find x. 
a)
18.5
b)
30.5
c)
20.5
d)
16.5
54.

Which algebraic expression represents a dilation?

a)

(x,y)->(-3x,-7y)

b)

(x,y)->(x+5,y-8)

c)

(x,y)->(5x,5y)

d)

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

55.
What is the scale factor of the dilation?
a)
5/2
b)
3/2
c)
7/2
d)
2/3
56.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
57.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
58.
Identify the transformation from  triangle C to triangle D.
a)
90o Counter clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
59.

Which is a rule for a reflection over the x-axis?

a)

f(x,y)=(x,−y)f\left(x,y\right)=\left(x,-y\right)

b)

f(x,y)=(−x,y)f\left(x,y\right)=\left(-x,y\right)

c)

f(x, y)= (−y, x)f\left(x,\ y\right)=\ \left(-y,\ x\right)

d)

f(x, y)= (y,− x)f\left(x,\ y\right)=\ \left(y,-\ x\right)

60.

What does the rule  f(x,y)=(x−6,y+4)f\left(x,y\right)=\left(x-6,y+4\right)  tell you to do? 

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

61.

 f(x,y)=(−y, x)f\left(x,y\right)=\left(-y,\ x\right)  is a rule for which transformation?

a)

Reflection over the x axis

b)

Rotation 90 degrees counterclockwise

c)

Rotation 270 degrees counterclockwise

d)

Reflection over the line y=x

62.

Which rule shows a dilation with a scale factor of 2?

a)

f(x,y)=(x+2, y+2)f\left(x,y\right)=\left(x+2,\ y+2\right)

b)

f(x,y)=(12x,12y)f\left(x,y\right)=\left(\frac{1}{2}x,\frac{1}{2}y\right)

c)

f(x,y)=(2x,2y)f\left(x,y\right)=\left(2x,2y\right)

d)

You can't dilate a figure with a scale factor of two.

63.

 f(x,y)=(−y, x)f\left(x,y\right)=\left(-y,\ x\right)  is a rule for which transformation?

a)

Reflection over the x axis

b)

Rotation 90 degrees counterclockwise

c)

Rotation 270 degrees counterclockwise

d)

Reflection over the line y=x

64.

Which written description matches the rule  f(x,y)=(−x,y)f\left(x,y\right)=\left(-x,y\right)  

a)

Rotation 90 degrees ccw

b)

Rotation 270 degrees ccw

c)

Reflection over the x-axis

d)

Reflection over the y-axis

65.

 f(x,y)=(12x, 12y)f\left(x,y\right)=\left(\frac{1}{2}x,\ \frac{1}{2}y\right)  is a rule for which transformation? 

a)

Dilation with scale factor of 2

b)

Dilation with scale factor of 1/2

c)

Translation right 2 up 2

d)

Translation right 1/2 up 1/ 2

66.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
67.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
68.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
69.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
70.

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

71.

A dilation produces a congruent figure

a)

True

b)

False

72.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
73.

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

a)

Reduction

b)

Enlargement

74.

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

a)

Reduction

b)

Enlargement

75.

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

a)

Reduction

b)

Enlargement

76.

If your SF = 7/7, what happens to the figure when dilated?

a)

reduced

b)

enlarge

c)

preserve

d)

It turns into an octopus

77.
A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)
a)
A(3,3), B(4,4), C(-3,-4)
b)
A(-4,8), B(6.5,8), C(7,7)
c)
A(0,0), B(32,0), C(12,-8)
78.
What variable represents scale factor in the algebraic representation (x,y) to (kx,ky)?
a)
x
b)
y
c)
z
d)
k
79.

If we have the point D(15, 5) and a k=1/5, what will point D' be if a dilation occured?

a)

D' (75, 25)

b)

D' (20, 10)

c)

D' (10, 0)

d)

D' (3 1)

80.

If we have the point (-4, 2), how can you transform it to be in quadrant three?

a)

Translate the point 2 units right and 5 units down

b)

Reflect over the y-axis

c)

Rotate the point 180 degrees

d)

Translate the point 5 units right and 5 units up

81.

We have the point (3,5), how can we transform it to get the point (-1.5, 2.5)

a)

reflect over the x axis and dilate by a scale factor of 1/2

b)

reflect over the y axis and dilate by a scale factor 2

c)

reflect over the x axis and dilate by a scale factor of 2

d)

reflect over the y axis and dilate by a scale factor of 1/2

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