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Unit 6 Transformations

Total questions: 60

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
2.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
3.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
4.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
5.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
6.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
7.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
8.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
9.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
10.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
11.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
12.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
13.
A dilation is which of the following: 
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
14.
 A dilation can produce a larger figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
15.
A dilation can produce a smaller figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
16.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
17.
What is the definition of dialations ,in mathematical terms?
a)
to make larger or smaller
b)
to make larger
c)
all of the above
d)
to make smaller
18.
What is the scale factor if the smaller rectangle is the original rectangle?
a)
4
b)
.25
c)
5
d)
6
19.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
20.
What is the scale factor if the triangle on the right is the new triangle?
a)
1/2
b)
7/3
c)
2
d)
10/3
21.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
22.
Does the image show a Dilation?
a)
Yes
b)
No
23.
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
24.
Does the image show a dilation?
a)
Yes
b)
No
25.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
26.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
27.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
28.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off  of each side.
d)
That the image will be a reduction of the pre-image.
29.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
30.
State the coordinate of the new 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)
31.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a rotation 90 degrees clockwise?

a)

(5, 3)

b)

(-5, 3)

c)

(-5, -3)

d)

(5, -3)

32.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a reflection over the y-axis?

a)

(3, 5)

b)

(-3, -5)

c)

(-3, 5)

d)

(3, -5)

33.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a reflection over the y-axis?

a)

(3, 5)

b)

(-3, -5)

c)

(-3, 5)

d)

(3, -5)

34.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a reflection over the y-axis?

a)

(3, 5)

b)

(-3, -5)

c)

(-3, 5)

d)

(3, -5)

35.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of A' after a translation 3 units right and 4 units down?

a)

(-6, 9)

b)

(0, 1)

c)

(0, 9)

d)

(-6, 1)

36.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of B' after a reflection over the x-axis?

a)

(-5, 2)

b)

(-5, -2)

c)

(2, -5)

d)

(-2, -5)

37.

Triangle ABC has vertices A(-3, 5), B(2, 5) and C(0, 9). What would be the coordinates of C' after a translation 3 units left and 4 units down?

a)

(3, 5)

b)

(-3, 5)

c)

(-3, 13)

d)

(3, 13)

38.

Triangle XYZ has vertices X(-9, 7), Y(-3, 5) and Z(-1, 12). What would be the coordinates of X' after a rotation 180 clockwise?

a)

(9, -7)

b)

(9, 7)

c)

(-9, -7)

d)

(7, -9)

39.

Triangle XYZ has vertices X(-9, 7), Y(-3, 5) and Z(-1, 12). What would be the coordinates of Z' after a translation following the rule (x - 3, y + 5)?

a)

(-4, 7)

b)

(2, 17)

c)

(-4, 17)

d)

(2, 7)

40.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Similar

d)

Rotated

41.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
42.

Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?

a)

(5, 3)

b)

(-5, -3)

c)

(3, -5)

d)

(-5, 3)

43.

Using the graph above, rotate and graph the image of ABCD about the origin 180 degrees. Which quadrant will contain its image?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

44.
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)
45.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
46.

Which transformation moves a geometric pre-image right, left, up or down?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

47.

Which transformation flips an image across either the x or y axis?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

48.

Which transformation enlarges or reduces a pre-image?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

49.

Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

50.

Which transformation preserves the size of a pre-image? (Chose the best answer)

a)

Rotation

b)

Translation

c)

Reflection and dilation

d)

Reflection, rotation, and translation

51.

Which transformation preserves the orientation of a pre-image? (Chose the best answer)

a)

Translation and dilation

b)

Translation only

c)

Dilation only

d)

Rotation and reflection

52.

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

a)

enlargement

b)

reduction

53.

What is the scale factor of the dilation shown?

a)

1/3

b)

1/2

c)

3

d)

2

54.

Describe the rotation shown.

a)

Rotation 180o

b)

Rotation 90o clockwise

c)

Rotation 90o counter clockwise

d)

Rotation 270o clockwise

55.

If blue is the pre-image, describe the transformation

a)

Rotation 180o

b)

Dilation by a factor of 1/2

c)

Translation 6 right and 6 down

d)

Translation six left and six up

56.

Describe the transformation shown.

a)

Rotation 90o clockwise

b)

Dilation by a factor of 3

c)

Translation 2 units down

d)

Reflection across the x axis.

57.

Describe the transformation shown if the image on the left is the pre-image.

a)

Reflection across the y axis

b)

Translation 4 units right

c)

Rotation 90o clockwise

d)

Dilation by a factor of 2

58.

Describe the transformation shown

a)

Reflection across the x axis.

b)

Translation down 6 and left 1

c)

Dilation by a factor of 2/3

d)

Rotation of 180o

59.

If blue is the pre-image and green is the image, the scale of reduction is?

a)

1/2

b)

1/3

c)

3

d)

2

60.

Describe the transformation shown

a)

Rotation of 270o counter clockwise

b)

Translation right one unit and up one unit

c)

Dilation by a scale of 2

d)

Dilation by a scale of 1/2

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