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Unit 1 Transformations Study Guide

Total questions: 72

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
What are the coordinates of the triangle A((1,1), B(1,5), C(5,2) after a reflection over the y-axis?
a)
A'(1,1), B'(1,5), C'(5,2)
b)
A'(-1,-1), B'(-1,-5), C'(-5,-2)
c)
A'(1,-1), B'(1,-5), C'(5,-2)
d)
A'(-1,1), B'(-1,5), C'(-5,2)
2.

Which types of transformation(s) does not result in a congruent figure after the movement?

a)
Rotations
b)
Reflections
c)
Translations
d)

Dilations

3.
Triangle ABC has vertices A (2, 4), B (3, 1), and C (3, 3). A translation maps point A to A ’ (5, ‒1). Using this translation, what are the coordinates of B’ ?
a)
(6,-4)
b)
(0,-4)
c)
(6,4)
d)
(-2,4)
4.
Describe the translation happening to triangle ABC to triangle A’B’C’?
a)
A'(1,1), B'(10,12), C'(-1,4)
b)
A'(-1,1), B'(0,0), C'(0,4)
c)
A'(1,1), B'(0,0), C'(0,-4)
d)
A'(-1,1), B'(-1,5), C'(-5,2)
5.
Which sequence of transformations shows congruence from the pre-image (shaded) to the prime-image (unshaded)?
a)
reflection then translation
b)
rotation then translation
c)
rotation then reflection
d)
translation then reflection
6.
If point B is located at (0, 2) and is translated to point B’ with coordinates (3, -5), which translation did point B undergo?
a)
3 units right and 7 units down
b)
3 units left and 7 units up
c)
3 units up and 7 units right
d)
3 units down and 7 units left
7.
Which transformations did Quadrilateral PQRS go through to get to Quadrilateral WXYZ?
a)
Rotate 180o then translate 6 right
b)
Translate 6 right then rotate 90o ccw
c)
Rotate 90o ccw then translate 6 right
d)
Reflection over the x-axis then rotate 180o
8.
Which of the following transformations Figure A onto Figure B?
a)
Translate 3 right and reflect across y-axis
b)
Reflect across x-axis then translate 3 right
c)
Translate 4 right and reflect across x-axis
d)
Translate 3 right and reflect across x-axis
9.
Quadrilateral ABCD is shown on this grid. If Quadrilateral ABCD is dilated about the origin using a scale factor of 1/2 to make Quadrilateral A′B′C′D′, what will be the coordinates of A′, B′, C′, and D′?
a)
A'(4,2), B'(1,4), C'(4,2), D'(2,1)
b)
A'(-4,2), B'(1,4), C'(4,-2), D'(-2,1)
c)
A'(-4,-2), B'(-1,-4), C'(-4,-2), D'(-2,-1)
d)
A'(4,-2), B'(1,4), C'(-4,-2), D'(2,-1)
10.

Triangle A(-3,4), B(7,4), C(1,-3) is shown below. If Triangle ABC is dilated about the origin with a scale factor of 2 into Triangle A′B′C′, the coordinates of Point C′ are ____.

a)

(-2,-6)

b)

(2, -6)

c)

(-2,6)

d)

(-6,2)

11.

The vertices of △JKL have the following coordinates: J(1, 0), K(3, 4), L(1, 4). If △JKL is reflected over the x-axis, what are the new coordinates for Vertex L?

a)

(-4,1)

b)

(-1,-4)

c)

(-1,4)

d)

(1,-4)

12.
Which of the following describes the movement of a figure that is translated according to the rule (x ‒ 5, y + 1)?
a)
1 up and 5 left
b)
5 down and 1 right
c)
5 left and 1 up
d)
1 left and 5 right
13.

What is the algebraic rule for a translation of 3 units left and 4 units up?

a)

(x + 3, y - 4)

b)

(x - 3, y - 4)

c)

(x + 3, y +4)

d)

(x - 3, y +4)

14.

A square with the vertices of A(1, 1), B(2, 1), C(1, 2) and D(2, 2) is dilated by a scale factor of 2 from the origin. The new coordinates of the C’ are ____.

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,2)

15.

Match the rotations which give the same result.

a)

90°cw (x, y)→(y,−x)90\degree cw\ \left(x,\ y\right)\rightarrow\left(y,-x\right)  

1.

270 degrees ccw

b)

90°ccw (x, y)→(−y, x)90\degree ccw\ \left(x,\ y\right)\rightarrow\left(-y,\ x\right)  

2.

270 degrees cw

c)

180°cw (x, y) →(−x,−y)180\degree cw\ \left(x,\ y\right)\ \rightarrow\left(-x,-y\right)  

3.

180 degrees ccw

16.

If Quadrilateral ABCD is reflected about the x-axis, what are the coordinates of A’?

a)

(-3,2)

b)

(-2,-3)

c)

(-3,2)

d)

(2,-3)

17.
Triangle PQR has vertices as shown. It is rotated 90 degrees counterclockwise about the origin, what are the coordinates of R’?
a)
(-3,-3)
b)
(-3,3)
c)
(3,-3)
d)
(3,3)
18.
Figure ABCDE is transformed into Figure A'B'C'D'E' through a dilation, using the origin as the center and a scale factor of 3. What are the coordinates of C'?
a)
(2,1)
b)
(9,18)
c)
(-18,-9)
d)
(18,9)
19.
What is the scale factor of the dilation from ABCD to A'B'C'D'?
a)
1/2
b)
2/4
c)
2
d)
"4
20.
Which sequence of transformations proves congruence from parallelogram EFGH to parallelogram E'F'G'H'?
a)
Rotate 90o ccw, Reflect over y-axis, then Reflect over x-axis
b)
Rotate 180o ccw, Reflect over y-axis, then Reflect over x-axis
c)
Rotate 90o cw, Reflect over y-axis, then Reflect over x-axis
d)
Reflect over y-axis, Reflect over x-axis, then Rotate 90o ccw
21.

What are the coordinates of point F?

a)

(-4, 1)

b)

(1, -4)

c)

(4, -1)

d)

(4, 1)

22.

What are the coordinates of point H?

a)

(-5, -4)

b)

(4, 5)

c)

(-4, -5)

d)

(-5, 4)

23.

What are the coordinates of point G?

a)

(3, -2)

b)

(-3, 2)

c)

(-3, -2)

d)

(-2, 3)

24.

In which quadrant is the REFLECTION of point P in the coordinate plane?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

25.

To plot point K, Carrie should start at the origin and move 3 units ______ and then 9 units ______.

a)

left

up

b)

right

up

c)

left

down

d)

down

right

26.

To plot point L, Carrie should start at the origin and move 6 units ______ and 1 unit ______.

a)

right

down

b)

left

up

c)

down

right

d)

up

left

27.

The points are on the same side of the x-axis.

a)

True

b)

False

28.

The points are on the same side of the y-axis.

a)

True

b)

False

29.

The points are located on the same horizontal line.

a)

True

b)

False

30.

The points are reflections of each other across the x-axis.

a)

True

b)

False

31.

The points could be in Quadrants II and IV of the coordinate plane.

a)

True

b)

False

32.

Which coordiante plane shows the points from the table plotted correctly

a)
b)
c)
d)
33.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

34.

What quadrant is the image now in?

a)

I

b)

II

c)

III

d)

IV

35.

After a transformation, your new vertices should have what symbol on them?

a)

$

b)

#

c)

'

d)

&

36.
changing a shape using a turn, flip, slide, or a resize.
a)
Transformation
b)
Translation
c)
Rotation
d)
Scale Factor
37.
Same shape but different size
a)
Congruent
b)
Vector
c)
Line of Reflection
d)
Similar
38.

What does dilation mean?

a)

a transformation that enlarges or reduces a figure

b)

a transformation that flips a figure

c)

a transformation that turns a figure

d)

a transformation that slides a figure

39.

What is the correct definition of a translation?

a)

moving a figure by reflecting across an axis

b)

moving a figure by sliding left/right or up/down

c)

moving a figure by rotating a figure

d)

moving a figure by enlarging or reducing a figure

40.

A reflection is

a)

flipping a figure

b)

turning a figure

c)

enlarging a figure

d)

sliding a figure

41.

Having the same size and shape; ≅.

a)

Congruent

b)

Similar

c)

Image

d)

Preimage

42.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

43.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

44.

What kind of transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

45.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
46.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
47.
This symbol stands for ...
a)
is corresponding to
b)
is proportional to
c)
is congruent to
d)
is similar to
48.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
49.
When quadrilateral PRST is translated to create quadrilateral P'R'S'T', which statement is true?
a)
The side lengths of quadrilateral P'R'S'T' are twice the side lengths of quadrilateral PRST
b)
The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST
c)
The side lengths of quadrilateral P'R'S'T' are 9 units longer than side lengths of quadrilateral PRST
d)
The angle measures of quadrilateral P'R'S'T' are greater than the angle measures of quadrilateral PRST
50.
A dilation with a scale factor greater than 1 is a(n) ________.
a)
Enlargement
b)
Reduction
51.
A dilation with a scale factor less than 1 but greater than 0 is a(n) _____.
a)
Enlargement
b)
Reduction
52.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

53.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
54.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
55.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
56.
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
57.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
58.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
59.
Reflections over the x-axis change the sign of the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
60.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
61.
∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?
a)
B'(2, -3)
b)
B'(-2, 3)
c)
B'(-2, -3)
d)
B'(2, 3)
62.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

63.

Describe the transformation:

(x, y) -> (x, y-2)

a)

Translation 2 units to the left

b)

Translation 2 units up

c)

Translation 2 units to the right

d)

Translation 2 units down

64.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

65.

Describe the transformation:

(x, y) -> (x-1, y+1)

a)

Translation 1 unit to the left & 1 unit down

b)

Translation 1 unit to the left & 1 unit up

c)

Translation 1 unit to the right & 1 unit down

d)

Translation 1 unit to the right & 1 unit up

66.

Describe the transformation:

(x, y) -> (x, y-10)

a)

Translation 10 units to the left

b)

Translation 10 units up

c)

Translation 10 units to the right

d)

Translation 10 units down

67.

Describe the transformation:

(x, y) -> (x, -y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

68.

Describe the transformation:

(x, y) -> (-x, y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

69.

Describe the transformation:

(x, y) -> (-y, x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

70.

Describe the transformation:

(x, y) -> (y, -x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

71.

Describe the transformation:

(x, y) -> (3x, y)

a)

Horizontal translations 3 units to the right

b)

Vertical translation 3 units up

c)

Horizontal stretch 3 times as wide

d)

Vertical stretch 3 times as tall

72.

Describe the transformation:

(x, y) -> (x, 2y)

a)

Horizontal translations 2 units to the right

b)

Vertical translation 2 units up

c)

Horizontal stretch 2 times as wide

d)

Vertical stretch 2 times as tall

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