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Unit One Review

Total questions: 75

Worksheet time: 2hrs 50mins

Name
Class
Date
1.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
2.
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)
3.
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
4.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
5.
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)
6.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
7.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
8.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
9.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
10.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
11.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
12.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
13.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
14.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
15.
Which of the following are congruence transformations?
a)
Rotations
b)
Translations
c)
Reflections
d)
All Three
16.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
17.
Which answers are showing a reflection?
a)
a and c
b)
b and c
c)
c and d
d)
a and d
18.
How is the blue triangle rotated to the red triangle?
a)
90 clockwise
b)
90 counter-clockwise
c)
180 clockwise
19.

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

20.

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

21.

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

22.

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

23.

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

24.

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

25.

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

26.

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

27.

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

28.

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

29.

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

30.

A mirror image of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

31.

to slide or move a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

32.

Turning around a point

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

33.

To change the size of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

34.

What does it mean if two figures are congruent?

a)

The figures are the same shape, but different size

b)

The figures are different size and shape

c)

The figures are the same size and shape

d)

The figures are the same size, but different shape

35.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

36.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

37.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

38.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

39.

Original figure prior to a transformation.

a)

Pre-image

b)

Image

c)

Original

d)

Pre-transformed

40.

The resulting figure in a transformation is called the

a)

translation

b)

preimage

c)

image

d)

transformation

e)

rigid motion

41.

A transformation that preserves distance and angle measures is called a

a)

rigid motion

b)

preimage

c)

image

d)

transformation

42.

For a dilation, if the scale factor n is greater than 1 then the resulting image is a(n)

a)

reduction

b)

enlargement

c)

scale factor

d)

dilation

43.

A combination of 2 or more transformations is called a

a)

translation

b)

preimage

c)

party

d)

composition of transformations

e)

rigid motion

44.

For a dilation, if the scale factor n is less than 1 then the resulting image is a(n)

a)

reduction

b)

enlargement

c)

scale factor

d)

dilation

45.

Point K is located at (3, –4). What are the coordinates of its reflection over the 𝒙-axis?

a)

(3, 4)

b)

(−3, −4)

c)

(−3, 4)

d)

(4, 3)

46.

If ABC is translated 2 units down and 3 units right, what point is the image of vertex B?

a)

(3, −2)

b)

(−1, −1)

c)

(2, −1)

d)

(−2, −2)

47.

PQRS is rotated 90° clockwise about the origin. What are the coordinates of the image of R?

a)

(2, 4)

b)

(4, 2)

c)

(–2, –4)

d)

(–4, –2)

48.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

49.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

50.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

51.

A transformation in which a second transformation is performed on a image of a first transformation is called

a)

composition of transformation

b)

translation

c)

rigid motion

d)

reflection

52.
What are the coordinates of point A' , the image of point A(-4, 1)  after the composite transformation R90 o ry=x  where the origin is the center of rotation?
a)
(-1, -4)
b)
(-4, -1)
c)
(1, 4)
d)
(4, 1)
53.
The coordinates of triangle JRB  are ,J(1, -2) , R(-3, 6) and B(4, 5) .  What are the coordinates of the vertices of its image after the transformation T2, -1 o ry-axis ?
a)
(3, 1), (-1, -7), (6, -6)
b)
(3, -3), (-1, 5), (6, 4)
c)
(1, -3), (5, 5), (-2, 4)
d)
(-1, -2), (3, 6), (-4, 5)
54.
If the coordinates of point P are (2, -3) , then R90 o R180 is
a)
(-2, 3)
b)
(-2, -3)
c)
(3, -2)
d)
(-3, -2)
55.
Name the series of transformations that maps ABC onto DEF
a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
56.
Describe the transformations that map ABC onto A"B"C"
a)
translate 5 up and 1 left then reflect over y
b)
translate 5 down and 1 left, then reflect over y
c)
reflect over y=x then translate left 8
d)
reflect over x then rotate 90 clockwise
57.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 6, 254 Degrees
58.
a)

is symmetrical

b)

not symmetrical

59.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

60.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
61.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
62.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

63.
What type of symmetry does this shape have?
a)
Only Rotational
b)
Only Line
c)
Both Rotational and Line
d)
Neither Rotational nor Line
64.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
65.
What are the angles of rotation for a square?
a)
multiples of 30
b)
multiples of 45
c)
multiples of 90
d)
multiples of 180
66.
What is one of the angles of rotation needed to rotate this octagon onto itself?
a)
60
b)
135
c)
120
d)
240
67.
When copying line segment AB using a straight edge and a compass, the compass should be used to:
a)
Draw an arc above point A
b)
Measure the length of segment AB
c)
Draw an arc between point A and point B
d)
Measure half the length of line segment AB
68.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
69.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Angle median
d)
Perpendicular bisector of a line segment
70.
Select the best answer choice.
a)
F
b)
G
c)
H
d)
J
71.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
72.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

73.
What is being constructed?
a)
A congruent segment
b)
Parallel Lines
c)
Perpendicular Bisector
d)
Angle Bisector
74.

What does this symbol mean?

≅

a)

not equal

b)

congruent

c)

equal

d)

half

75.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4

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