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Transformations: Congruence and Similarity

Total questions: 104

Worksheet time: 3hrs 34mins

Name
Class
Date
1.

Translations, Reflections, and Rotations create _________ figures.

a)

Congruent

b)

Similar

2.

Dilations create _________ figures.

a)

Congruent

b)

Similar

3.

What type of transformation occurred?

a)

Translation

b)

Rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

4.

Where was this image reflected?

a)

across the x-axis

b)

across the y-axis

5.

Describe the translation

a)

Left 6, up 5

b)

Left 6, down 5

c)

Right 6, up 5

d)

Right 6, down 5

6.

Which two figures are congruent?

a)

A & B

b)

A & C

c)

A & D

7.

What is the sequence of transformations?

a)

Reflection across the x-axis, translation down 4 and right 1

b)

Rotation 180°180\degree   about the origin, translation down 1 and right 2

c)

Rotation 180°180\degree  about the origin, translation down 2 and right 2

d)

Reflection across the x-axis, translation down 6 and right 3

8.

What is the rule ?

Translate 5 units left and 6 units up

*No Spaces

(a)  

9.
a)

Yes

b)

No

10.

What is the translated coordinate ?

Translate 5 units left and 6 units up

(-2, -9)

*No Spaces

(a)  

11.

In a dilation, if the scale factor is greater than 1 the image gets ________

a)

Bigger

b)

Smaller

12.

What was the scale factor used?

A(2,4), B(10, 18) C(6,8)

A'(1,2), B'(5,9), C'(3,4)

(a)  

13.

Which image shows a rotation?

a)

A

b)

B

c)

C

14.

Which image shows a translation?

a)

A

b)

B

c)

C

15.

Which image shows a reflection?

a)

A

b)

B

c)

C

16.

What combination of transformations is shown?

a)

translation, then reflection

b)

translation, then rotation

c)

rotation, then reflection

d)

Rotation, then translation

17.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

18.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

19.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

20.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

21.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

22.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o counterclockwise rotation

23.
Describe a sequence of transformations that maps figure A onto figure B.
a)
A translation 4 units right followed by a reflection across the x-axis
b)
A reflection across the x-axis followed by a reflection across the y-axis
c)
A reflection across the y-axis followed by a translation 6 units down
d)
A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
24.

Identify the sequences of transformations from the green image to the red image to the blue image.

a)

rotation then translation

b)

translation then rotation

c)

translation then reflection

d)

rotation then reflection

25.

Identify the sequences of transformations from the red image to the blue image to the green image.

a)

translation then translation

b)

rotation then reflection

c)

rotation then rotation

d)

reflection then translation

26.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

27.
What is the sequence of transformations?
a)
Reflect over the y-axis then reflect over the x-axis
b)
Reflect over the x-axis then reflect over the y-axis
c)
Translate 4 units then rotate 90˚ counter-clockwise about the origin
d)
Rotate 90˚ counter-clockwise about the origin then reflect over the x
28.

What combinaton of transformations is shown?

a)

Rotation, then translation

b)

Translation, then reflection

c)

Rotation, then reflection

d)

Translation, then rotation

29.

What combination of transformations is shown?

a)

Reflection, then rotation

b)

Translation, then rotation

c)

Translation, then reflection

d)

Reflection, then translation

30.

What are the final coordinates of B after a rotation of 180 degrees counterclockwise and a reflection over the y-axis

a)

(3, -4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, -3)

31.
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
32.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
90 degrees clockwise
33.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
34.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
35.

Point A is rotated 180 degrees and then flipped over the y-axis. What is A" if A is (2,7)

a)

(2,7)

b)

(-2, -7)

c)

(-2, 7)

d)

(2, -7)

36.
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)
37.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
38.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
39.

A transformation that “turns” a figure about a fixed point is a _____________________.

a)

rotation

b)

translation

c)

reflection

d)

dilation

40.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
41.
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
42.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

43.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

44.

A type of transformation where a geometric figure slides horizontally, vertically, or both.

a)

dilation

b)

translation

c)

rotation

d)

reflection

45.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
46.

A reflection ____________________.

a)

turns a figure around a point.

b)

slides an object form one place to another.

c)

flips or mirrors an object across a line.

d)

changes the size of an object.

47.

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

48.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
49.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
50.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
51.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
52.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Rigid Transformations

c)

Congruent

53.

Rigid transformations do not change the _____ and _____ of an object.

a)

size

b)

shape

c)

location

d)

direction

54.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
55.

A ______ is a flip of a figure over a line.

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

56.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
57.

Figure ABCD is the pre-image and is transformed into the other figures.

HIJK is a ​ (a)   of ABCD.

58.

Figure ABCD is the pre-image and is transformed into the other figures.

AEFG is a (a)   ​ of ABCD.

59.

Figure ABCD is the pre-image and is transformed into the other figures.

LMNO is a ​ (a)   of ABCD.

60.

When part of an original figure matches up with a copy, we call them _. These could be points, segments, or angles.

(a)  

61.

GHIJKL is the image of ABCDEF. Which angles have the same measure? (there are 2 correct answers)

a)

∠B\angle B and ∠J\angle J

b)

∠E\angle E and ∠K\angle K

c)

∠F\angle F and ∠H\angle H

d)

∠A\angle A and ∠G\angle G

62.

GHIJKL is the image of ABCDEF.

BC‾\overline{BC} corresponds to ​

a)

GH

b)

HI

c)

KJ

d)

JI

63.

GHIJKL is the image of ABCDEF.

AF‾\overline{AF} corresponds to ​

a)

GH

b)

GL

c)

KJ

d)

ED

64.

PQRST is the image of ABCDE. Select the three correct answers.

a)

This is an example of a reflection.

b)

This is an example of a dilation

c)

RS‾\overline{RS} corresponds to DC‾\overline{DC}

d)

∠B\angle B corresponds to ∠Q\angle Q

e)

∠R\angle R corresponds to ∠D\angle D

65.

Having the same size and shape; ≅.

a)

Congruent

b)

Similar

c)

Image

d)

Preimage

66.

Corresponding sides of a congruent figure are_____.

a)

Congruent

b)

Not congruent

67.

Corresponding angles of congruent figures are _________.

a)

Congruent

b)

Not congruent

68.

Which figure is a translation of Figure I?

a)

Figure A

b)

Figure B

c)

Figure C

d)

None of the above

69.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

70.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

71.

ΔXYZ≅ΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side XY?

a)

TR

b)

RS

c)

ST

72.

Δ RST ≅ -------

a)

Δ WYX

b)

Δ WXY

c)

Δ XWY

d)

Δ XYW

73.

Triangle DEF has vertices D(2,0), E(1,-2), and F(2,1). The triangle is rotated 90˚clockwise about the origin.What are the coordinates of vertex F' ?

a)

(-2, -1)

b)

(-1, -2)

c)

(1, -2)

d)

(-2, 1)

74.

Find the coordinates of A' if  ΔABC\Delta ABC  is reflected across the y-axis. 

a)

(1, -2)

b)

(-1, 2)

c)

(-1, -2)

d)

(1, 2)

75.

Which sequences make congruent figures?

a)

translations only

b)

rotations, reflections, and translations

c)

rotations and reflections only

d)

dilations, reflections, rotations, and translations

76.

Describe the translations that were applied to quadrilateral ABCD when it was translated to quadrilateral A'B'C'D'

a)

down 1 unit, left 5 units

b)

down 4 units, left 9 units

c)

5 units right, 1 unit up

d)

9 units right, 4 units up

77.

What sequence of transformations will get you from figure 1 to figure 3?

a)

reflection, then rotation

b)

rotation, then translation

c)

reflection, then translation

d)

Translation, then reflection

78.

What sequence of transformations will get you from  ΔBCD\Delta BCD  to  ΔB"C"D"\Delta B"C"D"  ?

a)

Rotation, then rotation

b)

rotation, then dilation

c)

translation, then reflection

d)

reflection, then rotation

79.

Identify the transformation of figure PQRSTU to figure P"Q"R"S"T"U"

a)

translation across the y-axis

b)

reflection across the x-axis

c)

reflection across the y-axis

d)

rotation 90˚ about the origin

80.

Which transformation would be used on quadrilateral KLMN to create quadrilateral K'L'M'N' ?

a)

rotation 90˚ clockwise around the origin

b)

reflection across the x-axis

c)

translation to the right

d)

reflection across the y-axis

81.

Which expression describes the translation of a point (-2, 6) to (3, -1) ?

a)

5 units right and 7 units up

b)

5 units left and 7 units down

c)

5 units left and 7 units up

d)

5 units right and 7 units down

82.

What will be the coordinates of point V after a reflection of  ΔUVW\Delta UVW  across the x-axis?

a)

(-4, 4)

b)

(-4, 1)

c)

(4, -4)

d)

(4, -1)

83.

Define congruent figures

a)

two figures that are the same shape

b)

two figures that are the same size and the same shape

c)

two figures that are the same size

d)

two figures that are both rectangles

84.

Which of the following sets of pre-images and images show a rotation?

a)
b)
c)
d)
85.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
86.
Find the measure of the missing angle.
a)
145
b)
55
c)
35
d)
45
87.
Find the measure of the missing angle.
a)
139°
b)
66°
c)
138°
d)
116°
88.
Find the measure of the missing angle.
a)
140°
b)
21°
c)
105°
d)
25°
89.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
90.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
91.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
92.
Find the measure of the missing angle.
a)
135o
b)
35o
c)
45o
d)
30o
93.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
94.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
95.

Find x

a)

40 degrees

b)

21 degrees

c)

42 degrees

d)

39 degrees

96.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

97.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
98.
Solve for x.
a)
16
b)
11
c)
50
d)
6
99.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
100.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
101.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
102.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
103.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
104.
Find the missing angle. 
a)
151
b)
147
c)
118
d)
62

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