wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometric Transformations

Total questions: 48

Worksheet time: 2hrs 58mins

Name
Class
Date
1.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
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.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
4.
What is the image of T(4, -1) after a reflection over the
 line y = -x
a)
(1, -4)
b)
(-4, 1)
c)
(-4, -1)
d)
(-1, 4)
5.
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)
6.

Which rule describes rotating 270° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

7.

If (12,-19) if rotated 90 degrees CCW, what will it become?

a)

(12,-19)

b)

(19,12)

c)

(-19,-12)

d)

(-12,19)

8.

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)

9.

Which of the following is not a rigid transformation?

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

10.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
11.
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
a)
(x, y) --> (x - 9, y + 3)
b)
(x, y) --> (x + 9, y - 3)
c)
(x, y) --> (x + 3, y - 9)
d)
(x, y) --> (9x, 3y)
12.
The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 7, y + 4)
b)
(x, y) --> (x + 7, y - 4)
c)
(x, y) --> (x + 4, y - 7)
d)
(x, y) --> (7x, 4y)
13.

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

14.

Determine the degrees of rotation from each petal.

a)

20°

b)

72°

c)

45°

d)

60°

15.
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)
16.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
17.

Which picture shows a TRANSLATION?

a)
b)
c)
d)
18.

What is the rule for reflecting across x-axis

a)

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

b)

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

c)

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

d)

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

e)

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

19.

What is the rule for reflecting across y=x?

a)

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

b)

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

c)

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

d)

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

e)

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

20.

Which is equivalent to counter clockwise 270?

a)

clockwise 90

b)

clockwise 180

c)

clockwise 270

d)

clockwise 360

21.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

22.

Which transformation is shown?

a)

90o counterclockwise rotation

b)

Reflection over the line y = x

c)

Reflection over the line y = - x

d)

90o clockwise rotation

23.

Which of the following images shows a rotation of 180o?

a)
b)
c)
d)
24.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Rigid Transformations

c)

Congruent Transformatives

d)

Specialty Transformations

25.

What is the sequence of transformations for the image given? (Remember: The new Image has the prime symbols.)

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

26.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''? (Remember: You're transforming from purple, to green, to red.)

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

27.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees 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 about the origin.
28.

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

a)

The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.

b)

Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

c)

The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

d)

The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

29.
The shapes stay congruent when translating, rotating, and reflecting.
a)
True
b)
False
30.

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

31.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
32.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
33.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
34.

Identify the smallest angle of rotation that will map the regular octagon onto itself.

a)

60 degrees

b)

45 degrees

c)

36 degrees

d)

90 degrees

35.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
36.
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
37.

Reflect the image across x = -3

a)

I' (-1,-1) P' (-2,2) S' (-4,1) W' (-4,3)

b)

I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,3)

c)

I' (-1,-1) P' (-2,-2) S' (-4,-1) W' (-4,3)

d)

I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,-3)

38.

If figure WXYZ is rotated 270°counterclockwise around the origin, which figure would it produce?

a)

ABCD

b)

EFGH

c)

JKLM

d)

WXYZ

39.

Which of the following is NOT a rigid transformation?

a)
b)
c)
d)
40.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
41.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
42.
Identify the transformation from A to B.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
43.
a)

A

b)

B

c)

C

d)

D

44.

Identify the angles of rotation that maps the image to itself.

a)

multiples of 120°

b)

multiples of 180°

c)

multiples of 90°

d)

multiples of 60°

45.
Identify the angles of rotation that maps the image to itself.
a)
multiples of 72°
b)
multiples of 180°
c)
multiples of 144°
d)
multiples of 45°
46.

Which of the following transformation will map the trapezoid onto itself?

a)

x axis reflection

b)

reflection across green line

c)

rotation 90 degrees about (2,-1)

d)

reflection across the blue line

47.

Which transformation will map the parallelogram onto itself?

a)

reflection x axis

b)

reflection y axis

c)

refection across the green line

d)

none of these above

48.

which transformation will map the regular octagon onto itself? (select all that apply)

a)

30 degree rotation about the center

b)

45 degree rotation about the center

c)

120 degree rotation about the center

d)

225 degree rotation about the center

e)

270 degree rotation about the center

Similar Resources on Wayground

Ujian Akhir Sekolah

50 questions

Ujian Akhir Sekolah

quiz

Worksheet

•

9th Grade

اختبار من (120 - 140) نموذج (85) ا/وليد الجنزوري0508249931

45 questions

اختبار من (120 - 140) نموذج (85) ا/وليد الجنزوري0508249931

quiz

Worksheet

•

1st - 12th Grade

MT Revision

50 questions

MT Revision

quiz

Worksheet

•

10th Grade - University

Habilidad Matemática 1

50 questions

Habilidad Matemática 1

quiz

Worksheet

•

9th Grade

REMEDIAL

50 questions

REMEDIAL

quiz

Worksheet

•

11th Grade

SUMATIF TNGAH SMESTER KELAS XII

50 questions

SUMATIF TNGAH SMESTER KELAS XII

quiz

Worksheet

•

12th Grade

National Mathematics Day

50 questions

National Mathematics Day

quiz

Worksheet

•

11th - 12th Grade

Pre-Assessment 1.3 Arithmetic Sequence and Series

53 questions

Pre-Assessment 1.3 Arithmetic Sequence and Series

quiz

Worksheet

•

10th Grade