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AJH 8Math Transformations 2/14/24

Total questions: 92

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

2.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

3.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

4.
Translations, reflections and rotations are all known as ________________________.
a)

Rigid Geometry

b)

Rigid Transformations

c)

Rigid Congruent

5.
Are these two shapes congruent or not congruent?
a)

congruent

b)

not congruent

6.
Are these shapes congruent or not congruent?
a)

congruent

b)

not congruent

7.
Are these two shapes congruent or not congruent?
a)

congruent

b)

not congruent

8.
Are these shapes congruent?
a)

Yes

b)

No

9.

Angle A corresponds to which angle?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

10.

Which side corresponds to side DF?

a)

AB

b)

AC

c)

BC

d)

ED

11.
Tell whether the two figures are congruent.
a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

12.

If LMNO is congruent to WZYX, Which angle is congruent to ∠O?

a)

∠Z

b)

∠X

c)

∠Y

d)

∠W

13.

If Δ ABC is congruent to Δ DEF , which side corresponds to AC?

a)

EF

b)

DF

c)

BE

14.

If Δ ABC is congruent to Δ DEF , which angle is congruent to angle B?

a)

∠E

b)

∠D

c)

∠C

d)

∠F

15.

Translate the blue shape TO the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

16.

Translate the pink shape TO the blue shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

17.

Translate the blue shape TO the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

18.

Translate the green shape TO the blue shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

19.

Translate the blue shape TO the green shape...

a)

4 Down

b)

4 Up

c)

3 Down

d)

3 Up

20.

Translate the green shape TO the blue shape...

a)

4 Down

b)

4 Up

c)

3 Down

d)

3 Up

21.

Translate the blue shape to the green shape...

a)

5 Right

2 Up

b)

5 Left

2 Down

c)

5 Right

5 Up

d)

5 Left

5 Down

22.

Translate the green shape to the blue shape...

a)

5 Right

2 Up

b)

5 Left

2 Down

c)

5 Right

5 Up

d)

5 Left

5 Down

23.

Translate shape A to shape B...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

24.

Translate shape B to shape A...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

25.

Translate shape A to shape B...

a)

1 Left

5 Up

b)

1 Right

5 Down

c)

1 Left

4 Up

d)

1 Right

4 Down

26.

Translate shape B to shape A...

a)

1 Left

5 Up

b)

1 Right

5 Down

c)

1 Left

4 Up

d)

1 Right

4 Down

27.

Translate shape A to shape B...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

28.

Translate shape B to shape A...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

29.

Translate shape C to shape A...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

30.

Translate shape A to shape C...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

31.

Translate shape C to shape B...

a)

5 Right

1 Up

b)

5 Left

1 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

32.

Translate shape B to shape C...

a)

5 Right

1 Up

b)

5 Left

1 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

33.

Translate shape A to shape B...

a)

5 Right

1 Down

b)

5 Left

1 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

34.

Translate shape B to shape A...

a)

5 Right

1 Down

b)

5 Left

1 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

35.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

36.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

37.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

38.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

39.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

40.

Describe the reflection. Which axis is the point being reflected over?

a)

x-axis

b)

y-axis

41.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

42.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

43.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

44.

Describe the reflection. Which axis is the shape being reflected over?

a)

x-axis

b)

y-axis

45.

When translating a figure on a coordinate plane, which coordinate is affected by movement up and down?

a)

The x-coordinate

b)

The y-coordinate

c)

Neither

46.

When translating a figure on a coordinate plane, which coordinate is affected by movement left and right?

a)

The x-coordinate

b)

The y-coordinate

c)

Neither

47.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

48.
Flipping a figures is a ...
a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

49.
What does a translation do to an image?
a)

Turns it 90 degrees clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

50.

Triangle A was translated to triangle B. How was it translated?

a)

+10 in x-direction , -3 in y-direction

b)

+ 10 in x-direction, -4 in y-direction

c)

+9 in x-direction , -3 in y-direction

d)

+11 in x-direction , -3 in y-direction

51.

Point W located at (-5 , -5) is translated -5 in the x-direction and +5 in the y-direction. What are the new coordinates?

a)

(0 , -10)

b)

(0 , 0)

c)

(-10 , -10)

d)

(-10 , 0)

52.
The result of a transformation.
a)

Pre-image

b)

Image

53.
The original figure prior to a transformation.
a)

Pre-image

b)

Image

54.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

55.
Write the rule for this translation:
Slide 3 up and 2 right
a)

(x, y)---->(x + 3, y + 2)

b)

(x, y)-----> (x+2, y + 3)

c)

(x, y)----> (x - 2, y + 3)

56.
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
57.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
58.
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
59.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis
60.
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
61.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
62.
Which rule would dilate shows a scale factor of 4
a)
(x, y) → (y, x)
b)
(x, y) → (x + 4, y + 4)
c)
(x, y) → (x, -y)
d)
(x, y) → (4x, 4y)
63.
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)
64.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
65.

Which of the following transformations produces a figure that is congruent to the original figure?

a)

Rotations

b)

Reflections

c)

Translations

d)

Dilations

66.

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

67.

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

68.

The coordinate plane is divided by a horizontal number line called ______________

a)

x-axis

b)

y-axis

c)

origin

d)

quadrant

69.

The coordinate plane is divided by a vertical number line called ______________

a)

x-axis

b)

y-axis

c)

origin

d)

quadrant

70.

The coordinates for the origin in the coordinate plane are________

a)

(x,y)

b)

(0,0)

c)

(1,1)

d)

(2,8)

71.

In which quadrant is point N?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

72.

In which quadrant is point P?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

73.

What is the coordinate for point C?

a)

(2,4)

b)

(4,2)

c)

(2,5)

d)

(-2,4)

74.

If my coordinates are (3, 4) what is my y?

a)

3

b)

4

c)

There is no y

75.

If I want to plot point (4,9), I will go up 4 and over 9

a)

True

b)

False

76.

What is the coordinate for point A?

a)

(2,2)

b)

(2,-2)

c)

(-2,2)

d)

(-2,-2)

77.

What is the coordinate for point D?

a)

(2,2)

b)

(2,-2)

c)

(-2,2)

d)

(-2,-2)

78.

What is the new coordinate of point A (3,5) if we translate it 3 units right and 2 units down?

a)

(6,3)

b)

(3,6)

c)

(3,2)

d)

(0,0)

79.

What is the new coordinate of point A (5,3) if we translate it 2 units left and 2 units up?

a)

(7,5)

b)

(5,7)

c)

(5,1)

d)

(0,0)

80.

Figure ABCD is rotated 90 degrees CW about the origin to produce Figure A'B'C'D'. What is the length, in units, of line segment C'D'?

(a)  

81.

Line segment DM with endpoints D(-4,5) and M(6,0), is reflected about the x-axis to give line segment D'M'. What are the coordinates of Point D'?

a)

(-4,-5)

b)

(4,-5)

c)

(-4,5)

d)

(4,5)

82.

Which transformation does NOT preserve congruence?

a)

translation

b)

reflection

c)

rotation

d)

dilation

83.

Which transformation(s), no matter which one you do, will the resulting image be congruent?

a)

translation

b)

reflection

c)

rotation

d)

dilation

84.

Transformation 1 results Figure A to Figure A'. Transformation 2 results Figure A' to Figure A''. Determine which transformations maps Figure A to A' to A''.

a)

a vertical reflection

b)

a horizontal reflection

c)

a translation

d)

a rotation

85.

If two angles are congruent, then

a)

the sum of the two angles is 90 degrees.

b)

the sum of the two angles is 180 degrees.

c)

the two angles are both acute.

d)

the two angles have equal measures.

86.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
left 2, up 9
b)
right 2, down 9
c)
left 2, down 9
d)
left 2, up 5
87.
A(-2, 2) and B(3, 2)
Reflect over the x-axis 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
88.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
89.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
90.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
91.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
92.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False

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