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Translations & Reflections Practice

Total questions: 68

Worksheet time: 3hrs 55mins

Name
Class
Date
1.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
2.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
3.
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)
4.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
5.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

6.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

7.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
8.

Determine how to translate triangle ABC to triangle A'B'C' ?

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

9.

What is the algebraic representation 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)

10.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
11.
Determine where X' would be if you translated 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
12.
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
13.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
14.

Which figure is the Image?

a)
b)
15.

Which picture is an example of a translation?

a)
b)
c)
d)
16.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
17.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
18.

Reflect (-2, 5) over the y axis.

Think: What will change? the X or the Y?

a)

(-2, -5)

b)

(2, 5)

c)

(2, -5)

19.

Reflect (-8, -1) over the y-axis.

Think: What will change? the X or the Y?

a)

(8, -1)

b)

(8, 1)

c)

(-8, 1)

20.

Reflect (-2, 5) over the x axis.

Think: What will change? the X or the Y?

a)

(-2, -5)

b)

(2, 5)

c)

(2, -5)

21.

When you reflect a point over the x-axis, the _________ changes.

a)

x-coordinate

b)

y-coordinate

22.

When you reflect a point over the y-axis, the ____________ changes.

a)

x-coordinate

b)

y-coordinate

23.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
24.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
25.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
26.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
27.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
28.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
29.
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)
30.

What is the reflection of C (0,-4) over the x-axis?

a)

C' (-0, 4)

b)

C' (4, 0)

c)

C' (0, 4)

d)

C' (-4, 0)

31.

Find D' after a reflection across the y-axis.

a)

D'(-4,4)

b)

D'(-4,-4)

c)

D'(4,-4)

d)

D'(4,4)

32.

Triangle ABC has vertices A(0,6), B(7,6), and C(2,1).

Find A' after a translation 2 units right and 3 units down.

a)

(-2,-3)

b)

(2,3)

c)

(2,-3)

d)

(3,3)

33.
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)
34.

If I reflect ΔXYZ across the x-axis, what is the first step to drawing the reflection?

a)

Connect all of the dots

b)

Plot each new point the same number of units from the line of reflection

c)

Count the number of units each point is from the line of reflection

35.

Which two triangles are reflections of each other across the y-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

36.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

37.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

38.

Quadrilateral J is reflected over the x-axis. What is the image of the reflection?

a)

F

b)

G

c)

H

d)

Not shown

39.

What value changed on this x reflection?

a)

the x value

(side to side)

b)

the y value

(up and down)

40.

which value changed on the reflection on the y axis?

a)

the y value

(up and down)

b)

the x value

(side to side)

41.

Is the picture an x axis reflection or a y-axis reflection? Which axis does it jump over?

a)

x

b)

y

42.

Which axis does this reflection go over?

a)

x

b)

y

43.

Identify line of reflection

a)

x axis

b)

y axis

c)

y = x

d)

y = -x

44.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
45.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
46.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
47.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
48.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
49.
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)
50.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
51.
What does congruent mean?
a)
Same shape and same size
b)
Same shape but not necessarily same size
c)
Different shape and different size
d)
Different shape but same size
52.

What would be the coordinates of point A after being reflected across the y- axis. (Click on the picture to make bigger)

a)

(-2, 7)

b)

(2, -7)

c)

(-7, 2)

d)

(-7, -2)

53.

What would be the coordinates of point D after being reflected across the y- axis. (Click on the picture to make bigger)

a)

(-3, -3)

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

54.

What would be the coordinates of point E after being reflected across the x- axis. (Click on the picture to make bigger)

a)

(-2, 0)

b)

(2, 0)

c)

(0, -2)

d)

(0, 2)

55.

A flip is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

56.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

57.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
58.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
59.

If F(-2,4) was reflected over the Y-AXIS, what would the coordinated of F' be?

a)

F'(-2,-4)

b)

F'(2,-4)

c)

F'(2,4)

d)

F'(-2,4)

60.

If A(2,5) was reflected over the Y-AXIS, what would the coordinated of A' be?

a)

A'(2,-5)

b)

A'(-2,5)

c)

A'(5,2)

d)

A'(5,-2)

61.
A line that acts as a mirror so that corresponding points are the same distance from the mirror.
a)
line of rotation
b)
line of reflection
c)
line of dilation
d)
line of translation
62.

Reflect N across the y-axis.

a)
b)
c)
d)
63.

Reflect N across the x-axis.

a)
b)
c)
d)
64.

If you reflect point B ( -2, 5) over the y-axis, what is the reflected point?

a)

B' ( 2, 5)

b)

B' ( -2, -5)

c)

B' ( 2, -5)

d)

B' ( -2, 5)

65.

If you reflect the point D ( 5, -1) over the x-axis, what is the reflected point?

a)

D' ( 5, 1)

b)

D' ( -5, -1)

c)

D' ( -5, 1)

d)

D' ( 5, -1)

66.

If you reflect point C ( -1, -4) over the x-axis, what is the reflected point?

a)

C' ( -1, 4)

b)

C' ( 1, 4)

c)

C' ( 1, -4)

d)

C' ( -1, -4)

67.

What would the coordinates of A' be when A is reflected over the line where y = -2 ?

a)

(-4, 6)

b)

(-4, -6)

c)

(-4, -2)

d)

(-4, 2)

68.

What would the cooordinates of B' be after B is reflected over the line where x = -4 ?

a)

(-9, 2)

b)

(1, -2))

c)

(-1, 2)

d)

(-4, 2)