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Reflections and Translations

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

Which triangle is a translation of triangle X?

a)

triangle A

b)

triangle B

c)

triangle C

d)

triangle D

2.

Which shows this triangle when it is translated two units left?

a)
b)
c)
d)
3.

Jean transformed a point by using the rule (x-6,y+8). The image point is (-4,1). Which point is the pre-image

a)

(-10,9)

b)

(2,-7)

c)

(-2,7)

d)

(10,-9)

4.
What is the algebraic representation of translating a figure 3 units left and 5 units down?
a)
(x+5, y-3)
b)
(x-5, y+3)
c)
(x-3, y+5)
d)
(x-3, y-5)
5.
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
6.
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
7.
What is the algebraic representation for reflecting a figure over the x-axis?
a)
(x, y) --> (x, -y)
b)
(x, y) --> (-x, -y)
c)
(x, y) --> (-x, y)
d)
(x, y) --> (y, -x)
8.
What is the algebraic representation for reflecting a figure over the y-axis?
a)
(x, y) --> (x, -y)
b)
(x, y) --> (-x, y)
c)
(x, y) --> (-x, -y)
d)
(x, y) --> (y,x)
9.
Which point shows a reflection of point      X(9, -2) over the x-axis?
a)
(-2, 9)
b)
(9, -2)
c)
(9, 2)
d)
(-9, -2)
10.
Which point shows a reflection of point      Y(-5, -7) over the y-axis?
a)
(5, -7)
b)
(-5, -7)
c)
(5, 7)
d)
(5, 7)
11.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
12.
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)
13.
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
14.

Reflecting over the y-axis CHANGES the ____-_____________.

a)

y-coordinate

b)

x-coordinate

15.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

16.

Which graph shows the pre-image reflected over y-axis?

a)
b)
c)
d)
17.

When you reflect over the x axis, what stays the same?

a)

x stays the same

b)

y stays the same

c)

z stays the same

d)

q stays the same

18.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
19.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
20.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

21.
Describe the translation of Point A (3, -8) to A'(-4, -5).
a)
(x-4, y-5)
b)
(x+7, y-3)
c)
(x-7, y+3)
d)
(x-3, y+7)
22.
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
23.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
24.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
25.
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)
26.
In a translation, the preimage and image are ___________.
a)
congruent
b)
similar
c)
different
d)
red
27.

What does the word translation mean in math?

a)

To change an object by flipping it

b)

To change an object by turning it

c)

To change an objects by sliding it

28.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
29.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
30.

What are the signs of a coordinate in quadrant III?

a)

(+,+)

b)

(+,-)

c)

(-,-)

d)

(-,+)

31.
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
32.
What is this transformation?
(x, y) ----> (-x, y) 
a)
Reflect over the x axis
b)
Reflect over the y-axis
c)
Slide down 1
d)
slide left 1
33.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
34.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
35.
Reflect the image over the y-axis.  Which quadrants will the image be located in?
a)
Quadrant I and II
b)
Quadrant II and III
c)
Quadrant III and IV
d)
Quadrant I and IV
36.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
37.
The result of a transformation.
a)
Pre-image
b)
Image
38.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
39.
Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? 
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4) 
40.

Level 1 True or false: When a point is reflected across a line of symmetry, it remains the same distance from the line.

a)

true

b)

false

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