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Transformations - Translation and Reflections

Total questions: 16

Worksheet time: 44mins

Name
Class
Date
1.

Which of the following best describes a translation in geometry?

a)

Making a figure bigger/smaller

b)

Reflecting a figure over a line

c)

Sliding a figure left/right/up/down without changing the size

d)

Turning a figure around a certain point

2.

Which of the following best describes a reflection in geometry?

a)

Making a figure bigger/smaller

b)

Reflecting a figure over a line

c)

Sliding a figure left/right/up/down without changing the size

d)

Turning a figure around a certain point

3.
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
4.
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
5.

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)

6.

Write the rule for this translation:

Slide 4 left and 2 down

a)

(x, y) -> (x - 4, y - 2)

b)

(x, y) -> (x+2, y + 4)

c)

(x, y) -> (x - 2, y - 4)

d)

(x, y) -> (x +4, y + 2)

7.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
8.

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

a)

(x, y) --> (x + 2, y - 5)

b)

(x, y) --> (x + 2, y - 9)

c)

(x, y) --> (x - 2, y - 9)

d)

(x, y) --> (x - 2, y + 9)

9.
How would you translate point P to P'?
a)
Translate 2 units to the right and  8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
10.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

11.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

12.

Describe the transformation in the image

a)

Reflection over x-axis

b)

Reflection over y - axis

c)

Reflection over y = x

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.
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
15.
What transformation is occurring? (x-4, y+2)
a)
Left 4, Up 2
b)
Left 4, Down 2
c)
Right 4, Up 2
d)
Right 4, Down 2
16.
What transformation is occurring? (x+1, y-2)
a)
Left 1, Up 2
b)
Left 1, Down 2
c)
Right 1, Up 2
d)
Right 1, Down 2