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Worksheets

Transformations - Compositions WHS

Total questions: 15

Worksheet time: 24mins

Name
Class
Date
1.

A double reflection over two parallel line results in a ____________.

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

2.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

3.

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

4.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

5.

A double reflection over the x- and y-axes is the same as a ____________ of ______.

a)

Rotation of 180 Degrees

b)

Rotation of 90 Degrees

c)

Reflection over the x-axis

d)

Reflection over the y-axis

6.
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
7.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation T2, -1 (translation x+2, y-1) then reflect over the y-axis?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(-3, -3), (1, 5), (-6, 4)

d)

(-1, -2), (3, 6), (-4, 5)

8.

If the coordinates of point P are (2, -3) , then what are the image coordinates after a Rotation R90 then R180

a)

(-2, 3)

b)

(-2, -3)

c)

(3, -2)

d)

(-3, -2)

9.
Describe the transformations that map ABC onto A"B"C"
a)
translate 5 up and 1 left then reflect over y
b)
translate 5 down and 1 left, then reflect over y
c)
reflect over y=x then translate left 8
d)
reflect over x then rotate 90 clockwise
10.
Name the series of transformations that maps ABC onto DEF
a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
11.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
12.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations?  (x,y)(x+2, y4)\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)  then reflected over the  yaxis?y-axis?  

a)

 P(4, 1)P'\left(-4,\ 1\right)  

b)

 P(4, 1)P'\left(-4,\ -1\right)  

c)

 P(1, 4)P'\left(1,\ -4\right)  

d)

 P(1, 4)P'\left(-1,\ -4\right)  

13.

What is the ordered pair for the final location of P( -7, 3) after this series of transformations?  (x,y)(x, y+3)\left(x,y\right)\rightarrow\left(x,\ y+3\right)  then rotated  90°90\degree  clockwise about the origin.

a)

 P(7, 6)P'\left(-7,\ 6\right)  

b)

 P(7, 6)P'\left(-7,\ -6\right)  

c)

 P(6, 7)P'\left(6,\ -7\right)  

d)

 P(6, 7)P'\left(6,\ 7\right)  

14.
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.
15.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
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