Practice Page
Directions: Read carefully. Rotations are counterclockwise unless otherwise stated.

1.
The image of the point (-4,3) under a rotation of 90º (counterclockwise) centered at the origin is _______.

Choose:
(-4,-3)
(3,-4)
(-3,4)
(-3,-4)
Rface

 

 

2.
ΔRST has R(-2,-2), S(3,5) and T(7,-4). What is the image of point T after a rotation of 180º about the origin?

Choose:
T ' (-7,-4)
T ' (-7,4)
T ' (7,4)
T ' (7,-4)
Rguy

 

 

3.
For the transformation shown at the right, what is the measure of the angle of rotation of ABCD about the origin?

Choose:
90º
180º
270º 360º
rot2

 

 

4.
After a rotation, point P = P'.
Which statement is true about the location of point P if this occurred?
Choose:
Point P and point P' were two distinct points equidistant from the center of the rotation.
Point P and point P' were two distinct points located on the same arc of rotation.
Point P was located at the center of the rotation.
Point P and point P' were two distinct points located on the same ray from the center of the rotation.

 

 

5.
A wind vane is an instrument for showing the direction of the wind. Prior to a wind gust, the arrow indicating the direction of the wind is pointing NE, as shown. As a wind gust passes, the wind vane rotates 270 degrees. In what direction is the wind vane pointing during the wind gust? The vane always rotates in the same direction as shown.
Choose:
SE
SW
NW
W
weather vane

 

 

6.
Rotate the line shown at the right 90º about the origin. Hint: rotate the x and y intercepts.
What is the equation of the resulting image?
Choose:
y = x + 5   
y = -x + 5
y = -x - 5
y = x
rotate6

 

 

7.
ΔABC is reflected in line m. Then
ΔA'B'C' is reflected in line k.
This double reflection is equivalent to which rotation of ΔABC ?

Choose:
RO.90º ABC) = ΔA"B"C"
RO.180º ABC) = ΔA"B"C"
RO.270º ABC) = ΔA"B"C"
RO.360º ABC) = ΔA"B"C"
rotate7

 

 

8.
A rotation of 120º counterclockwise is the same as a rotation of ____º clockwise.

Choose:
60º 120º 220º 240º
RCCW

 

 

9.
In the graph at the right, ΔABC has been transformed into ΔA'B'C'. Which transformation occurred?
(O = origin)
Choose:
rot10a
rot10d
rot10c
rot10b
rotate9

 

 

10.
ΔABC with A(1,1), B(7,-2) and C(1,-2) is rotated 90º about point R (-2,-4). What are the coordinates of the image of point B?
Choose:
B' (2,-7)
B' (-4,5)
B' (-7,2)
B' (-4,-5)
rotate10

 

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