Practice Page
Directions: Read carefully. The point O represents the origin.

1.
a) Find the image of the point (-3,3) after a rotation of 90º counterclockwise about the origin.
Choose:
(3,3)
(-3,-3)
(3.-3) (3,-3)

b)
Find the image of the point (-3,3) after a rotation of 270º clockwise about the origin.
Choose:
(3,3)
(-3,-3)
(3,-3)
(3,-3)
refgraph1

 

 

2.
ΔABC is rotated 90º counterclockwise about the origin. What are the coordinates of the vertices of its image?
R
O,90º(ΔABC) = (ΔA'B'C')

Choose:
A' (1,1), B' (-2,-3), C' (-2,1)
A' (-1,1), B' (3,-2), C' (1,2)
A' (1,-1), B' (-3,2), C' (1,2)
A' (1,-1), B' (-3,-2), C' (-1,2)
rotgraph4

 

 

3.
What is the image of the point (-5,2) under a rotation of 180º about the origin?

Choose:
(-5,-2)
(5,2)
(2,-5)
(5,-2)
spin

 

 

4.
Which of the triangles shown is not a rotation of triangle A about the origin?

Choose:
B
C
D
rotgraph2

 

 

5.
A rotation about the origin moves A(3,5) to B(-5,3). What are the coordinates of the image of point (-3,-5) under this same rotation?
Choose:
(5,-3)
(-5,3)
(-5,-3)
(3,5)
spin2

 

 

6.
Rectangle ABCD has been rotated counterclockwise 180º about the origin, followed by a reflection in the x-axis.
Which of the following single transformations will accomplish this same move?


rotgraph5
  Choose:
90º clockwise rotation in (0,0)
reflection over y-axis
reflection over line y = x
180º clockwise rotation in (0,0)

 

 

7.
ΔFUN is shown at the right. Find the coordinates of vertex U under a clockwise rotation of 90º about the origin.

Choose:
(3,-4)
(-4,3)
(4,-3)
(-3,-4)
refgraph3a

 

 

8.
Point A is rotated 180º counterclockwise about the origin. If the coordinates of A are (-1,3), what are the coordinates of A', its image?
Choose:
(-1,-3)
(1,-3)
(-3,-1)
(3,-1)
rotspin

 

 

9.
In the graph at the right, ΔABC has been transformed into ΔA'B'C'. Which transformation occurred?
(O = origin)


Choose:
rot10d
rot10c
rot10b
rottwo

 

 

10.
The coordinates of the endpoints of BC are B(5,1) and C(-3,-2), Under the transformation RO, 90º , the image of BC is BCprime. State the coordinates of points B' and C' ?

Choose:
B' (-1,5), C' (2,3)
B' (-5,-1), C' (3,2)
B' (-1,-5), C' (2,3)
B' (-1,5), C' (2,-3)
segmentBC

 

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