Performing transformations

What are the coordinates of the image of point C(3, 6) after a positive 90-degree rotation?

• (-3, 6)

• (3, -6)

• (-6, 3)

• (6, 3)

What is the image of M (4, -8) after a rotation 270° clockwise?

• M' (-8, 4)

• M' (8, 4)

• M' (-4, -8)

• M' (-8, -4)

Rotate the figure 180 degrees about the origin.

• A
• C
• B
• D

Identify the rule after a 90° COUNTER CLOCKWISE rotation:

(x, y) ---> ___________

• ( y, -x)
• ( -y, x)
• ( -x, -y)
• ( y, -x)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 270 counterclockwise 

The triangle is rotated 90^o counter-clockwise. The new coordinates are

• (-1, 1), (-4, 1), (-1, 5)
• (1, -1), (4, -1), (1, -5)
• (1, 1), (1, 4), (5, 1)
• (-1, -1), (-1, -4), (-5, -1)

What is the exact ordered pair after rotating around 60^o

• (cos(60), sin(60))

• (sin(60), cos(60))

• (cos(60), tan(60))

• (6, 0)

What is the rule for rotating a figure 180 degrees

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Which type of rotation will not change the orientation of an object?

• 90^o rotation

• 180^o rotation

• 270^o rotation

• 360^o rotation

Answer explanation

360 degree rotation does not change the orientation because it is a full rotation and will result in the figure being back where it started.

All other rotations result in the figure changing orientation.

The rule for rotation of 90 degrees counterclockwise is  
(x, y) --> _

• (y, -x)
• (-y, x)
• (x, -y)
• (-x, y)