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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the figure 180 degrees about the origin.

• A
• C
• B
• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the rule after a 90° COUNTER CLOCKWISE rotation:

(x, y) ---> ___________

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 270 counterclockwise 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the rule for rotating a figure 180 degrees

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5