Rotations

90 degrees

100

Rotate point A(3, 2) 90° clockwise about the origin. What are the coordinates of A′?

A'(2,-3)

200

Rotate the point (1, 5) 90 degrees clockwise

(5,-1)

300

Rotate the point (-8, -4) 90 degrees clockwise

(-4, 8)

400

What is the rule for rotating 90 degrees clockwise

(y, -x) 

x & y switch places, change the sign of the second number

500

Rotate the shape 90 degrees clockwise 

A: (5,4) 

B: (8, 4) 

C: ( 7, 10)

A': (4, -5) 

B': (4, -8) 

C' : (10, -7) 

180 degrees

100

Rotate point B(−4, 1) 180° about the origin. What are the coordinates of B′?

B'(4,-1)

200

Rotate the point (5, 6) 180 degrees clockwise

(-5, -6) 

300

Rotate the shape 180 degrees clockwise 

A: (5,4) 

B: (8, 4) 

C: ( 7, 10)

A':(-5,-4) 

B': (-8, -4) 

C': (-7, -10)

400

What is the rule for rotating a shape 180 degrees clockwise

(-x, -y) 

Change the signs of x & y

500

Rotate the point (-1, 5) 180 degrees around the origin

(1,-5)

270 degrees

100

Rotate point C(0, 5) 180° about the origin. What is C′?

C'(0,-5)

200

Rotate the point (9, 7) 270 degrees clockwise

(-7, 9) 

300

Rotate the shape 270 degrees clockwise 

A: (5,4) 

B: (8, 4) 

C: ( 7, 10)

A': (-4, 5) 

B': (-4, 8) 

C': (-10, 7) 

400

What is the rule for rotating a shape 270 degrees clockwise

(-y, x) 

x & y change places, change the sign of the first number

500

Rotate the point (-8, 5) 270 degrees clockwise 

(-5, -8) 

Mystery 1

100

Rotate the point M(-9, 5) 90 clockwise

M'(5, 9) 

200

Rotate the point (3, 8) 270 degrees clockwise

(-8, 3) 

300

Rotate the shape 180 degrees clockwise 

A: (3,4) 

B: (7, 4) 

C: ( 6, 10)

A': (-3, -4) 

B': (-7, -4) 

C': (-6,-10) 

400

What is the rule for rotating an object 360 degrees from the origin?

(x,y)---->(x,y)

x and y stay the same because the figure would return to its original spot

500

Rotate the shape 270 degrees clockwise 

A: (-4,1) 

B: (-8, 1) 

C: ( -7, 5)

A': (-1, -4) 

B': (-1, -8) 

C' : (-5, -7) 

Mystery 2

100

Rotate the point Z(-8, 9) 180 degrees clockwise

Z'(8, -9)

200

Rotate the point (8, -4) 90 degrees clockwise

(-4, -8) 

300

Rotate the shape 180 degrees clockwise 

A: (5,-4) 

B: (8, -4) 

C: ( 7, -10)

A':(-5, 4) 

B': (-8, 4) 

C': (-7, 10) 

400

What is the rule for rotating an object 90 degrees counterclockwise from the origin?

(x,y)----->(-y,x)

The y-value (back number) would change then the numbers would trade places

500

Rotate the shape 90 degrees clockwise 

A: (-2,-4) 

B: (-8, -4) 

C: ( -5, -10)

A':(-4, 2) 

B': (-4,8) 

C': (-10, 5)