Geometry Notes: Rotations Clockwise (CW): Counterclockwise (CCW)

Geometry Notes: Rotations

Rotate:________________________________________________________

Clockwise (CW):

Counterclockwise (CCW):

There are _________ degrees in a circle. When we rotate clockwise or counterclockwise, the two rotations should always add up to _________ degrees.

Examples

What rotation will take P to P'?

1.

2.

P

C 75 P'

CW _______ CCW ______

P C P'

CW _______ CCW ______

3.

P'

C 40 P

CW ______ CCW _____

4. Which figure is a rotation of the original?

a)

b)

c)

5. Which figure is a rotation of the original?

a)

b)

c)

Rules of Rotation

90 CW or 270 CCW 180 CW or 180 CCW 90 CCW or 270 CW

(x, y) (y, x) (x, y) (x, y) (x, y) (y, x)

1. Rotate TRY 90 CW from the origin. Call it T'R'Y'.

R

T ________

Y T

R ________ Y ________

T' ________ R' ________ Y' ________

2. Rotate TRY 90 CCW from the origin. Call it T'R'Y'.

R

T ________

Y T

R ________ Y ________

T' ________ R' ________ Y' ________

3. Rotate TRY 180 CW from the origin. Call it T'R'Y'.

R T ________

Y T

R ________

Y ________

T' ________ R' ________ Y' ________

4. a. Rotate 270 CW from the origin. Call it H'A'T'.

H _______ H' _______

A _______ A' _______

T _______ T' _______

b. Reflect over the line x 1 . Call it H"A"T".

H" _______

A" _______

H A

T

T" _______

c. Translate 3 right and 4 down. Call it BUG.

B _______

U _______

G _______

Is congruency preserved? Is orientation preserved?

Translation

Reflection

Rotation

Geometry Rotations Worksheet

Name: _______________________

Rules of Rotation

90 CW or 270 CCW 180 CW or 180 CCW 90 CCW or 270 CW

(x, y) (y, x) (x, y) (x, y) (x, y) (y, x)

1. Rotate LEG 90 CW from the origin. Call it L'E'G'.

L ________

L' ________

E ________

E' ________

L E

G ________

G' ________

G

2. Rotate TOE 270 CW from the origin. Call it T'O'E'.

T

T ________

T' ________

O E

O ________ E ________

O' ________ E' ________

3. Rotate 180 CCW from the origin. Call it L'I'P'.

L ________

I ________

L

P ________

L' ________ I' ________ P' ________

P I

4. a. Rotate 270 CW from the origin. Call it F'U'N'.

F _______ F' _______ U _______ U' _______

F U

N

N _______ N' _______

b. Reflect over the line x 1 . Call it F"U"N".

F" _______

U" _______

N" _______

c. Translate 2 right and 5 up. Call it TYM.

T _______

Y _______

M _______

5. What rotation will take P to P'?

a.

P

b.

C 35 P'

P C P'

CW _______

CW _______

CCW ______

CCW ______

P'

c.

C 20 P

CW ______ CCW _____

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