4.10 gn turn it! rotation - math...

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Rotation: A transformation where a figure is _____________________ around a fixed _____________ to create a new _______________. The lines drawn from the original figure to the __________________ ______ _______________________, and from the center of rotation to the final figure form the _______________ _______ ____________________. Label the center of rotation and the angle of rotation. In this unit, we will only rotate _______________________ ____________________________ unless otherwise specified! Draw an arrow going counter clockwise on the clock. 80° clockwise rotation = ________° counter clockwise rotation? How do you know? The Key: ______________ Did you know? Vocab! Guided Notes! 4.10

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Page 1: 4.10 GN Turn It! Rotation - Math 6hatchmath.weebly.com/uploads/2/2/5/3/22538346/4.10_gn_turn_it_rotation_.pdf+Rotation+on+the+Coordinate+Plane:+To!_____!a!figure!in!the! coordinate!plane,!we!use!the!_____!as!the!_____!of!rotation.!!!

 

Rotation:  A  transformation  where  a  figure  is  _____________________  around  a  

fixed  _____________  to  create  a  new  _______________.    

   

• The  lines  drawn  from  the  original  figure  to  the  __________________    ______    

_______________________,  and  from  the  center  of  rotation  to  the  final  figure  form  

the  _______________    _______  ____________________.    

 

  Label  the  center  of  

rotation  and  the  

angle  of  rotation.    

In  this  unit,  we  will  only  rotate  _______________________    

______________-­‐______________  unless  otherwise  specified!    

Draw  an  arrow  going  counter  clock-­‐wise  on  the  clock.  

 80°  clock-­‐wise  rotation  =  ________°  counter  clock-­‐wise  rotation?    

How  do  you  know?      The  Key:  ______________  

Did you

know?

Vocab!

Guided Notes! 4.10  

Page 2: 4.10 GN Turn It! Rotation - Math 6hatchmath.weebly.com/uploads/2/2/5/3/22538346/4.10_gn_turn_it_rotation_.pdf+Rotation+on+the+Coordinate+Plane:+To!_____!a!figure!in!the! coordinate!plane,!we!use!the!_____!as!the!_____!of!rotation.!!!

 Rotation  on  the  Coordinate  Plane:  To  __________________  a  figure  in  the  

coordinate  plane,  we  use  the  ____________  as  the  ___________________  of  rotation.    

Vocab!

 Rotate  segment  AB  180°    when  A(          ,          )  and  B(          ,          ).  Find  the  coordinates  of  A’  and  B’.    

Example!

A’  =  ____________________  

B’  =  ____________________  

A(          ,          )    à  A’(          ,            )    

B(          ,          )    à    B’(          ,          )  

In other words, 180° rotation:

( , ) à ( , )

 200°  clock-­‐wise  rotation  =  ________°  counter  clock-­‐wise  rotation?    

How  do  you  know?      The  Key:  ______________  Try

this

one!

B

A

Page 3: 4.10 GN Turn It! Rotation - Math 6hatchmath.weebly.com/uploads/2/2/5/3/22538346/4.10_gn_turn_it_rotation_.pdf+Rotation+on+the+Coordinate+Plane:+To!_____!a!figure!in!the! coordinate!plane,!we!use!the!_____!as!the!_____!of!rotation.!!!

Let’s Tr

y

Another

Rotate  ΔABC  90°  when  A(          ,            ),  B(          ,            ),  and  C(          ,            ).      Find  the  coordinates  of  A’,  B’  and  C’    

A’  =  ________________  

B’  =  ________________  

C’  =  ________________  

A(          ,          )    à  A’(          ,            )    

B(          ,          )    à    B’(          ,          )  

C(          ,            )    à  C’(          ,          )    

In other words, 90° rotation:

( , ) à ( , )

Let’s Tr

y

Another

Rotate  figure  ABCD  270°  when  A(          ,          ),  B(          ,          ),  C(          ,        )  and  D(          ,          ).  Find  all  the  prime  coordinates.  

A’  =  __________________  

B’  =  __________________  

C’  =  __________________  

D’  =  __________________  

A(          ,          )    à  A’(          ,            )    

B(          ,          )    à    B’(          ,          )  

C(          ,            )    à  C’(          ,          )    

D(          ,          )    à  D(          ,          )  

In other words, 270° rotation:

( , ) à ( , )

C

B

A

B

C

D

A

Page 4: 4.10 GN Turn It! Rotation - Math 6hatchmath.weebly.com/uploads/2/2/5/3/22538346/4.10_gn_turn_it_rotation_.pdf+Rotation+on+the+Coordinate+Plane:+To!_____!a!figure!in!the! coordinate!plane,!we!use!the!_____!as!the!_____!of!rotation.!!!

 

1

2

3

Rotate  ΔABC  counter  clock-­‐wise  90°.    Label  the  new  image,  ΔA’B’C’  and  list  the  coordinates  below.

A  =  __________________  

B  =  __________________  

C  =  __________________  

 

A’  =  __________________  

B’  =  __________________  

C’  =  __________________  

 

Rotate  ΔGHI  270°.  counter  clock-­‐wise.    Label  the  new  image,  ΔG’H’I’  and  list  the  coordinates  below.

G  =  __________________  

H  =  __________________  

I  =  ___________________  

 

G’  =  __________________  

H’  =  __________________  

I’  =  ___________________  

 

Rotate  polygon  MNOP  180°  counter  clock-­‐wise.    Label  the  new  image,  M’N’O’P’  and  list  the  coordinates  below.

M  =  __________________  

N  =  __________________  

O  =  __________________  

P  =  __________________  

M’  =  _________________  

N’  =  _________________  

O’  =  _________________  

P’  =  _________________  

A

B

C

G H

I

N

O

P M