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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 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
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
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
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