Math 8: Rigid Transformations
Notes #____
Section #4: Rotations About the Origin. CCSS-8.G. A. 1 & 2.
Corresponds with Module 2, Lessons 5 & 6.
_________________________________
Rotations About the Origin
Rotation: a transformation that _______________ a figure about a fixed point a given
__________________ and number of ___________________.
DIRECTION
DEGREES
To perform a rotation about the origin:
1. _____________ your paper the required direction and degrees.
2. Starting at the _______________, count how many units right/left and up/down it
takes to get to a vertex of the figure.
3. Turn your paper to its _________________ position.
4. Starting at the ____________, move the same units right/left and up/down you
found in step 2.
5. _________________ this point as prime with an apostrophe(‘).
6. _______________ steps 1 – 4 for each vertex of the figure.
Example#1: Find the image of ABC under a rotation of 90 counter-clockwise about
the origin.
Example#2: Find the image of ABC under a rotation of 90 clockwise about the
origin.
Example#3: Find the image of ABC under a rotation of 180 about the origin.
Math 8: Rigid Transformations
HW #____
Section #4: Rotations About the Origin. CCSS-8.G. A. 1 & 2.
Corresponds with Module 2, Lessons 5 & 6.
_________________________________
Rotations About the Origin
1) Graph the image after a 90 rotation
counter-clockwise about the origin.
2) Graph the image after a 180
rotation about the origin.
T’(___, ___), I’(___, ___), E’(___, ___)
L’(___, ___), G’(___, ___), Q’(___, ___)
3) Graph the image after a 90
rotation clockwise about the origin.
H.O.T. Graph the image after a 90 rotation counterclockwise about the origin and label Z’M’P’D’.
Then rotate the new image Z’M’P’D’ 180 and
Label this Z”M”P”D”.
I’(___, ___), T’(___, ___), Y’(___, ___)
Z’(___, ___), M’(___, ___), P’(___, ___), D’(___, ___)
Z”(___, ___), M”(___, ___), P”(___, ___), D”(___, ___)