1. Transformations
Teacher Twins©2014

4. Transformations
Foldable

5. Rotations This part is glued into your notebook. Reflections
Transformations
Reflections
Rotations
Translations
Dilations

6. (x , y) (- x, y) (x , y) (x, - y) Inside Reflections Flap
A reflection is a transformation that produces a mirror image when a shape is reflected across a line.
Reflection across the y axis rule:
(x , y) (- x, y)
Reflection across the x axis rule:
(x , y) (x, - y)

7. (x, y) (- x, - y) (x, y) ( - y, x) (x, y) (y, -x)
Inside Rotations Flap
A rotation is when you turn a figure about a point.
90⁰ Clockwise Rotation About the Origin
(x, y) (y, -x)
180⁰ Rotation About the Origin
(x, y) (- x, - y)
90 ⁰ Counter Clockwise Rotation About the Origin(270⁰ clockwise)
(x, y) ( - y, x)

8. Inside Translations Flap
A translation is a transformation that moves a figure a certain distance in a given direction.
X axis left (negative - ) or right(positive +)
Y axis down(negative -) or up(positive +)
Right four units and down 2 units
(x, y) (x + 4), (y – 2)

9. Inside Dilations Flap
A dilation is a type of transformation that changes the size of a figure by a scale factor.
Triangle ABC is dilated by a scale factor of 2.
(x, y) (2x, 2y)

10. Triangle ABC is translated 2 units right and 3 units down (red).
Notice the red triangle is A’B’C’.
Triangle A’B’C’ is reflected across the y axis (green).
Notice the green triangle is A’’ B’’ C’’.
This is because triangle ABC has gone through two transformations.

11. Practice
Triangle ABC: A (0, 3), B(- 4, 8), C (- 2, 7)
Do the two transformations on triangle ABC.
Translate 1 unit left and 3 units up
Reflect over the x axis

12. Closure Write the ordered pairs for A (6,9), B(-5,4), C(2,-1)
After being reflected across the x axis and dilated by a scale factor 2.