1. Transformations

2. Congruent Figure Transformations
Reflection
Translation
Rotation
Pre-Image
Image
Mapping
A flip across a line (line of reflection)
A slide along a vector
A spin around a point (counter-clockwise)
The starting figure (before movement)
The figure after a transformation (1st = prime, 2nd = double prime, 3rd= triple prime ….)
The progression of movements

3. Transformation of Similar Figures
Shapes grow or shrink based on a scale factor
Dilation
1. All angles measures stay the same
2. All sides change proportionally

4. Symmetry Symmetry…..when a shape has two matching (identical) pieces.
Line of Symmetry….the line across which the shape has two identical pieces.

5. Example #1
How many lines of symmetry for each figure….

6. Example #2
How many lines of symmetry for each figure….

7. Vector Notation
< x , y > < x + 3, y –1 > ______________________ < x, y > < -x, y > _________________________ < x, y > < x, -y > ____________________________ < x, y > < -y, x > ____________________________ < x, y > < -x, -y > ___________________________ < x, y > < y, -x > ___________________________
Translation – 3 right, 1 down
Reflection across the y axis
Reflection across the x axis
Rotation 90o (counter-clockwise)
Rotation 180o (counter-clockwise)
Rotation 270o (counter-clockwise)

8. Example #3
Reflect the triangle over the y-axis……..

9. Example #4
translate along <8, 3>

10. Example #5
Rotate 90o

11. Example #7
Reflect the parallelogram over the x-axis, then along <9, -3>

12. Example #8
Reflect the trapezoid over the y-axis, then over the x-axis……..

13. Example #9
Reflect the figure over the X-Axis, then rotate 180 degrees clockwise.