1. Do-Now
Find the value of x.
A = 20
A = 35 x 4
x – 2 2x 3x
A = 96 13 5

2. Types of Transformations:
Line Symmetry – can draw a line through the figure to make two equal halves.
Transformation – operation that maps, or moves, a pre-image onto an image.
Types of Transformations:
Reflection – uses a line that acts like a mirror (line of reflection)
Pre-Image – original figure
Image – new figure

3. Now try reflecting the original shape in the y-axis!!!!
Reflection
**Count the number of spaces to the reflection and then go that far out.
In the x-axis
Ex: Reflect Parallelogram ABCD with
A(2, –1), B(8, –1),
C(10, –4), D(4, –4)
in the x-axis.
Now try reflecting the original shape in the y-axis!!!!

4. Now reflect in the line y = –1.
In the line y = x
y = x
Example: Reflect Triangle SUN with S(–2, 2),
U(–1, 4),
N(–4, 7)
in the line y = x.
y = –1
Now reflect in the line y = –1.

5. **Start at (x, y) and go to (x + h, y + k)
Translation – slides the figure a given distance
**Start at (x, y) and go to (x + h, y + k)
Use the translation (x + 3, y – 2) for each.
(2, 1)
(–5, 3)
(5, –1)
(–2, 1)
Under the translation (x – 5, y + 4), move quadrilateral ABCD with A(4, 1), B(6, 3), C(2, 3), D(1, –1).

6. Under the translation (x – 5, y + 4), move quadrilateral ABCD with A(4, 1), B(6, 3), C(2, 3), D(1, –1).