1. Warm-up ~ Welcome!!
Given ΔRED with R(-1, 4), E(3, 2) and D(-2, -3). What are the new coordinates if you: 1. Reflect over x-axis? 3. Reflect over y = x? 2. Reflect over y-axis? 4. Translate T(x - 2, y + 1)?

2. I need some answers put up!

3. Let’s Talk about Notation Real Quick
Translation T(x, y) = (x + h, y + k) Line Reflections x-axis: y-axis: y=x:
P(x, y) P’(x, -y) OR rx-axis(x, y) = (x, -y)
P(x, y) P’(-x, y) OR ry-axis(x, y) = (-x, y)
P(x, y) P’(y, x) OR ry = x(x, y) = (y, x)

4. Reflections Part Two
Day 3

5. Reflections of Shapes Over other Lines
y = -1
y=2 1

6. Reflections of Shapes Over other Lines
y=1
y=-2

7. Reflections of Shapes Over other Lines
x = -1
x = 2

8. You Try the next four!!
x = 3
y = 1

9. x = -3
y = -1

10. What if I asked you to draw the line of reflection??

11. Dilations
What happens when you go to the eye doctor and they dilate your pupils?
When you dilate a figure you are changing the size, therefore it is no longer Rigid Motion. When the shape is dilated it produces a shape that is the same shape, but a different size. What geometric term describes this?

12. If we dilate ΔABC, we can say that ΔABC ~ ΔA'B'C'
Similarity: 2 or more shapes that are the same shape but different sizes.
Symbol: ~
If we dilate ΔABC, we can say that ΔABC ~ ΔA'B'C' A’ A B' C' C B

13. When you dilate you need a scale factor to dilate by.
Dilate ΔABC by a scale factor of 2, if A(1, -2), B(-2, 3), C(3, 2). *Algebraically that means that (x, y) ⇒? *Graphically do you think it gets bigger or smaller?

14. How would you make a shape shrink?
Scale Factor > 1 = Enlarge Scale Factor < 1 but >0 = Shrink Scale Factor = 1 = ? Scale Factor = 0 = ? Scale Factor < 0 = ?

15. Given ΔGHJ with G(2, 3), H(-3, 4) and J(6, -2)
Given ΔGHJ with G(2, 3), H(-3, 4) and J(6, -2). What are the new coordinates if you dilate it by a scale factor of ¼?
If ΔABC was dilated by a scale factor of 2 and A'(2, 6), B'(-4, 2) and C'(-2, 8) what were the coordinates of ΔABC?

16. Picture Activity On a sheet of graph paper:
Draw your x- and y-axes.
Create a picture of something. Use at least 10 points in your picture.
Reflect your image over a line of your choosing (not the x-axis, y-axis, or y=x) and dilate it by a factor of your choosing.
Your original picture should now appear on your paper 3 times!
Show your pre-image and image points on the back. Be sure to write the rule too!! :)
Color your picture as you wish! 
When you are finished please turn it in and then you can work on your homework (6-3).