1. Bell Ringer
The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up What is A’? What is B’? What is C’? What is D’?

2. If you Haven’t Turned in Your Butterfly Reflection yet, Then You Need to Turn that in Now. Also, If you have any make-up work, you need to turn that in now as well

3. Quiz on Friday The quiz on Friday will cover
Section 1.4 “Ordered Pairs and Relations”
Section 2.6 “Graphing in Four Quadrants”
Section 2.7 “Translations and Reflections”
Section 6.8 “Dilations”

4. Section 6.8 Dilations
R drive > Key > Week 14 > Wednesday > 6.8 PowerPoint File > Save As > P drive > Math > Week 14 > 6.8 PowerPoint

5. Vocabulary
Dilation – A transformation that enlarges or reduces a figure by a scale factor

6. Notes
When the center of a dilation is the origin, you can find the coordinates of the image by multiplying each coordinate of the figure by the scale factor.
Use the notation (x, y) ⇨(kx, ky) to describe the dilation.

7. Example 1 Dilation in a Coordinate Plane

8. Example 2 Dilation in a Coordinate Plane
A figure has vertices D(-4, 4), E(4, 8), F(8, 8), and G(4, 0). Graph the figure and the image of the polygon after a dilation with a scale factor of ¼.

9. Example 3 Dilation in a Coordinate Plane
A figure has vertices R(-3, 6), S(3, 12), and T(3, 3). Graph the figure and the image of the figure after a dilation with a scale factor of 1/3.

10. Example 4 Dilations in a Coordinate Plane
A triangle has vertices A(1, -2), B(0, 2), and C(-2, -1). Find the coordinates of the triangle after a dilation with a scale factor of 2.

11. Example 5 Dilations in a Coordinate Plane
A figure has vertices X(-3, 6), Y(3, 0), and Z(3, 3). Find the coordinates of the figure after a dilation with a scale factor of 3.

12. Example 6 Dilations in a Coordinate Plane
A triangle has vertices H(-1, -2), I(1, 4), and J(2, 1). Find the coordinates of the triangle after a dilation with a scale factor of 4.

13. Example 7 Find the Scale Factor

14. Example 8 Find the Scale Factor

15. In Summary

16. Homework Section 6.8 #1-6

17. Homework Section 6.8 #1-6

18. Homework Section 6.8 #1-6