1. A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this rotation in order to bring the dial back to its original orientation?
Problem of the Day

2. Section 9-4 Compositions of Transformations

3. Then Now Objectives You drew reflections, translations, and rotations.
Draw glide reflections, other compositions of isometries in the coordinate plane, and compositions of reflections in parallel and intersecting lines.

4. Common Core State Standards
Content Standards
G.CO.2 – Represent transformations in the plane; describe transformations as functions. Compare transformations that preserve distance and angle to those that do not.
G.CO.5 – Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.
Mathematical Practices
1) Make sense of problems and persevere in solving them.
4) Model with mathematics.
Common Core State Standards

5. Composition of Transformations: the result when a transformation is applied to a figure and then another transformation is applied to its image.
Vocabulary

7. Triangle PQR has vertices P(1, 1), Q(2, 5), and R(4, 2)
Triangle PQR has vertices P(1, 1), Q(2, 5), and R(4, 2). Graph triangle PQR and its image after the indicated glide reflection: Translation along <-2, 0> Reflection in x-axis
Example 1

8. Triangle PQR has vertices P(1, 1), Q(2, 5), and R(4, 2)
Triangle PQR has vertices P(1, 1), Q(2, 5), and R(4, 2). Graph triangle PQR and its image after the indicated glide reflection: Translation along <-3, -3> Reflection in y = x
Example 1

10. Triangle ABC has vertices A(-6, -2), B(-5, -5), and C(-2, -1)
Triangle ABC has vertices A(-6, -2), B(-5, -5), and C(-2, -1). Graph triangle ABC and its image after the composition of transformations in the order listed: Translation along <3, -1> Reflection in y-axis
Example 2

11. Triangle ABC has vertices A(-6, -2), B(-5, -5), and C(-2, -1)
Triangle ABC has vertices A(-6, -2), B(-5, -5), and C(-2, -1). Graph triangle ABC and its image after the composition of transformations in the order listed: 180 degree rotation Translation along <-2, 4>
Example 2

13. Copy and reflect figure B in line n and then line q
Copy and reflect figure B in line n and then line q. Then describe a single transformation that maps B onto B”.
Example 3

14. Copy and reflect figure B in line n and then line q
Copy and reflect figure B in line n and then line q. Then describe a single transformation that maps B onto B”.
Example 3

16. p.655 #7 – 19 odd, 34, 35
Homework