1. 4.1 Translations
Warm Up Maintaining Mathematical Proficiency:  Find the value of ¡.
Hint: Auxilary Line

2. 4.1 Translations
Rigid Motions aka Transformations – A translation, reflection, rotation, dilation, or any combination of these that changes the position or size of a figure. 
Translation -  Moves every point of a figure the same distance in the same direction.
1) Complete the warmup exercises on graph number 1.

3. 4.1 Translations
Preimage A – The figure before the transformation. 
Image A' - The figure after the transformation. 2) A) B)

4. 4.1 Translations Learning Check
Preimage A – The figure before the transformation. 
Image A' - The figure after the transformation. 3) A) B)
B'(-9, 9)
D(12, -7)

5. 4.1 Translations
Vector – a quantity that has both a magnitude and a direction.  On the Cartestian Plane it is represented by an arrow drawn from one point to another. 
4) Name the vector and write its component form. 

6. 4.1 Translations
Vector – a quantity that has both a magnitude and a direction.  On the Cartestian Plane it is represented by an arrow drawn from one point to another.
5) In the diagram name the vector and write its component form. 

7. 4.1 Translations
6) Learning Check: In the diagram name the vector and write its component form. 

8. 4.1 Translations
7) Translations Using a Vector: 

9. 4.1 Translations
8) Learning Check: 

10. 4.1 Translations
9) Writing Rules for Translations: 

11. 4.1 Translations
10) Learning Check: 

12. 4.1 Translations
11) Composition of Transformations - The combination of 2 or more transformations. Describe the composition of transformations. 

13. 4.1 Translations
12) Mathematical Connections: A translation maps the blue figure to the red figure.  Find the Value of each variable.

14. 4.1 Translations
Learning Check: A translation maps the blue figure to the red figure.  Find the Value of each variable.