1. Section 17.1: Translations

2. Objective(s):
By following instructions, students will be able to:
Draw the image of a figure under a translation

3. Def: A vector is a quantity that has both direction and magnitude.
Def: Initial point of a vector is the starting point.
Def: Terminal point of a vector is the ending point.

4. Translation
It is convenient to describe translations using vectors. A translation is a transformation along a vector such that the segment joining a point and its image has the same length as the vector and is parallel to the vector.
For example, BB' is a line segment that is the same length as and is parallel to vector v .

5. explain 1A

6. explain 1B

7. Your-Turn #1

8. explain 2A
Preimage coordinates: (−2, 1) , (−3, -2) , and (−1, −2) . Vector: 〈4, 6〉

9. explain 2B
Preimage coordinates: A(3, 0) , B(2, -2) , and C(4, −2) . Vector: 〈-2, 3〉

10. Your-Turn #2
Draw the preimage and image of each triangle under a translation along 〈-4, 1〉.
Triangle with coordinates A(2,4), B(1,2), and C(4,2).

11. explain 3A

12. explain 3B

13. Revisit Objective(s):
Did we...
Draw the image of a figure under a translation?

14. HW:
Sec 17.1 pg 668 #s 1-10, 12-17