1. Warm- Up #2 #1

2. 9.2 Translations Objectives:
Identify translations and translation vectors
Perform translations in the coordinate plane
Switch between coordinate notation and component Form

3. Translations
preimage P

4. Translations
image P P
preimage

5. Translations in a Coordinate Plane
COORDINATE NOTATION: (x, y)  (x – 1, y + 4)
tells you how many units to move the
x-coordinate (left or right) and
y- coordinate (up or down)

6. ΔABC at (2, 5), (1, 1) and (5, 2) with translation rule
(x, y) → (x + 2, y – 4) A C B A’
Name the vertices of the new image. C’ B’
9.2

7. Find the coordinates of all the vertices.B’ A D C B
Complete translation rule: (x, y) →
(x + 4, y + 5)
9.2

8. A vector can be used to translate a figure in the coordinate plane.
The vector is written in component form.
(x, y) → (x + 3, y + 2)
(x, y) → (x + 5, y – 6)
(x, y) → ( x – 7, y)

9. Find the component form of these vectors. AB A’ C’ B’
9.2

10. Find the component form of these vectors.A’ D’ C’ B’ A D C B
9.2

11. You are hiking. On each leg you hike the vectors below
You are hiking. On each leg you hike the vectors below. If you want your friends to follow, list the vectors they must travel?
7.4

12. Graph ΔABC with the vertices A(–3, –2), B(4, 4), C(3, –3) along the vector –1, 3. Choose the correct coordinates for ΔA'B'C'.
A. A'(–2, –5), B'(5, 1), C'(4, –6)
B. A'(–4, –2), B'(3, 4), C'(2, –3)
C. A'(3, 1), B'(–4, 7), C'(1, 0)
D. A'(–4, 1), B'(3, 7), C'(2, 0)

13. Find the coordinates of the figure under the given translation: RS with endpoints R(1, –3) and S(–3, 2) along the translation vector 2, –1.
A. R'(–2, –2), S'(–1, 1)
B. R'(0, –3), S'(–5, 3)
C. R'(3, –4), S'(–1, 1)
D. R'(3, –4), S'(–5, 3)

14. 9-2 Exit Card
Graph ΔGHJK with the vertices G(–4, –2), H(–4, 3), J(1, 3), K(1, –2) along the vector 2, –2. What are the new coordinates for G’ and H’?
Determine the translation vector that moves AB with endpoints A(2, 4) and B(–1, –3) to A'B' with endpoints A'(5, 2) and B'(2, –5).

15. Homework
page 635: #15, 17, 19, 23, 24, 35, 36