Warm- Up #2 #1

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

Translations preimage P

Translations image P P preimage

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)

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

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

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)

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

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

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

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)

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)

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).

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