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Date: Chapter 9.1 - 9.4: Reflections, Translations, and Rotations Objective Do Now: notebook quiz Reflection – Reflections: A. Graph the line segment AB, A (-6, 0) , B (-2, -6). Graph the image of AB’ under a reflection in the x-axis. B. Graph the line segment XY, X (2, 2) , Y (4, 5). Graph the image of XY’ under a reflection in the yaxis. C. Graph quadrilateral LMNO with vertices L(3, 1), M(5, 2), N(6, –1), and O(4, –3) and its reflected image in the x-axis. Select the correct coordinates for the new quadrilateral L'M'N'O'. Translations: Translations: A. Graph ΔTUV with vertices T(–1, –4), U(6, 2), and V(5, –5) along the vector –3, 2. B. 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'. C. ANIMATION The graph shows repeated translations that result in the animation of the raindrop. Describe the translation of the raindrop from position 2 to position 3 in function notation and in words. D. The graph shows repeated translations that result in the animation of the soccer ball. Choose the correct translation of the soccer ball from position 2 to position 3 in function notation. Rotations: A. Triangle DEF has vertices D(–2, –1), E(–1, 1), and F(1, –1). Graph ΔDEF and its image after a rotation of 90° counterclockwise about the origin. B. Line segment XY has vertices X(0, 4) and Y(5, 1). Graph XY and its image after a rotation of 270° counterclockwise about the origin. Compositions of Transformations – A. Quadrilateral BGTS has vertices B(–3, 4), G(–1, 3), T(–1 , 1), and S(–4, 2). Graph BGTS and its image after a translation along 5, 0 and a reflection in the x-axis. B. ΔTUV has vertices T(2, –1), U(5, –2), and V(3, –4). Graph ΔTUV and its image after a translation along –1 , 5 and a rotation 180° about the origin. C. ΔJKL has vertices J(2, 3), K(5, 2), and L(3, 0). Graph ΔTUV and its image after a translation along 3, 1 and a rotation 180° about the origin. What are the new coordinates of L''?