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''?