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Homework 7: Sequences of Trans
This is a 2-page document! **
Directions: Graph and label each figure and its image under the sequence of transforn the coordinates of the image.
1. Rectangle \( D E F G \) with vertices \( D(-2,7), E(2,3), F(0,1) \), and \( G(-4,5) \) :
a) translation along the rule \( (x, y) \rightarrow(x+6, y-8) \)
b) reflection in the \( y \)-axis
\[
\begin{array}{l}
D^{\prime}(-4,-1) \\
E^{\prime}(-8,-5) \\
F^{\prime}(-6,-7) \\
G^{\prime}(\Omega,-3)
\end{array}
\]
2. Triangle \( L M N \) with vertices \( L(6,6), M(8,8) \), and \( N(8,3) \) :
a) reflection in the line \( x=5 \)
b) \( 270^{\circ} \) counterclockwise rotation about the origin
\[
\begin{array}{l}
L^{\prime}(\square, \square) \\
M^{\prime}(\square, \square) \\
N^{\prime}(\square, \square)
\end{array}
\]
3. Quadrilateral \( A B C D \) with vertices \( A(0,6), B(-3,-6), C(-9,-6) \), and \( D(-12 \)
a) dilation with scale factor of \( 1 / 3 \) centered at the origin
b) translation along the vector \( \langle-5,-1\rangle \)
\( A^{\prime}( \) \( \qquad \) \( \qquad \) \( \qquad \)
