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Math Question

18. \( \triangle E F G \) has vertices \( E(-4,0), F(-4,4) \), and \( G(0,0) \). \( \triangle H I J \) has vertices \( H(3,2), I(3,-3) \), and \( J(-2,2) \). Are \( \triangle E F G \) and \( \triangle H I J \) similar? Select the transformations that map \( E F G \) to \( H I J \), and can be used to determine whether or not the triangles are similar.
A. Rotate \( 90^{\circ} \) counterclockwise around \( (3,2) \).
B. Rotate \( 180^{\circ} \) clockwise around \( (3,2) \).
C. \( (x, y) \rightarrow(x-7, y-2) \quad E(-4,0) \)
D. \( (x, y) \rightarrow(x-2, y-7) \quad \) F \( (-4,4) \)
E. \( (x, y) \rightarrow\left(\frac{4}{5} x, \frac{4}{5} y\right) \)
\( G(0,0) \)
F. \( (x, y) \rightarrow(4 x, 4 y) \quad H(3,2) \)
G. \( (x, y) \rightarrow(5 x, 5 y) \quad \mid(3,-3) \)
\( J(-2,2) \)

Solution

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