Graph the image of ΔSTU after a dilation with a scale factor of 2, centered at the origin.
A) T(4, 6), S(-2, 4), U(-4, -2)
B) T(8, 12), S(-4, 8), U(-8, -4)
C) T(4, 3), S(-2, 4), U(-5, -2)
D) T(6, 8), S(-3, 6), U(-6, -3)
Graph the image of ΔSTU after a dilation with a scale factor of 2, centered at the origin.
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To dilate a triangle centered at the origin with a scale factor of 2, you multiply each coordinate of the vertices by the scale factor.
For ΔSTU with vertices:
– T(4, 6)
– S(-2, 4)
– U(-4, -2)
We apply the dilation:
– T: (4 * 2, 6 * 2) = (8, 12)
– S: (-2 * 2, 4 * 2) = (-4, 8)
– U: (-4 * 2, -2 * 2) = (-8, -4)
So the vertices after dilation become:
– T(8, 12)
– S(-4, 8)
– U(-8, -4)
This corresponds to option B) T(8, 12), S(-4, 8), U(-8, -4).
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