Define a dilation as a non-rigid transformation, and understand the impact of scale factor.
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Several figures are shown below.
Triangle $${ABC}$$ is dilated to create similar triangle $${DEF}$$.
Sketch an image of each figure after the dilations described below. The figures do not need to be drawn exactly to size but should include the lengths of the sides.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Trapezoid $${ABCD}$$, shown below, is dilated by a scale factor of $${\frac{1}{4}}$$. Angle $$D$$ is a right angle.
1. Which statements are true? Select all that apply.
a. $${\overline{C'D'}}$$ will be $${48}$$ units long.
b. $${\overline{B'C'}}$$ will be $${2\frac{1}{2}}$$ units long.
c. $${{\overline{A'D'}}}$$ will be $${15}$$ units long.
d. The measure of $${{\angle B}'}$$ will be $${\frac{1}{4}}$$ the measurement of $${\angle B}$$.
e. $${\angle D'}$$ will be a right angle.
f. $${\overline {B'C'}}$$ will be parallel to $${{\overline{A'D'}}}$$.
g. Figure $${A'B'C'D'}$$ will be a trapezoid.
2. Explain your response to answer choices (b) and (d). Why did you decide that those answer choices were true or false?
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