Describe and perform dilations.
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Two diagrams below show a dilation of Rectangle $${ABCD}$$ by a scale factor of 2.
If the scale factor is the same, then why do the two diagrams show different dilated figures?
Diagram 1:
Diagram 2:
Rectangle $${ABCD}$$ is similar to rectangle $${{A'B'C'D'}}$$ because it can be dilated to map onto $${{A'B'C'D'}}$$.
Describe the transformation. Include the scale factor and center point of dilation.
Angle $${EFG}$$ is shown in the coordinate plane below.
Dilate the angle by a scale factor of 2 with the center of dilation at the origin.
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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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Consider triangle $${ABC}$$.
1. Draw a dilation of $${ABC}$$ with:
2. For each dilation, answer the following questions:
Effects of Dilations on Length, Area, and Angles, accessed on June 4, 2018, 1:48 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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