NY-8.G.4

Know that a two-dimensional figure is similar to another if the corresponding angles are congruent and the corresponding sides are in proportion. Equivalently, two two-dimensional figures are similar if one is the image of the other after a sequence of rotations, reflections, translations, and dilations. Given two similar two-dimensional figures, describe a sequence that maps the similarity between them on the coordinate plane.

Example Problems
Polygon A has an area of square units. Beth drew a scaled version of Polygon A and labeled it Polygon B. Polygon B has an area of square units.
What
scale factor did Beth use to go from Polygon A to Polygon B?
Polygon N has an area of . Owen drew a scaled version of Polygon N and labeled it Polygon R. Polygon R has an area of .

What
scale factor did Owen use to go from Polygon N to Polygon R?
Polygon K has an area of 18 square units. Kyle drew a scaled version of Polygon K and labeled it Polygon J. Polygon J has an area of 8 square units.
What
scale factor did Kyle use to go from Polygon K to Polygon J?
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