Description
Topic B establishes a firm understanding of how dilations behave. Students prove that a dilation maps a line to itself or to a parallel line and, furthermore, dilations map segments to segments, lines to lines, rays to rays, circles to circles, and an angle to an angle of equal measure. The lessons on proving these properties, Lessons 7–9, require students to build arguments based on the structure of the figure in question and a handful of related facts that can be applied to the situation. Students apply their understanding of dilations to divide a line segment into equal pieces and explore and compare dilations from different centers.
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Credits
From EngageNY.org of the New York State Education Department. Geometry Module 2, Topic B, Overview.
Available from engageny.org/resource/geometry-module-2-topic-b-overview; accessed 2015-05-29.
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