In this lesson, students show that dilations map angles to angles of equal measure. The Exploratory Challenge requires students to make conjectures about how dilations map polygonal figures, specifically, the effect on side lengths and angle measures.
The goal is for students to informally verify that dilations map angles to angles of equal measure. Further, students describe the effect dilations have on side lengths; for example, if side length 𝐴𝐶 = 3.6 and is dilated from a center with scale factor 𝑟 = 2, then the dilated side 𝐴 ′𝐶 ′ = 7.2.
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