Students should understand that the lengths of corresponding sides are in proportion and that similar figures are produced from dilations. Students must understand that for similar shapes there is a ratio that is proportional between a shape and its dilation. Students should have a deep understanding that prime notation means to indicate the dilated figure from the original.
Triangle ABC was dilated to create triangle A’B’C’.
Write a proportion that shows the relationship between the two triangles.
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8.3 Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:
(A) generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation