2. Introduction Recognizing and using congruent and similar shapes can make calculations and design work easier. For instance, in the design at the corner, only two different shapes were actually drawn. The design was put together by copying and manipulating these shapes to produce versions of them of different sizes and in different positions.
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4. Similar and Congruent Figures Note: Two figures can be similar but not congruent, but they can’t be congruent but not similar. Think about why!
5. Examples These figures are similar and congruent. They’re the same shape and size. These figures are similar but not congruent. They’re the same shape, but not the same size.
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7. Ratios and Similar Figures Example A E C F D G H B These sides correspond: AB and EF BD and FH CD and GH AC and EG These angles correspond: A and E B and F D and H C and G
8. Ratios and Similar Figures Example These rectangles are similar, because the ratios of these corresponding sides are equal: 7 m 3 m 6 m 14 m
