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Understanding Similar and Congruent Figures in Geometry

Learn the key differences between similar and congruent figures, including the ratios of side lengths and corresponding parts. Explore examples of similar triangles and congruent figures to grasp the concepts easily.

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Understanding Similar and Congruent Figures in Geometry

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  1. Similar and Congruent Figures

  2. Similar and Congruent Figures • Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths • Congruent figures have the same shape and the same size • Corresponding parts are the sides or angles that have the same position.

  3. The symbol means that the shapes are similar • The symbol means that the shapes are congruent

  4. Similar Triangles

  5. Similar Triangles What is the ratio of sides? 10 6 5 3 4 8

  6. Congruent Figures F B 12 8 E A D C What is the length of EF What is the length of BC

  7. Similar Figures C A F FIGURE 1 G E Figure 2 B D H Side AB is similar to side ________ Side BD is similar to side ________

  8. Similar Figures A C 15 F 6 10 FIGURE 1 G E Figure 2 B 12 D H What is the ratio of the sides________ What is the length of side AB? What is the length of side EH?

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