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13-4 Congruent and Similar solids

13-4 Congruent and Similar solids. By Derrick Moore And Dakota Boren. Objectives. Identify congruent or similar solids. State the properties of similar solids. Key terms.

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13-4 Congruent and Similar solids

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  1. 13-4 Congruent and Similar solids By Derrick Moore And Dakota Boren

  2. Objectives • Identify congruent or similar solids. • State the properties of similar solids.

  3. Key terms • Similar solids- A solid that has exactly the same shape but not necessarily the same size. You can determine if 2 solids are similar by comparing the ratios of their corresponding linear measurements.

  4. Scale Factor

  5. How to find the ratios of corresponding parts of pyramid Base edge of larger pyramid ________________________ Base edge of smaller pyramid Height of larger pyramid _____________________ Height of smaller pyramid Lateral edge of larger pyramid ___________________________ Lateral edge of smaller pyramid

  6. Example h=5 5.5 h=2 2.5 1 1 3 3 Are these two pyramids similar?

  7. Example Height of larger pyramid _____________________ Height of smaller pyramid 5/2 Lateral edge of larger pyramid ___________________________ Lateral edge of smaller pyramid 5.5/2.5 Answer: no, their ratios are different Base edge of larger pyramid ________________________ Base edge of smaller pyramid 3/1

  8. How to find the ratios of corresponding parts of cones and Cylinders • Radius of larger cone/cylinder ____________________ Radius of smaller cone/cylinder Height of larger cone/cylinder ___________________ Height of smaller cone/cylinder

  9. Example h=2,234 h=1,117 Are these cones similar? R=3 R=6 6/3 =2/1 2/1 = 2/1 the cones are similar 2234/1117 =2/1

  10. Theorem 13.4

  11. Assignment pg. 711 #11-30

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