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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 By Derrick Moore And Dakota Boren
Objectives • Identify congruent or similar solids. • State the properties of similar solids.
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.
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
Example h=5 5.5 h=2 2.5 1 1 3 3 Are these two pyramids similar?
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
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
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
Assignment pg. 711 #11-30