By Derrick Moore And Dakota Boren
Identify congruent or similar solids. State the properties of similar solids.
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.
Scale Factor
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
h=5 h= Are these two pyramids similar?
Base edge of larger pyramid ________________________ Base edge of smaller pyramid 3/1 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
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 R=3R=6 h=2,234 h=1,117 Are these cones similar? 6/3 2234/1117 =2/1 2/1 = 2/1 the cones are similar
pg. 711 #11-30