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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

8. Congruent and Similar Solids

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Exercise 7 Page 867

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions is the scale factor.

Similar, Congruent, or Neither? Neither.

Practice makes perfect

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions is the scale factor. With this in mind, we will consider the given cones to determine whether they are similar or not.

Let's see whether the corresponding linear dimensions are proportional.

10/10 ? =4.5/3

Calculate quotient

1 ≠ 1.5 *

Since 1≠ 1.5, the corresponding linear dimensions are not proportional and therefore the cones are neither similar nor congruent.

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Exercises p.867-870