McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
8. Congruent and Similar Solids
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Exercise 6 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.

Congruent, Similar, or Neither? Similar.
Scale Factor: 9:8

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 prisms to determine whether they are similar or not.
Let's see whether the corresponding linear dimensions are proportional.
9/8 ? =18/16 = 18/16
9/8 = 9/8 = 9/8 âś“
The corresponding linear dimensions are proportional and therefore the prisms are similar, with a scale factor of 9:8. Since the side lengths are not the same, the prisms are not congruent.