Exercise 16 Page 875

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions of two similar solids is the scale factor. If the scale factor is 1:1 they are also congruent. Consider the given cubes.

Notice that all sides of a cube are congruent. Therefore, solids are similar. Let's find a scale factor to see if they are congruent. To do so, we need to calculate the ratio of bases.

5/20

ReduceFrac

a/b=.a /5./.b /5.

1/4

FracToScale

\dfrac a b = a:b

1:4

The scale factor is 1:4. Since the scale factor is not 1:1, the solids are not congruent.