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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 41 Page 874

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.

Neither

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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 prisms.

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

7/7 ? =7/10

a/a=1

1 ≠ 7/10 *

Since the ratios of corresponding measures are not equal, the rectangular prisms are neither congruent nor similar.

Subchapter links

1 Representations of Three-Dimensional Figures p.872

2 Surface Areas of Prisms and Cylinders p.872

3 Surface Areas of Pyramids and Cones p.872

4 Volumes of Prisms and Cylinders p.873

5 Volumes of Pyramids and Cones p.873

6 Surface Areas and Volumes of Spheres p.873

7 Spherical Geometry p.874

8 Congruent and Similar Solids p.874