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10.06 Similarity in 2D and 3D figures

Adaptive
Worksheet

Interactive practice questions

Find the area scale factor for each of the following linear scale factors:

a

Linear Scale Factor $=$=$10$10.

b

Linear Scale Factor $=$=$\frac{3}{10}$310.

c

Linear Scale Factor $=$=$\frac{1}{3}$13.

Easy
1min

Consider the two similar trapezoidal prisms.

Easy
< 1min

Two similar parallelograms have matching sides whose lengths are in the ratio $7$7:$2$2. Find the ratio of their areas.

Easy
< 1min

Two similar cones have matching heights and radii whose lengths are in the ratio $7$7:$2$2. Find the ratio of their surface areas.

Easy
1min
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Outcomes

G.DF.2

The student will determine the effect of changing one or more dimensions of a three-dimensional geometric figure and describe the relationship between the original and changed figure.

G.DF.2d

Compare ratios between side lengths, perimeters, areas, and volumes of similar figures.

G.DF.2e

Recognize when two- and three-dimensional figures are similar and solve problems, including those in context, involving attributes of similar geometric figures.

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