Question

Select the correct answer.

Consider the given solids with the dimensions shown. Which solids are similar?

three triangular prisms. Figure 1 has a right triangle base that is 9 meters by 12 meters and a height of 16 meters, figure 2 has a right triangle base that is 12 meters by 16 meters and a height of 18 meters, and figure 3 has a right triangle base that is 36 meters by 48 meters and a height of 64 meters.
Figures not drawn to scale

A.
only figure 1 and figure 2
B.
only figure 2 and figure 3
C.
only figure 1 and figure 3
D.
all three figures
E.
none of the figures

Answer 1

Only Figure 1 and Figure 3 Are Similar.

Explanation:

Figure 1 and Figure 3 are proportional by 1:4 while the Figure 2 is not proportional to any of them.