Question

Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly 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.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.

If we take the ratio of three side as

16:9:12

(4)²:(3)²:(2√3)²

Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.

If we take the ratio of three side as

64:36:48

(8)²:(6)²:(4√3)²

Comparing the ratios of both figure, the figure 3  has twice the measurement of figure 1 sides.

Hence, only figure 1 and 3 are similar.

Learn more about this concept here:

https://brainly.com/question/12670209

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