Question

Do the two parallelograms in the figure appear to be similar? Why or why not?

Answer 1

Given the set of parallelograms below:

For two parallelograms to be similar, the ratio of their corresponding sides must be constant.

In the above set of parallelograms, we have

`\begin{gathered} \Rightarrow(6)/(10)=(3)/(5) \\ \Rightarrow(6)/(16)=(3)/(8) \\ \end{gathered}`

Since the ratio of their corresponding sides is not constant, we can conclude that the parallelograms are not similar.