Suppose you find the ratio of the lengths of adjacent sides in a parallelogram. This ratio is equivalent to the ratio of the adjacent sides in another parallelogram. Are the figures similar? Explain.

Answer 1

Not necessarily.
The angles could be different, thus not similar

Imagine the second figure having hinges at the vertices and you "squish" the figure.

Answer 2

Isn't this a question in a 7th grade savaas book?