Question

two geometric figures are considered similar if they have the same shape, regardless of size. which of the following is also a requirement for similarity?
a. they are both circles
b. corresponding sides are proportional
c. equal perimeters
d. equal areas

Explanation:

Similar geometric figures have the same shape. By definition, for similarity, corresponding sides must be proportional. Option a is too restrictive (not all similar figures are circles). Options c (equal perimeters) and d (equal areas) are not requirements as similar figures can have different sizes (so perimeters and areas would be different but in proportion). Only option b aligns with the similarity criteria.

Answer:

B. Corresponding sides are proportional