Question

the corresponding sides of similar figures are ------. the same always different proportional

Explanation:

To determine the correct answer, we recall the definition of similar figures. Similar figures have corresponding angles equal and corresponding sides that are proportional (i.e., their ratios are equal). The option "the same" would imply congruent figures (where sides are equal), and "always different" is incorrect as similar figures can have sides of the same length (when they are congruent, a special case of similar figures with a scale factor of 1). So the correct description for corresponding sides of similar figures is "proportional".

Answer:

proportional