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10. two geometric figures are considered similar if they have the same …

Question

  1. 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. corresponding sides are proportional
b. equal perimeters
c. they are both circles
d. equal areas

Explanation:

Brief Explanations

Similar geometric figures have the same shape. By definition, their corresponding sides are proportional. Equal perimeters (b) would imply similar size, which contradicts the "regardless of size" part. They don't have to be both circles (c) as there are many similar non - circular figures (e.g., similar triangles). Equal areas (d) also imply similar size.

Answer:

A. Corresponding sides are proportional