Question

scale factors similar figures are figures that have the same ______. number of sides shape and size size shape

Explanation:

Similar figures in geometry are defined as figures that have the same shape (corresponding angles equal) but not necessarily the same size (corresponding sides are proportional). Let's analyze the options:

• "number of sides": Having the same number of sides is not the defining characteristic of similar figures (e.g., a square and a rectangle can have 4 sides but not be similar).
• "shape and size": Similar figures do not have the same size (that would be congruent figures), so this is incorrect.
• "size": Similar figures can have different sizes, so this is incorrect.
• "shape": This matches the definition of similar figures, as they must have the same shape (corresponding angles equal) even if their sizes differ.

Answer:

D. shape