What describes figures that have the same shape but different sizes?

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The concept of figures that have the same shape but different sizes is best described as "similar." Similar figures maintain the same proportions and angles, meaning they have identical shapes. However, their side lengths may differ, indicating that one figure can be an enlarged or reduced version of the other.

For example, if you have a small triangle and a large triangle where the angles are the same, but the lengths of the sides vary, those triangles are similar. This relationship remains true regardless of how large or small the figures may be, as long as the corresponding angles are equal and the sides are in proportion.

Other terms do not accurately capture this relationship. Congruent figures are identical in shape and size, meaning they can be superimposed onto one another without any gaps or overlaps. Identical would imply they are the exact same figure, and equivalent often refers to quantities being equal in value rather than geometrical properties.

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