Which term describes objects with the same size and shape?

Which term describes objects with the same size and shape?

• A. Similar
• B. Congruent
• C. Equal
• D. Identical

Answer: (B)

Congruence is the idea that two figures have the same size and shape, so one can be moved (translated, rotated, or flipped) to sit exactly on top of the other. When figures are congruent, their corresponding sides are equal in length and their corresponding angles are equal. This is why it’s the best fit here: it captures both exact size and exact shape. By contrast, similar figures share the same shape but not necessarily the same size (they’re scaled copies). The terms equal or identical aren’t the standard way to describe a relationship between shapes in geometry.

Congruence is the idea that two figures have the same size and shape, so one can be moved (translated, rotated, or flipped) to sit exactly on top of the other. When figures are congruent, their corresponding sides are equal in length and their corresponding angles are equal. This is why it’s the best fit here: it captures both exact size and exact shape. By contrast, similar figures share the same shape but not necessarily the same size (they’re scaled copies). The terms equal or identical aren’t the standard way to describe a relationship between shapes in geometry.