Question

Are two squares with the same side lengths scaled copies of one another?

Answer 1

Yes. Any square is a scaled copy of any other. The scale factor for two same-size squares is 1.

Answer 2

1. A figure that shows a real figure with accurate sizes reduced or enlarged by a certain amount (the scale factor) is called scale copy.

2. Two figures are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal (or scaled copies with scale factor 1).

3. Square is a quadrilateral that has equal sides and every angle is a right angle (90°).

If you have two squares with the same side lengths, then they have

• congruent corresponding sides (they are all equal);
• congruent corresponding angles (they are all right).

This means that  two squares with the same side lengths are congruent or are scaled copies of each other (with scale factor 1).