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

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

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

We know that a square is a four-sided figure that is only defined by its side length.

We will see that the statement is false.

From the first definition, we can conclude that if two of these figures have the same side length (remember that the side length is the only thing that defines a square) then both of these squares are exactly the same figure.

Then two squares with the same side length are not scaled copies of another, are exactly the same figure (where scaled would mean that one is larger than the other). Where we only could differentiate them if one is rotated and the other not.

If you want to learn more, you can read:

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my guess is

step-by-step explanation:

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