Give reasons for the following :
A square can be thought of as a special rectangle.

Answer

To explain why a square can be thought of as a special rectangle, we can break it down into the following steps:

### Step 1: Definition of a Rectangle
A rectangle is defined as a quadrilateral (a four-sided figure) with opposite sides that are equal in length and all interior angles measuring 90 degrees.

### Step 2: Definition of a Square
A square is also a quadrilateral, but it has the additional properties that all four sides are equal in length and all interior angles measure 90 degrees.

### Step 3: Comparing Properties
- In a rectangle, the opposite sides are equal, which means if one side is of length 'a', the opposite side is also 'a', and if another side is of length 'b', the opposite side is also 'b'.
- In a square, since all sides are equal, we can say that all four sides are of length 'a'. This means that a square is a specific case of a rectangle where both pairs of opposite sides are equal and all sides are equal.

### Step 4: Conclusion
Since a square meets all the criteria of a rectangle (having four right angles and opposite sides that are equal), we can conclude that a square is indeed a special type of rectangle where all sides are equal.

### Final Statement
Therefore, we can say that a square can be thought of as a special rectangle because it satisfies all the properties of a rectangle, with the additional property of having all sides equal.

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