Question icon
8 grade maths

Explain how a square is a rectangle.

Profile image of Aniket Singh
11 Months agoGrade
Answers icon

1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer11 Months ago

A square is a special type of rectangle. To understand this, let's look at the definitions of both shapes.

Defining a Rectangle

A rectangle is a four-sided polygon (quadrilateral) where each angle is a right angle (90 degrees). Additionally, opposite sides of a rectangle are equal in length.

Characteristics of a Square

A square also has four sides and four right angles. However, what makes a square unique is that all four sides are of equal length.

Relationship Between Squares and Rectangles

  • Since a square meets all the criteria of a rectangle (four right angles and opposite sides that are equal), it is classified as a rectangle.
  • Every square is a rectangle, but not every rectangle is a square. This is because rectangles can have sides of different lengths.

Visualizing the Concept

Imagine a rectangle where the length and width are the same. In this case, that rectangle is actually a square. Thus, you can think of a square as a rectangle with a special property: equal side lengths.

In summary, a square is a rectangle because it fulfills all the requirements of a rectangle, while also having the additional feature of equal sides.