# All rectangles are squares, but not vice versa.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

All rectangles are squares, but not vice versa is a false statement. The reason for this is that while all rectangles are not square, all squares are rectangles. A quadrilateral with four right angles is called a rectangle. A quadrilateral with all four right angles and all four sides of equal length is called a square. More details on whether all rectangles are squares have been illustrated below.

Table of content

## Are All Rectangles Squares

Since all the sides of a square are of the same length, it is a particular kind of rectangle. Hence, every square is a rectangle because it is a quadrilateral with right angles at each of its four corners. But all rectangles are squares is a false statement because for a shape to be a square, all of its sides must be of the same length.

All sides of squares are equal, which implies that the sides that are opposite to them are also equal. Squares are special cases of rectangles. All rectangles are squares is not a true statement as none of their four sides are equal.

• Four opposite, parallel, congruent sides make up a rectangle, which is a parallelogram.
• Right angles are formed by the rectangle’s corners.
• A rectangle and a square only differ in that a rectangle’s sides are not all equal.
• Four equal sides make up a rhombus.

Summary:

## All rectangles are squares, but not vice versa.

The statement ‘All rectangles are squares, but not vice versa’ is false as all squares are rectangles but not all rectangles are square. A square is a quadrilateral that has all four sides equal and has right angles at all four corners, whereas a rectangle does not have all four sides equal. However, the four corners of a rectangle also form right angles.

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