A rectangle is a square but a square is not a rectangle: TRUE or FALSE?
The rectangle and square are two-dimensional quadrilaterals with lots of similarities.
Answer: A rectangle is a square but a square is not a rectangle is a false statement.
Let's explore the properties of a square and a rectangle.
Similar to a rectangle, a square has:
- interior angles which measure 90∘ each.
- opposite sides that are parallel and equal.
- two diagonals that bisect each other and are equal.
A square is called a special kind of rectangle because it has some additional properties which do not apply to rectangles. They are:
- All four sides of a square are equal.
- Diagonals of a square bisect each at right angles.
Thus, all squares are rectangles, but not all rectangles are squares.