What theorem on rectangle justifies that a square is a rectangle?

THEOREM: If a parallelogram is a rectangle, it has congruent diagonals. THEOREM Converse: If a parallelogram has congruent diagonals, it is a rectangle.

What is the theorem of rectangle?

Theorems. The isoperimetric theorem for rectangles states that among all rectangles of a given perimeter, the square has the largest area. The midpoints of the sides of any quadrilateral with perpendicular diagonals form a rectangle. A parallelogram with equal diagonals is a rectangle.

Can you consider square a rectangle if yes what theorem on rectangle justifies that a square is a rectangle?

It is also a rhombus. Therefore, all of its sides are congruent. A rectangle is a square when both pairs of opposite sides are the same length. This means that a square is a specialized case of the rectangle and is indeed a rectangle.

How do you explain that a square is a rectangle?

A square is a rectangle because its opposite sides are equal and parallel and each angle are equal to 90∘ Was this answer helpful?

Can a rectangle be a square?

A square is a special kind of closed figure with four straight sides and four right angles that also has sides that all have equal length. Therefore, we can conclude that: A Square is a special kind of rectangle. Every Square is a rectangle, but not every rectangle is a square.

What is the theorem for a square?

Square and its Theorems

What is the difference between a square and a rectangle?

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

What is the relationship between square and rectangle?

Square vs Rectangle



A square has four equal sides. In a rectangle, the opposite sides are equal. The diagonals of a square bisect each other at 90°. The diagonals of a rectangle bisect each other at different angles.

Why a rectangle is not a square?

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

Is a square a rectangle always sometimes or never?

A square is always the rectangle, but a rectangle is a square only when it has all sides equal…