# When is a rectangle a square

## Is square a rectangle? or rectangle is a square? Math For Kids - Lesson 42. Square and Rectangle - Plane Shapes - Geometry

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Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:. In this article, you will get an idea about the 5 types of quadrilaterals and get to know about the properties of quadrilaterals. The diagram given below shows a quadrilateral ABCD and the sum of its internal angles. We can classify quadrilaterals into 5 types on the basis of their shape.

Quadrilateral just means "four sides" quad means four, lateral means side. Some types are also included in the definition of other types! For example a square , rhombus and rectangle are also parallelograms. See below for more details. Also opposite sides are parallel and of equal length. Another interesting thing is that the diagonals dashed lines in second figure of a rhombus bisect each other at right angles.

In Euclidean plane geometry , a rectangle is a quadrilateral with four right angles. It can also be defined as a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non- square rectangle. The word rectangle comes from the Latin rectangulus , which is a combination of rectus as an adjective, right, proper and angulus angle. A crossed rectangle is a crossed self-intersecting quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals. Other geometries, such as spherical , elliptic , and hyperbolic , have so-called rectangles with opposite sides equal in length and equal angles that are not right angles.

## Is a rectangle a square? Is it always or sometimes or never?

Quadrilateral just means "four sides" quad means four, lateral means side., Rectangles Student: So, what's the difference between a rectangle and a square?

## Perfect Rectangle

A square is transformed into a rectangle by increasing its length and decreasing its other side by the same percentage amount. How does the area change? What is the resultant change in area? How might you quickly determine the change in area of a square given any percentage increase in length and a decrease by the same percentage in the adjacent side? What is the change in area going from a square to a rectangle if the length is increased by one percentage amount and the adjacent side decreased by a different percentage amount. Let the side of the square be L. So the percentage change is x — y — xy.

In addition, the square is a special case or type of both the rectangle and the rhombus. Here are the properties of the rhombus, rectangle, and square. Note that because these three quadrilaterals are all parallelograms, their properties include the parallelogram properties. All the properties of a parallelogram apply the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary. All the properties of a parallelogram apply the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other. All the properties of a rhombus apply the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles. All the properties of a rectangle apply the only one that matters here is diagonals are congruent.

A rectangle which cannot be built up of squares all of different sizes is called an imperfect rectangle. A rectangle which can be built up of squares all of different sizes is called perfect. The number of perfect rectangles of orders 8, 9, 10, OEIS A and the corresponding numbers of imperfect rectangles are 0, 1, 0, 0, 9, 34, , , OEIS A Anderson, S. Bouwkamp, C. A rectangle is a quadrilateral, all of whose angles are equal i. Square, apart from all equal angles, also has all sides equal. Hence, square is a special case of rectangle.

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## 1 thoughts on “When is a rectangle a square”

1. Mollie W. says:

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