Quadrilaterals
A quadrilateral is a polygon with 4 sides.
Count the edges of the shapes in the picture. All the polygons in the picture are quadrilaterals.
Before we begin ;
When we think of a rectangle, a specific shape comes to mind, but there are other shapes that also meet the properties of a rectangle (like a square). The first shape that comes to our mind is our primary shape, but there can be other shapes that also fit the criteria.
Trapezoid - Trapezium
A trapezoid is a quadrilateral with at least two sides parallel to each other.
The word was used to describe a quadrilateral with no parallel sides in British English, but in American English, it refers to a quadrilateral with one pair of parallel sides. The difference in definitions between British and American English can sometimes lead to confusion.
Sqaure is a Trapezoid
(The other sides not indicated by arrows are also parallel to each other.)
Rectangle is a Trapezoid
(The other sides not indicated by arrows are also parallel to each other.)
A parallelogram is a trapezoid.
(The other sides not indicated by arrows are also parallel to each other.)
Rhombus is a Trapezoid
(The other sides not indicated by arrows are also parallel to each other.)
Trapezoid
The shape that comes to mind when we say trapezoid
Right Trapezoid
Trapezoid with one angle of 90 degrees
Isosceles Trapezoid
Trapezoid with two equal sides.
Parallelogram
Polygons with opposite sides parallel to each other are called parallelograms.
A square is a parallelogram
A Rectangle is a parallelogram
A Rhombus is a parallelogram
A parallelogram
The shape that comes to mind when we say parallelogram
Rhombus
A quadrilateral with all sides of equal length.
A Square is a Rhombus
All sides of a square are equal.
Rhombus
The shape that should come to mind when we say 'rhombus'. The primary shape.
All sides of a Rhombus are equal.
Rectangles
A quadrilateral with opposite sides parallel and interior angles of 90 degrees is called a rectangle.
Square is a Rectangle
All interior angles of a square are 90 degrees.
Rectangle
The shape that comes to mind when we say 'rectangle'.
Kite
Quadrilaterals formed by joining two isosceles triangles base to base (along their non-congruent sides)
A Square is a Kite
A Rhombus is a Kite
Why rectangle is not a kite ?
Quadrilaterals Family Tree
Each of the above shapes has its own unique properties, but they also inherit properties from their parent shapes. For instance, a square is a type of rectangle (because it has right angles), and it's also a type of rhombus (because it has sides of equal length). This makes a square a special case of both these shapes and, by extension, a special case of a parallelogram and a quadrilateral.
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