Types of Quadrilaterals

A quadrilateral is a polygon with the qualities that contains 4 angles surrounded by 4 vertices and 4 sides. A quadrilateral’s interior angles add up to 360degrees. The sum of interior angles can alternatively be calculated using the polygon formula, which is (n-2)×180°, where n is the number of sides of the polygon. In general, a quadrilateral has sides of varying lengths and angles of varying degrees. Squares, rectangles, and other quadrilaterals, on the other hand, are unique in that some of their sides and angles are equal. This is why the area of a quadrilateral varies depending on the type of quadrilateral.

Quadrilaterals

Quadrilateral refers to a four-sided polygon with a 360degree total interior angle. Squares, rectangles, parallelograms, rhombuses, and trapezoids are among the many types of quadrilaterals. Five different formulas are used to determine the area of a quadrilateral. The rhombus formula, for example, can be used to calculate the area of a kite and vice versa. Before studying all of a quadrilateral’s formulas, it’s vital to grasp the many sorts of quadrilaterals and their characteristics.

Types of Quadrilaterals

Rectangle

A quadrilateral with parallel and equal opposite sides is known as a rectangle.

The Rectangle’s having following Properties:

1. There are no incorrect angles.

2. The diagonals are the same length and cross (divide each other congruently).

3. Opposing angles are generated when two diagonals intersect.

Important formulas for Rectangles

 Area=l×b

 perimeter=2(l+b)

Squares

A square is a quadrilateral, or a special sort of parallelogram, in which all of the sides are equal.

Squares’ Characteristics

1. The sides and angles are all the same.

2. The diagonals are perpendicular.

3. The opposite sides are known as parallel sides.

4. The diagonals are normal and cross each other.

5. Congruent angles are those that are perpendicular to each other.

Rhombus

A rhombus is a four-sided quadrilateral with equal length sides. It is also referred as an equilateral quadrilateral because of its feature of length equality.

Rhombus characteristics

1. The length of each side is equal.

2. Congruent angles are those that are perpendicular to one another.

3. The diagonals cross at a perpendicular position.

Trapezium

A trapezium is a convex quadrilateral with at least two parallel sides.

Trapezium Dimensions

1. The bases of the trapezium are parallel to one another.

2. The diagonals will be congruent if the non-parallel sides are also congruent.

3. No two sides, angles, or diagonals are the same.

Parallelogram

A quadrilateral with parallel opposed sides is called a parallelogram (and therefore opposite angles equal).

characteristics of a parallelogram

1. Parallel sides refer to the coin’s opposite sides.

2. On something, both parties agree.

3. Angles that are perpendicular to one another are called congruent angles.

4. Additional angles are concurrent angles (interior angles on the same side).

5. A parallelogram is divided into two congruent triangles by each of its diagonals.

6. A parallelogram’s diagonals are divided in half.

Examples of Quadrilaterals

There are many quadrilateral examples in everyday life, including cards, chess boards, and traffic signs.

Quadrilateral Formulas

 Area of a square=l×l

 Area of a rectangle=l×b

 Area of a parallelogram=b×h

 Area of a rhombus=12 ×a+b×h

Here l is the length b is the base and h is the height

Important Facts of Quadrilateral

A quadrilateral is a four-sided polygon with four corners. The word “quadrilateral” comes from the words “quad,” which means “four,” and “lateral,” which means “of sides.” Quadrilateral internal angles add up to 360 degrees. A rectangle is any quadrilateral with four right angles. Parallelograms are quadrilaterals with two sets of parallel sides. A rhombus is a quadrilateral with four equal-length sides. A rhombus is a shape that looks like a diamond. A trapezoid in the United States and a trapezium in other areas of the world is a convex (outward) quadrilateral with one set of parallel sides. It stems from a Greek phrase that means ‘a small table’ in both cases.

Conclusion

A quadrilateral is a planar shape with four sides or edges and four corners or vertices, as defined in geometry. The floor, walls, ceiling, classroom windows, kite, chessboard, and other things all have quadrilateral shapes. For a complete comprehension of geometry, it is necessary to comprehend the idea of quadrilaterals. Many objects in our daily lives have quadrilateral shapes, such as a chessboard, a playing card, a kite, a road sign, and so on.