Greeting to all steemians. how are you guys i hope you all are doing well in your life so today i am doing a challenge of Geometry with Geogebra Quadrilaterals so lets begin.

QUADRILATERAL:

A quadrilateral is a closed shape and a type of polygon that has four sides four vertices and four angles.
The quadrilateral word is derived from Latin words ‘Quadra’ which means four and 'Latus' means sides.

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TYPES OF QUADRILATERAL:

1. Parallelogram
2. Trapezoid
3. Rectangle
4. Rhombus
5. square.

Parallelogram:.

A quadrilateral in which opposite side are parallel and equal but its diagonal are not same.

PROPERTIES OF PARALLELOGRAM:

• The opposite side of the parallelogram are of the same length
• The opposite sides are parallel to each other
• The diagonals of a parallelogram bisect each other
• The opposite angles are of equal measure
• The sum of two adjacent angles of a parallelogram is equal to 180 degrees.

TRAPEZOID:

A quadrilateral with two (2) and only 2 sides are parallel. It is also called a Trapezium.

Types of Trapezoids:

PROPERTIES OF TRAPEZOIDS:

There are many types of property of trapezoids but i write some of them.

• the base angles and the diagonals of an isoscele trapezoid are equal.
• if you draw a median on a trapezoid it will be parallel to the bases,
• If there is a trapezoid with sides A, b, c and d and diagonals p and Q, the following equation will be the true one p2+q2= c2+d2+2ab.
• the Intersection point of the diagonals is Collinear to the midpoints of the two(2) opposite sIdes .

RECTANGLE:

A parallelogram in which all angles are right angles and its diagonal lenght are same.its also a a type of quadrilateral that has its parallel sides equal to each other and all the four(4) vertices are equal to 90 degrees . and its also known by equiangular quadrilateral.

PROPERTIES OF RECTANGLE:

• Diagonal bisect each other.
• It has four sides and four vertices.
• It is a parallelogram with four right angles.
• The opposite sides are equal and parallel.
• Sum of all interior angles equal to 360 degrees.

SQUARE:

A rectangle with four equal sides and all the angles are 90 degree. the two sides at each corner oR vertex , meet at right angleS.

FOR EXAMPLE:

if one side of a rectangle is 20 cm then the side opposite to it also 20 cm.

POPERTIES OF RECTANGLE:

• iT has four sides and four vertices.
• Each vertex has angle equal to 90 degrees.
• Diagonal bisect each other.
• It is a parallelogram with four(4) right angles.

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