Geometry: Getting Started - Quadrilaterals
This is a free lesson from our course in Geometry
This lesson explains the basics and concepts about the quadrilaterals. You’ll learn it starting from your earlier learning about polygons. All this you’ll learn in the contents presented by the instructor in own handwriting, using video and with the help of several examples with solution.
Quadrilateral: in geometry, a plane closed figure formed by four line segments is called a quadrilateral. It is a polygon with four sides, four vertices and with four angles. The interior angles of a quadrilateral add up to 360.
Quadrilaterals are simple i.e. not self-intersecting or complex i.e. self-intersecting. Simple quadrilaterals may be either convex or concave. (More text below video...)
<h2> Geometry - Getting Started - Quadrilaterals </h2> <p> angle, point, plane, polygon, video, square, figure, side, line, segment, properties, types of quadrilaterals, quadrilateral, rectangle, trapezoid, diagonal, rhombus, vertex, endpoint, intersect, example, diagonal, collinear, geometry tutorials, interior angles, sloution, quizzes</p> <p> The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus.</p>
Other useful lessons:
Properties of Quadrilaterals
Special Quadrilaterals
(Continued from above) There are three topological types of quadrilaterals: convex quadrilaterals, concave quadrilaterals, and crossed quadrilaterals or butterflies type (shown in the figure below):
Types of Quadrilaterals
Now you’ll explore more on conceptual understanding about important quadrilaterals (Figure below).
Important Quadrilaterals
Parallelogram- is a quadrilateral with two pairs of parallel sides. Equivalent conditions are that opposite sides are of equal length; the opposite angles are equal and the diagonals bisect each other. Notice: parallelograms also include the rectangle, square, rhombus and rhomboid.
Square: is a regular quadrilateral having all four sides of equal length, and all four angles are right angles. An equivalent condition is that opposite sides are parallel; diagonals are of equal length and bisect each other at right angles. A quadrilateral is a square ‘if and only’ if it is a rhombus and a rectangle both.
Rectangle- is a quadrilateral in which all the four angles are right angles. An equivalent condition is that the diagonals bisect each other and are equal in length.
Trapezoid: is a quadrilateral that has exactly two sides parallel, but it's a type of quadrilateral that is not a parallelogram. One of the parallel sides is the base and the non-parallel sides are legs.
Rhombus: is a quadrilateral in which all the four sides are of equal length. Equivalent conditions are that opposite sides are parallel and opposite angles are equal. The diagonals perpendicularly bisect each other.
Kite: is a quadrilateral in which two adjacent sides are of equal length and the other two sides are also equal. Thus the angles between the two pairs of equal sides are equal, and the diagonals are perpendicular.
Furthermore, you’ll learn the relationship with the help of the ‘Venn Diagram’ i.e. the position and overlap of the circles indicating the relationships between the quadrilaterals and that helps you better understand to put together various types of quadrilaterals:
Relationship in Quadrilaterals
Notice in the figure above, how different quadrilaterals relate to each other i.e. the relationship amongst important quadrilateral group types i.e. trapezoids, parallelograms and general quadrilaterals.
Remember about quadrilaterals:
Parallelogram: it is a quadrilateral in which opposite sides are parallel.
Rectangle: a parallelogram in which opposite sides are equal and each of whose angle is 90
Square: it is a rectangle having all sides equal.
Rhombus: is a parallelogram having all sides equal.
Trapezoid: it is a quadrilateral in which two opposite sides are parallel and other two opposite sides are non parallel.
Kite: it is a quadrilateral in which two pairs of adjacent sides are equal.
The video above will explain more in detail about Quadrilateral types and their relationship, with the help of several examples.
Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.
- All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic.
- We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process!
- Winpossible courses have been used by students for help with homework and by homeschoolers.
- Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version