 A math lesson on quadrilaterals in 6th grade, we will study the definition then the square, the rectangle, the rhombus, the parallelogram. The student should know the definition of a quadrilateral and be able to construct it using geometry equipment (ruler, compass, square and protractor). He will have to master the different particular quadrilaterals like the square, the rectangle, the rhombus or the kite. Master the definitions of diagonals, consecutive sides of a quadrilateral, and opposite sides in the sixth grade.

Definition:

A quadrilateral is a polygon with four sides.

Vocabulary:

• two sides that have no vertex in common are said to be opposite.
• two sides that have a vertex in common are said to be consecutive.

Rule:

To name a quadrilateral, we note the vertices in the order in which we meet them when turning in a certain direction. Thus, the quadrilateral below can be written ABCD, ADCB, or BCDA. Definition:

A rectangle is a quadrilateral that has four right angles.

Example:

ABCD is a rectangle.

Its opposite sides are parallel and of the same length. Definition:

A rhombus is a quadrilateral that has four sides of equal length.

Example:

ABCD is a rhombus. Definition:

A square is a quadrilateral that has four right angles and four sides of equal length.

Example:

The quadrilateral ABCD is a square. Its four angles are right.

Its four sides have the same length: AB=BC=CD=DA. Definition:

A parallelogram is a quadrilateral that has its opposite sides parallel.

Example:

The quadrilateral ABCD is a parallelogram.

Its opposite sides are parallel: (AB)//(DC) and (AD)//(BC). Consequences:

The square, rectangle and rhombus are particular parallelograms.

Un QCM sur les quadrilatères en 6ème.

Things to remember: • Know the definition of a quadrilateral;
• Know how to draw with geometry equipment (ruler, compass, square and protractor);
• Know the definitions and properties of the square, the rectangle, the trapezoid.

This course is in accordance with the officialnational education programs.

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