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Quadrilaterals




 
Videos, worksheets, stories and songs to help Grade 5 students learn about quadrilaterals.

In this lesson, we will learn about quadrilaterals, special quadrilaterals and their attributes or properties.

Related Topics:
More Lessons for Grade 5 Math, Grade 5 Worksheets, More Geometry Lessons, Geometry Worksheets, Geometry Games

Quadrilaterals are four-sided polygons. Although rectangles are the most common quadrilaterals that we see in everyday life, there are many classes of quadrilaterals. The quadrilateral family includes squares, rectangles, rhombuses, parallelograms, kites, and trapezoids, along with other four sided regular and non-regular shapes.

All quadrilaterals have four straight sides, four vertices and four angles. Every quadrilateral has two diagonals. Since a diagonal divides the quadrilateral into two triangles, the sum of angles in a quadrilateral is always 180° + 180° = 360°

quadrilaterals

The chart below shows some special quadrilaterals.

Special Quadrilaterals

Some quadrilaterals do not fit into any of the above listed classifications.



Special Quadrilaterals.
A quadrilateral is a 4-sided polygon.
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
A rhombus is a quadrilateral with all 4 sides congruent.
A rectangle is a quadrilateral with 4 right angles.
A square is a rectangle with all 4 sides congruent.
Properties of Quadrilaterals
This video looks at properties of various quadrilaterals.


 
Naming quadrilaterals.
Properties of Quadrilaterals
A lesson on the properties of quadrilaterals (parallelogram, rectangle, square, rhombus, kite, trapezoid).
Properties of Parallelograms:
1) Opposite sides are parallel
2) Opposite sides are congruent
3) Opposite angles are congruent
4) Diagonals bisect each other
5) Any pair of consecutive angles are supplementary

Properties of Kites:
1) Two disjoint pairs of consecutive sides are congruent
2) The diagonals are perpendicular
3) One diagonal is the perpendicular bisector of the other.
4) One of the diagonals bisects a pair of opposite angles
5) One pair of opposite angles are congruent

Properties of Rhombuses:
1) All the properties of a parallelogram.
2) All the properties of a kite
3) All the sides are congruent
4) The diagonals divide the rhombus into four congruent right triangles

Properties of Squares:
1) All the properties of a rectangle and rhombus
2) All diagonals form four isosceles right triangles

Properties of an Isosceles Trapezoid:
1) The legs are congruent
2) The bases are parallel
3) The lower base angles are congruent
4) The upper base angles are congruent
5) The diagonals are congruent
6) Any lower base angle is supplementary to any upper base angle


Song about Quadrilaterals: Square, Kite, Rhombus, Trapezoid, Rectangle, Parallelogram.
Know Your Quadrilaterals Song.


 
The Quadrilateral Song ... a song rap to remember names and properties of quadrilaterals.
Quadrilateral Rap (Math Song)


Definitions of Special Quadrilaterals.
Naming Quadrilaterals.


 

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