This document defines and classifies different types of quadrilaterals. It introduces quadrilaterals and defines special types including parallelograms, rectangles, rhombuses, squares, and trapezoids. Quadrilaterals can have multiple names because some properties overlap between types. The best name is the most specific one. The document shows how the types are related through Venn diagrams and concept maps, and provides examples of classifying quadrilaterals and identifying the best name.

1. Classifying
Quadrilaterals
Math 2
Lowell Middle School
Mrs. MacDermaid

2. Quadrilateral
• A quadrilateral is a
four-side polygon.

3. Special Quadrilaterals
• Parallelogram
• Rectangle
• Rhombus
• Square
• Trapezoid

4. Parallelogram
• Both pairs of opposite sides
are parallel and congruent.
Both pairs of opposite angels
are congruent.

5. Rectangle
• Parallelogram with four right
angles.

6. Rhombus
• Parallelogram with four
congruent sides

7. Square
• Parallelogram with four
congruent sides and four right
angles.

8. Trapezoid
• Exactly one pair of opposite
sides is parallel.

9. Classifying Quadrilaterals
• Quadrilaterals can have more
than one name because the
special quadrilaterals
sometimes share properties.
• The best name is the one that
is the most specific.

10. How the Quadrilaterals are Related
(Venn Diagram)
Parallelograms
Squares
Rectangles
Rhombuses
Quadrilaterals
Trapezoids

11. How the Quadrilaterals are Related
(Concept Map)
Parallelograms
Squares
RectanglesRhombuses
Quadrilaterals
TrapezoidsOther

12. Try This!
• Give all the names that apply to each
quadrilateral. Then give the name that
best describes it.

13. Try This!
• Give all the names that apply to each
quadrilateral. Then give the name that
best describes it.
• The figures has opposite sides that
are parallel so it is a parallelogram.
• The figures has four right angles, so it
is a rectangle.
• Rectangle is more specific so it is the
best name.

14. Try This!
• Give all the names that apply to each
quadrilateral. Then give the name that
best describes it.

15. Try This!
• Give all the names that apply to each
quadrilateral. Then give the name that
best describes it.
• The figures has exactly one pair of
opposite sides that is parallel, so it is a
trapezoid..
• Trapezoid is the name that best
describes this quadrilateral.

16. Clip Art Credits
• Slide #2 Microsoft Office Clip Art Gallery
http://office.microsoft.com/en-us/images/results.aspx?qu=geometric%20shapes#ai:MC900048066|
http://office.microsoft.com/en-us/images/results.aspx?qu=geometric%20shapes#ai:MC900048064|
http://office.microsoft.com/en-us/images/results.aspx?qu=geometric%20shapes#ai:MC900048068|
http://office.microsoft.com/en-us/images/results.aspx?qu=geometric%20shapes#ai:MC900048065
• All other Slides
Original line drawings by Sharon MacDermaid