Polygons and Venn Polygons and Venn DiagramsDiagrams

Polygons and Venn Polygons and Venn DiagramsDiagrams

•A GEMS/ALEX Submission as part of a larger lesson A GEMS/ALEX Submission as part of a larger lesson “Relationships of Polygons: An in-depth investigation to “Relationships of Polygons: An in-depth investigation to foster mathematical thinking “foster mathematical thinking “

•Submitted by: Elizabeth Thompson, PhD.Submitted by: Elizabeth Thompson, PhD.

•Summer, 2008Summer, 2008

PolygonsName Number of sides/angles

and verticesDiagonals

Triangle 3 0Polygon 4 2Pentagon 5 5Hexagon 6 9Heptagon 7 14Octagon 8 20Nonagon 9 27Decagon 10 35

Venn Diagrams – a sample

Boys

ClassGirls

Assignment: Create a Venn Diagram using the four sided polygons & their characteristics

A parallelogram has two parallel pairs of opposite sides.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.

Trapezoids only have one pair of parallel sides. It is not a parallelogram.

Kites- two pairs of adjacent sides that are equal.

The next slide will have a solution to the Venn

Diagram Assignment.

SolutionAll Quadrilaterals

Parallelograms

Rhombus rectangles

Squares

Trapezoids

What about Kites???

Kites can be a rhombus or a square, but are not parallelograms…its hard

to place the kite.