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**Polygons and Venn Diagrams**

A GEMS/ALEX Submission as part of a larger lesson “Relationships of Polygons: An in-depth investigation to foster mathematical thinking “ Submitted by: Elizabeth Thompson, PhD. Summer, 2008

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**Polygons 2 9 14 20 27 35 Name Number of sides/angles and vertices**

Diagonals Triangle 3 Polygon 4 2 Pentagon 5 Hexagon 6 9 Heptagon 7 14 Octagon 8 20 Nonagon 27 Decagon 10 35 Give drawn example of a polygon and its diagonals. Have students identify the pattern for the diagonals ( ….etc…)

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**Venn Diagrams – a sample**

Boys Class Girls Let the students make some sample with you in class on the board.

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**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. Keep this up while students work on their Venn Diagrams and/or print one slide and assign as Homework/Lab assignment on Paint.

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**The next slide will have a solution to the Venn Diagram Assignment.**

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**Solution All Quadrilaterals Parallelograms Trapezoids Rhombus Squares**

rectangles Click for Kite placement. If you like you can work on this with the students by having object ‘fly-in’…simply reformat the PowerPoint. Kites can be a rhombus or a square, but are not parallelograms…its hard to place the kite. What about Kites???

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