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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 thinkingA 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.Submitted by: Elizabeth Thompson, PhD. Summer, 2008Summer, 2008

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Polygons NameNumber of sides/angles and vertices Diagonals Triangle3 0 Polygon4 2 Pentagon5 5 Hexagon6 9 Heptagon7 14 Octagon8 20 Nonagon9 27 Decagon10 35

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Venn Diagrams – a sample Boys Class Girls

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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.

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

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Solution All 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.

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