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Polygons. Polygons (Must Have All 3 )  closed 2-D shapes with three or more straight sides  sides meet only at the vertices  the number of sides is.

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Presentation on theme: "Polygons. Polygons (Must Have All 3 )  closed 2-D shapes with three or more straight sides  sides meet only at the vertices  the number of sides is."— Presentation transcript:

1 Polygons

2 Polygons (Must Have All 3 )  closed 2-D shapes with three or more straight sides  sides meet only at the vertices  the number of sides is equal to the number of vertices

3 Non-polygons  If a shape is missing any of the attributes of a polygon, it is a non-polygon

4 Regular polygons - all sides and angles are equal Irregular polygons – all sides and angles are not equal

5 Convex Polygon – all angles are less that 180 degrees Draw one Concave Polygon – at least one angle greater than 180 degrees Draw one Page 216-217 - #1,2,3, 4, 6

6 Congruency Using the shapes provided, identify pairs of polgons. How do you know they match? What do you notice? PairSide LengthsAngle Measures

7 Congruent – 2 shapes have equal sides and equal angles. Orientation does not matter. Page 222 - #1,2,3

8 Transformations Translations move a shape left, right, up, down, or diagonally without changing its orientation. A real-life example of a translation may be a chess piece moving on a chessboard.

9 Reflections can be thought of as the result of picking up a shape and flipping it over. The reflected image is the mirror image of the original. A real-life example of a reflection may be a pair of shoes.

10 Rotations move a shape around a turn centre. A real-life example of a rotation may be clock hands.

11 Handout Sheets

12 Designs using Transformations What is happening to make this pattern?

13 Tessellations A 2-D figure is said to tessellate if an arrangement of replications of it can cover a surface without gaps or overlapping. For example, If a number of triangles in the pattern blocks were used, you would be able to use them to cover a surface; therefore, this triangle is said to tessellate.

14 Regular tessellations are tessellations made up of regular polygons, all congruent to each other.

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18 Semi-regular tessellations are tessellations made up of regular polygons of 2 or more types so that the arrangement of polygons at each vertex is the same.

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21 Irregular tessellations are tessellations made up of an irregular shape that is translated repeatedly.

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24 Your mission is to develop your own. Remember there are NO gaps in between the shapes in ALL tessellations. This will also count towards an Art outcome. It should be neat and colored. Use a ruler. All shapes Must be congruent!


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