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(page 446-449)

10-7 Polygons & Tessellations. (page 446-449). Indicator  G2: Properties of 2-dimensional figures. The size and shape of each state in the United States is different. Analyze the shapes of the states in both groups below. 1. 1. 2. 1. 2. 1. 2. 2.

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(page 446-449)

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  1. 10-7 Polygons & Tessellations (page 446-449) Indicator  G2: Properties of 2-dimensional figures

  2. The size and shape of each state in the United States is different. Analyze the shapes of the states in both groups below. 1 1 2 1 2 1 2 2 What are the differences between the shapes in the two groups?

  3. On the previous slide, the states from group 1 are polygons. • A polygon is a simple, closed figure formed by 3 or more straight lines. • A simple figure does not have lines that cross each other.

  4. Polygons are classified by the number of sides they have.

  5. A polygon that has all sides congruent and all angles congruent is called a regular polygon. • Equilateral triangles and squares are examples of regular polygons.

  6. Reminder: The sum of all angles in a triangle is 180º and in a quadrilateral is 360º. To find the measure of the angles in a regular polygon: • Draw all the diagonalsfrom ONE vertex & count the number of triangles. (Each Triangle= 180º) • Find the sum of the angle measures in the polygon. • Find the measure of each angle by dividing by the number of angles. 1 2 3 3 Triangles 3 × 180º = 540º 5n = 540 5 5 n= 108 The measure of each angle in a regular pentagon is 108º.

  7. One more thing… • A tessellation is a pattern of polygons that fit together with no overlaps and no holes. • The sum of the measures of the angles where the vertices meet in a tessellation is 360º 90º 135 135 +90 360º 135º 135º

  8. Homework • Page 449-450 #8-28 even, 32-45 all • & Extra Credit Tessellation • (Must be in color)

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