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Classifying Polygons: Understanding Angles & Shapes

Learn to classify polygons, determine angle measures, and identify regular polygons in this geometry lesson. Explore tessellations and practical applications of polygon knowledge.

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Classifying Polygons: Understanding Angles & Shapes

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  1. Transparency 7 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 7-4b Objective Classify polygons and determine angle measure of polygons

  4. Example 7-4b Vocabulary Polygon A simple closed figure in a plane formed by three or more line segments

  5. Example 7-4b Vocabulary Pentagon A polygon having five sides

  6. Example 7-4b Vocabulary Hexagon A polygon having six sides

  7. Example 7-4b Vocabulary Octagon A polygon having eight sides

  8. Example 7-4b Vocabulary Nonagon A polygon having nine sides

  9. Example 7-4b Vocabulary Decagon A polygon having ten sides

  10. Example 7-4b Vocabulary Regular polygon A polygon that has all sides congruent and all angles congruent

  11. Example 7-4b Vocabulary Tessellation A repetitive pattern of polygons that fit together with no holes or gaps

  12. Example 7-4b Vocabulary Polygon A simple closed figure in a plane formed by three or more line segments

  13. Lesson 7 Contents Example 1Classify Polygons Example 2Classify Polygons Example 3Angle Measures of a Polygon

  14. Example 7-1a Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: Figure has curved sides Not a polygon Has curved sides Does not meet the definition of a polygon 1/3

  15. Example 7-1b Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: pentagon, not regular because all sides are not congruent 1/3

  16. Example 7-2a Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: Hexagon Not regular because sides are not congruent Has 6 sides Sides are not congruent 2/3

  17. Example 7-2b Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: not a polygon because sides overlap 2/3

  18. Example 7-3a ALGEBRAFind the measure of each angle of a regular heptagon. Round to the nearest hundredth of a degree. Draw a regular heptagon 1 2 Using only 1 vertex, draw a line to each of the other vertexes 3 Count the triangles 4 Remember: The sum of the angles of a triangle is 1800 5 1800 5 Multiply number of triangles by 1800 9000 3/3

  19. Example 7-3a ALGEBRAFind the measure of each angle of a regular heptagon. Round to the nearest hundredth of a degree. 2 Count number of angles in heptagon 3 1 Divide total degrees by number of angles 4 7 6 5 9000 7 Answer: 128.570 3/3

  20. Example 7-3b Find the measure of each angle in a regular hexagon. Answer: 120 3/3

  21. End of Lesson 7 Assignment

  22. Example 7-4a Using a protractor Draw a triangle with one angle 1200 and two angles 300 Cut the triangle out and make 5 copies to make 6 triangles Try to form a tessellation 4/4

  23. Example 7-4a PATTERNSMs. Pena is creating a pattern on her wall. She wants to use triangles with angles 120, 30, and 30. Can Ms. Pena tessellate with these triangles? The sum of the measures of the angles where the vertices meet must be 360 Both 30 and 120 divide evenly into 360. Therefore, Ms. Pena can arrange the triangles in a way that the angles where the vertices meet make 360. She can tessellate with these triangles. 4/4

  24. Example 7-4a CheckYou can check if your answer is correct by drawing a tessellation of triangles with angles measuring 120°, 30°, and 30°. Answer: Yes, they can be arranged in a way that the angles where the vertices meet make 360. 4/4

  25. Example 7-4b * QUILTINGEmily is making a quilt using fabric pieces shaped as equilateral triangles. Can Emily tessellate the quilt with these fabric pieces? Answer: Yes, they can be arranged in a way that the angles where the vertices meet make 360. 4/4

  26. Example 7-4b Using a protractor Draw a triangle with three angles 600 each (equilateral triangle) Cut the triangle out and make copies to make as many triangles as you need to form a tessellation 4/4

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