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Exploring Polygons: Shapes, Perimeters, and Characteristics

Learn to classify polygons, calculate perimeters, and analyze geometric figures using coordinate geometry. Practice with regular and irregular polygons. Solve real-world perimeter problems and explore the relationships between sides and angles.

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Exploring Polygons: Shapes, Perimeters, and Characteristics

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  1. Lesson 1-6 Polygons

  2. Ohio Content Standards:

  3. Ohio Content Standards: • Formally define geometric figures.

  4. Ohio Content Standards: • Use coordinate geometry to represent and examine the properties of geometric figures.

  5. Ohio Content Standards: • Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

  6. Vocabulary

  7. Vocabulary Polygon:

  8. Vocabulary A closed figure formed by a finite number of segments Polygon:

  9. Vocabulary A closed figure formed by a finite number of segments Polygon:

  10. Vocabulary Concave:

  11. Vocabulary A polygon that “caves” in on itself. Concave:

  12. Vocabulary A polygon that “caves” in on itself. Concave:

  13. Vocabulary Convex:

  14. Vocabulary A polygon that does not “cave” in. Convex:

  15. Vocabulary A polygon that does not “cave” in. Convex:

  16. Vocabulary A polygon that does not “cave” in. Convex:

  17. Vocabulary n-gon:

  18. Vocabulary A polygon with “n” sides. n-gon:

  19. Vocabulary Regular Polygon:

  20. Vocabulary A convex polygon which all sides and angles are congruent. Regular Polygon:

  21. Polygons: Number of sides:

  22. Polygons: Number of sides: triangle 3

  23. Polygons: Number of sides: quadrilateral 4

  24. Polygons: Number of sides: pentagon 5

  25. Polygons: Number of sides: hexagon 6

  26. Polygons: Number of sides: heptagon 7

  27. Polygons: Number of sides: octagon 8

  28. Polygons: Number of sides: nonagon 9

  29. Polygons: Number of sides: decagon 10

  30. Polygons: Number of sides: dodecagon 12

  31. Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular.

  32. Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular.

  33. Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular.

  34. Vocabulary

  35. Vocabulary Perimeter:

  36. Vocabulary The sum of the lengths of the polygons sides. Perimeter:

  37. A masonrycompany is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below.

  38. A masonrycompany is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below. 30 ft 30 ft 8 ft 36 ft 40 ft 12 ft 24 ft 36 ft

  39. A masonrycompany is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below. 30 ft 30 ft 8 ft 36 ft 40 ft 12 ft 24 ft 36 ft Find the perimeter of the foundation and determine how many bricks the company will need to complete the job. Assume one brick is 8 inches long.

  40. A masonrycompany is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below. 30 ft 30 ft 8 ft 36 ft 40 ft 12 ft 24 ft 36 ft The builder realizes he accidentally halved the size of the foundation, so he reworks the drawing with the correct dimensions. How will this affect the perimeter of the house and the number of bricks needed?

  41. Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4), and E(-3, 1).

  42. Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4), and E(-3, 1).

  43. The width of a rectangle is 5 less than twice the length. The perimeter is 80 centimeters. Find the length of each side.

  44. Assignment: Pgs. 49 - 50 11-24 all, 28-34 evens 40-44 evens

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