Text of Lesson 1-6 Polygons. Ohio Content Standards: Formally define geometric figures
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Lesson 1-6 Polygons
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Ohio Content Standards:
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Formally define geometric figures.
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Ohio Content Standards: Use coordinate geometry to represent
and examine the properties of geometric figures.
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Ohio Content Standards: Make and test conjectures about
characteristics and properties (e.g., sides, angles, symmetry) of
two-dimensional figures and three-dimensional objects.
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Vocabulary
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Polygon:
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Vocabulary Polygon: A closed figure formed by a finite number
of segments
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Vocabulary Polygon: A closed figure formed by a finite number
of segments
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Vocabulary Concave:
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Vocabulary Concave: A polygon that caves in on itself.
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Vocabulary Concave: A polygon that caves in on itself.
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Vocabulary Convex:
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Vocabulary Convex: A polygon that does not cave in.
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Vocabulary Convex: A polygon that does not cave in.
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Vocabulary Convex: A polygon that does not cave in.
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Vocabulary n-gon:
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Vocabulary n-gon: A polygon with n sides.
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Vocabulary Regular Polygon:
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Vocabulary Regular Polygon: A convex polygon which all sides
and angles are congruent.
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Polygons: Number of sides:
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Polygons: Number of sides: 3 triangle
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Polygons: Number of sides: 4 quadrilateral
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Polygons: Number of sides: 5 pentagon
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Polygons: Number of sides: 6 hexagon
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Polygons: Number of sides: 7 heptagon
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Polygons: Number of sides: 8 octagon
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Polygons: Number of sides: 9 nonagon
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Polygons: Number of sides: 10 decagon
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Polygons: Number of sides: 12 dodecagon
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Name each polygon by the number of sides. Then classify it as
convex or concave, regular or irregular.
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Vocabulary
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Perimeter:
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Vocabulary Perimeter: The sum of the lengths of the polygons
sides.
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A masonry company is contracted to lay three layers of
decorative brick along the foundation for a new house given the
dimensions below.
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40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 ft
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A masonry company is contracted to lay three layers of
decorative brick along the foundation for a new house given the
dimensions below. 40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 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.
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A masonry company is contracted to lay three layers of
decorative brick along the foundation for a new house given the
dimensions below. 40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 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?
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Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0),
C(3, -4), D(-3, -4), and E(-3, 1).
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The width of a rectangle is 5 less than twice the length. The
perimeter is 80 centimeters. Find the length of each side.