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Lesson 1-6Lesson 1-6
PolygonsPolygons
Ohio Content Standards:
Ohio Content Standards:
• Formally define geometric
figures.
Ohio Content Standards:
• Use coordinate geometry to represent and examine the properties of geometric
figures.
Ohio Content Standards:
• Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.
Vocabulary
Vocabulary
Polygon:
Vocabulary
Polygon:A closed
figure formed
by a finite number
of segments
Vocabulary
Polygon:A closed
figure formed
by a finite number
of segments
Vocabulary
Concave:
Vocabulary
Concave:A
polygon that
“caves” in on itself.
Vocabulary
Concave:A
polygon that
“caves” in on itself.
Vocabulary
Convex:
Vocabulary
Convex:A
polygon that does not
“cave”
in.
Vocabulary
Convex:A
polygon that does not
“cave”
in.
Vocabulary
Convex:A
polygon that does not
“cave”
in.
Vocabulary
n-gon:
Vocabulary
n-gon:
A polygon with “n” sides.
VocabularyRegular
Polygon:
VocabularyRegular
Polygon:A convex polygon which all sides and angles are congruent.
Polygons:Number
of sides:
Polygons:Number
of sides:
3triangle
Polygons:Number
of sides:
4
quadrilateral
Polygons:Number
of sides:
5pentagon
Polygons:Number
of sides:
6hexagon
Polygons:Number
of sides:
7heptagon
Polygons:Number
of sides:
8octagon
Polygons:Number
of sides:
9nonagon
Polygons:Number
of sides:
10decagon
Polygons:Number
of sides:
12dodecagon
Name each polygon by the number of sides. Then classify it as convex or
concave, regular or irregular.
Name each polygon by the number of sides. Then classify it as convex or
concave, regular or irregular.
Name each polygon by the number of sides. Then classify it as convex or
concave, regular or irregular.
Vocabulary
Vocabulary
Perimeter:
Vocabulary
Perimeter:
The sum of the
lengths of the
polygons sides.
A masonry company is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below.
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 ft30 ft
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 ft30 ft
Find the perimeter of the foundation and determine how Find the perimeter of the foundation and determine how many bricks the company will need to complete the job. many bricks the company will need to complete the job.
Assume one brick is 8 inches long.Assume one brick is 8 inches long.
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 ft30 ft
The builder realizes he accidentally halved the size of The builder realizes he accidentally halved the size of the foundation, so he reworks the drawing with the the foundation, so he reworks the drawing with the
correct dimensions. How will this affect the perimeter of correct dimensions. How will this affect the perimeter of the house and the number of bricks needed?the house and the number of bricks needed?
Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4),
and E(-3, 1).
Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4),
and E(-3, 1).
The width of a rectangle is 5 less than twice the length. The
perimeter is 80 centimeters. Find the length of each side.
Assignment:
Pgs. 49 - 50 12-34 evens, 40-44 evens
