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Lesson 1-6

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Lesson 1-6

Polygons

- Formally define geometric figures.

- Use coordinate geometry to represent and examine the properties of geometric figures.

- Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

Polygon:

A closed figure formed by a finite number of segments

Polygon:

A closed figure formed by a finite number of segments

Polygon:

Concave:

A polygon that “caves” in on itself.

Concave:

A polygon that “caves” in on itself.

Concave:

Convex:

A polygon that does not “cave” in.

Convex:

A polygon that does not “cave” in.

Convex:

A polygon that does not “cave” in.

Convex:

n-gon:

A polygon with “n” sides.

n-gon:

Regular Polygon:

A convex polygon which all sides and angles are congruent.

Regular Polygon:

Number of sides:

Number of sides:

triangle

3

Number of sides:

quadrilateral

4

Number of sides:

pentagon

5

Number of sides:

hexagon

6

Number of sides:

heptagon

7

Number of sides:

octagon

8

Number of sides:

nonagon

9

Number of sides:

decagon

10

Number of sides:

dodecagon

12

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.

Perimeter:

The sum of the lengths of the polygons sides.

Perimeter:

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

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

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.

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?

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