Lesson 1-6 Polygons. Ohio Content Standards: Formally define geometric figures.

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Presentation transcript:

Lesson 1-6 Polygons

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

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.

Vocabulary Regular Polygon:

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

Polygons: Number of sides:

Polygons: Number of sides: 3 triangle

Polygons: Number of sides: 4 quadrilateral

Polygons: Number of sides: 5 pentagon

Polygons: Number of sides: 6 hexagon

Polygons: Number of sides: 7 heptagon

Polygons: Number of sides: 8 octagon

Polygons: Number of sides: 9 nonagon

Polygons: Number of sides: 10 decagon

Polygons: Number of sides: 12 dodecagon

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

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.

40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 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 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.

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?

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 evens, evens