1.6 – Classify Polygons. Polygon: Plane figure that is formed by 3 or more segments, called sides such that: 1. Each side intersects exactly 2 other sides,

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Presentation transcript:

1.6 – Classify Polygons

Polygon: Plane figure that is formed by 3 or more segments, called sides such that: 1. Each side intersects exactly 2 other sides, once at each endpoint 2. No sides with a common endpoint are collinear 3. No curved sides

Side: Line segment forming the polygon M T S R Q

Vertex: Point where two sides meet M T S R Q M T S R Q

Consecutive Sides:Two sides that share a point, one after the other M T S R Q

Diagonal: Segment that joins two nonconsecutive sides M T S R Q

# of sidesName n triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon ? Extra Credit! dodecagon n-gon

Convex:No line that contains a side of the polygon contains a point in the interior of the polygon. (rubberband) Concave:Not convex! Think of a cave going inward!

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Curved side Yes, Concave or Convex OR No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, Concave or Convex OR No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, Concave or Convex OR No, _________________

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not? Yes, Concave or Convex OR No, ____________________ Side touches 3 other sides

EquilateralEquiangularRegular All sides are congruent All angles are congruent All sides AND all angles are congruent

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Regular Hexagon All sides and angles 

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Regular quadrilateral All sides and angles 

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Equiangular Octagon All angles , but not all sides

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. equilateral decagon All sides , but not all angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Regular Heptagon All sides and angles 

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning. Equilateral Quadrilateral All sides , but not all angles

3. The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x – 6 and 4x Find the length of a side of the quadrilateral. 8x – 6 4x x – 6 = 4x x – 6 = 22 4x = 28 x = 7 Side Length =8(7) – 6 = 50

1.7 - Find Perimeter, Circumference, and Area

Area: Perimeter: Square units inside a shape. Measured in u 2 cm 2, in 2, ft 2 Length around a shape. Measured in u cm, in, ft, yd, yd 2

Square: s

Rectangle:

Triangle: b ac h b a c h

Circle: d Diameter = 2  radius

1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

2. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

1. Find the perimeter and area of the shaded figure. Perimeter: _____________ Area: __________________

4. Use the information about the figure to find the indicated measure. Perimeter = 84ft Find the length.

Area = 432m 2 Find the width. 4. Use the information about the figure to find the indicated measure.

Area = 189cm 2 Find the height. 4. Use the information about the figure to find the indicated measure.

HW Problem # 40a (hexagon) odd, 14, odd, 37, 40(a only), odd, 27-29, 34-37, 41 Ans: 6 sides, 9 diagonals **Bring ALL supplies tomorrow for review