POLYGONS
1. INTRODUCTION TO POLYGONS
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A. BASIC CONCEPTS
1. Simple and Closed Curves
2. Definitions
3. Convex and Concave Polygons
4. Types of Polygon
5. Diagonals in a Polygon
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B. BASIC PROPERTIES OF A CONVEX POLYGON
1. Number of Diagonals
2. Angle Measures
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C. REGULAR POLYGONS
1. Definition
2. Basic Properties of a Regular Polygon
a. Interior angle measures
b. Exterior angle measures
3. Inscribed and Circumscribed Polygons
a. Formulas for the radii of inscribed and circumscribed circles
–Activity: The Game of Sprouts
–Activity: Tessellations
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2. QUADRILATERALS
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A. QUADRILATERALS AND THEIR BASIC PROPERTIES
1. Definitions
2. Basic Properties of a Quadrilateral
a. Angles of a quadrilateral
b. Sides of a quadrilateral
3. Inscribed and Circumscribed Quadrilaterals
–Activity: Tangrams
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3. SPECIAL QUADRILATERALS
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A. PARALLELOGRAM
1. Definition
2. Properties of a Parallelogram
3. Proving that a Quadrilateral Is a Parallelogram
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B. RECTANGLE
1. Definition
2. Properties of a Rectangle
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C. RHOMBUS
1. Definition
2. Properties of a Rhombus
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D. SQUARE
1. Definition
2. Properties of a Square
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E. TRAPEZOID
1. Definition
2. Properties of a Trapezoid
3. Isosceles Trapezoids
a. Definition
b. Properties of an isosceles trapezoid
4. Right Trapezoids
a. Definition
b. Properties of a right trapezoid
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F. KITE
1. Definition
2. Properties of a Kite