Two and Three Dimensional Figures

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Presentation transcript:

Two and Three Dimensional Figures Polygons Two and Three Dimensional Figures

Two-Dimensional Polygons

1. Polygons Closed plane figures that have three or more line segments called sides.

2. Plane Figure A two-dimensional figure with length and width.

4. Quadrilateral A four sided polygon. Quad means 4. 4 sides, 4 angles, and 4 vertices,. Side 1 Vertex 1 Vertex 2 Angle 1 Angle 2 Side 4 Side 2 Angle 4 Angle 3 Vertex 4 Vertex 3 Side 3

Types of Quadrilaterals: Rectangle A quadrilateral with 4 right (90 degree) angles, opposite sides parallel and equal in length. Rhombus A four-sided polygon having all four sides congruent, opposite sides parallel, and no right angles. Copyright 1999-2008 http://regentsprep.org Oswego City School District Regents Exam Prep Center

Four-sided polygon with opposite sides parallel; no right angles. Types of Quadrilaterals: Square A four-sided polygon with all sides the same length; four right angles. Parallelogram Four-sided polygon with opposite sides parallel; no right angles. Copyright 1999-2008 http://regentsprep.org Oswego City School District Regents Exam Prep Center

A four-sided polygon with only one pair of parallel sides. Types of Quadrilaterals: Trapezoid A four-sided polygon with only one pair of parallel sides.

5. Other Polygons: Pentagon Hexagon “Penta” means 5. This is a 5-sided polygon. It has 5 sides, 5 angles, and 5 vertices. Hexagon “Hex” means 6. This is a 6-sided polygon. It has 6 sides, 6 angles, and 6 vertices. http://www.mathleague.com/help/geometry/polygons.htm#vertex

Heptagon “Hepta” means 7. This is a 7-sided polygon. It has 7 sides, 7 angles, and 7 vertices. Octagon “Oct” means 8. This is a 8-sided polygon. It has 8 sides, 8 angles, and 8 vertices. http://www.mathleague.com/help/geometry/polygons.htm#vertex

Nonagon “Nona” means 9. This is a 9-sided polygon. It has 9 sides, 9 angles, and 9 vertices. Decagon “Dec” means 10. This is a 10-sided polygon. It has 10 sides, 10 angles, and 10 vertices. http://www.mathleague.com/help/geometry/polygons.htm#vertex

Yes, it is a polygon. It is a closed figure with straight sides. Are these Polygons? Not a Polygon (open, not closed) Yes, it is a polygon. It is a closed figure with straight sides.

Are these Polygons? Not a Polygon (has a curve) Not a Polygon

Yes, it is a polygon. It is a closed figure with straight sides. Are these Polygons? Yes, it is a polygon. It is a closed figure with straight sides. Not a Polygon (has a curve)

Yes, it is a polygon. It is a closed figure with straight sides. Are these Polygons? Yes, it is a polygon. It is a closed figure with straight sides. Not a Polygon (open, not closed)