1. Two and Three Dimensional Figures
Polygons
Two and Three Dimensional Figures

2. Two-Dimensional
Polygons

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

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

5. 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

6. 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.
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7. 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.
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8. 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.

9. 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 sided polygon. It has 6 sides, 6 angles, and 6 vertices.

10. Heptagon
“Hepta” means 7. This is a sided polygon. It has 7 sides, 7 angles, and 7 vertices.
Octagon
“Oct” means 8. This is a sided polygon. It has 8 sides, 8 angles, and 8 vertices.

11. Nonagon
“Nona” means 9. This is a 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.

12. 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.

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

14. 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)

15. 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)