This document defines and describes various polygons, including triangles, quadrilaterals, pentagons, hexagons, and octagons. It specifically focuses on different types of quadrilaterals such as parallelograms, rectangles, squares, rhombuses, and trapezoids. Key characteristics are provided, such as opposite sides being parallel and equal length for parallelograms, four right angles for rectangles, and all sides being equal length for squares. Special relationships between the quadrilaterals are also noted, such as rectangles, rhombuses, and squares all being types of parallelograms.

1. 10-3 Quadrilaterals and
Other Polygons
Math Notes

2. Vocabulary
A POLYGON is a closed figure made up of three or
more line segments.
A REGULAR POLYGON is one in which all the sides
have the SAME LENGTH and all angles have the SAME
MEASURE.

3. Triangle

4. Triangle

5. Triangle
3 sides

6. Triangle
3 sides
3 angles

7. Quadrilateral

8. Quadrilateral

9. Quadrilateral
4 sides

10. Quadrilateral
4 sides
4 angles

11. Pentagon

12. Pentagon

13. Pentagon
5 sides
5 angles

14. Hexagon

15. Hexagon

16. Hexagon
6 sides
6 angles

17. Octagon

18. Octagon

19. Octagon
8 sides

20. Octagon
8 sides
8 angles

21. Special QUADrilaterals

22. Special QUADrilaterals

23. Special QUADrilaterals
Parallelogram - A quadrilateral with
both pairs of opposite sides equal
in length and parallel.

24. Special QUADrilaterals
Parallelogram - A quadrilateral with
both pairs of opposite sides equal
in length and parallel.

25. Special QUADrilaterals
Parallelogram - A quadrilateral with
both pairs of opposite sides equal
in length and parallel.

26. Special QUADrilaterals
3 3
inches inches
Parallelogram - A quadrilateral with
both pairs of opposite sides equal
in length and parallel.

27. Special QUADrilaterals
5
inches
3 3
inches inches
5
inches
Parallelogram - A quadrilateral with
both pairs of opposite sides equal
in length and parallel.

28. Special QUADrilaterals

29. Special QUADrilaterals

30. Special QUADrilaterals
Rectangle - A parallelogram with
four right angles

31. Special QUADrilaterals
90˚ 90˚
90˚ 90˚
Rectangle - A parallelogram with
four right angles

32. Special QUADrilaterals
90˚ 90˚
90˚ 90˚
Rectangle - A parallelogram with
four right angles

33. Special QUADrilaterals
90˚ 90˚
90˚ 90˚
Rectangle - A parallelogram with
four right angles

34. Special QUADrilaterals

35. Special QUADrilaterals

36. Special QUADrilaterals
Square - A rectangle with all the
sides the SAME LENGTH

37. Special QUADrilaterals
90˚ 90˚
90˚ 90˚
Square - A rectangle with all the
sides the SAME LENGTH

38. Special QUADrilaterals

39. Special QUADrilaterals

40. Special QUADrilaterals
Rhombus - A
parallelogram
with all the
same the
SAME LENGTH.

41. Special QUADrilaterals
5 5
inches inches
Rhombus - A
parallelogram
with all the
same the
5 5 SAME LENGTH.
inches inches

42. Special QUADrilaterals

43. Special QUADrilaterals
Trapezoid - A
quadrilateral
with only
ONE PAIR of
parallel sides.

44. Special QUADrilaterals
Trapezoid - A
quadrilateral
with only
ONE PAIR of
parallel sides.

45. Special Relationships

46. Special Relationships

47. Special Relationships

48. Special Relationships

49. Special Relationships

50. Special Relationships

51. Special Relationships

52. Special Relationships
A rectangle,
rhombus, & square are
ALL PARALLELOGRAMS

53. Special Relationships
A rectangle,
rhombus, & square are
ALL PARALLELOGRAMS
A square is
a rectangle

54. Special Relationships
A rectangle,
rhombus, & square are
ALL PARALLELOGRAMS
A trapezoid
is neither
parallelogram,
rectangle,
rhombus,
square.
A square is
a rectangle

55. Special Relationships
A rectangle,
rhombus, & square are
ALL PARALLELOGRAMS
A trapezoid
is neither
parallelogram,
rectangle,
rhombus,
square.
A square is
a rectangle