CLASSIFYING QUADRILATERALS

1. CLASSIFYING QUADRILATERALS “…geometric shapes are the alphabet in which the book of nature is written." -Galileo

2. Objectives • You are learning to classify quadrilaterals.

3. Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space

4. Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space

5. Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space

6. Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space

7. Figure- a line or shape that represents something Polygon- A closed plane figure. Straight edges Shape- A closed figure Line- a series of points that extends forever Point- A place in time or space

8. Polygon- A closed plane figure. Straight edges Shape- A closed figure

9. Polygon- A closed plane figure. Straight edges Shape- A closed figure

10. Polygon- A closed plane figure. Straight edges Shape- A closed figure

11. Polygon- A closed plane figure. Straight edges Shape- A closed figure

12. Polygon- A closed plane figure. Straight edges Shape- A closed figure

13. A closed plane figure. Straight edges A closed plane figure. Straight edges Polygon- Shape- A closed figure

14. A closed plane figure. Straight edges Polygon- A closed plane figure. Straight edges

15. Quadrilateral- A closed plane figure straight edges Polygon- A closed plane figure. Straight edges

16. Quadrilateral- A closed plane figure straight edges Polygon- A closed plane figure. Straight edges

17. Quadrilateral- A closed plane figure straight edges four Polygon- A closed plane figure. Straight edges

18. Quadrilateral- A closed plane figure straight edges Polygon- A closed plane figure. Straight edges four

19. Quadrilateral- A closed plane figure four straight edges

20. Quadrilateral- A closed plane figure four straight edges

21. Quadrilateral- A closed plane figure four straight edges

22. Quadrilateral- A closed plane figure four straight edges

23. Quadrilateral- A closed plane figure four straight edges

24. Quadrilateral- A closed plane figure four straight edges every single one of these polygons. What a mess!

25. Let’s get organized! Like other polygons, quadrilaterals have properties. We can look at the length of the sides. acute-an angle less than 90 We can look at the size of the angles angle-measures how far a figure has rotated around a point right acute obtuse congruent-exact same shape-exact same size We look to see if opposite sides are parallel obtuse-an angle greater than 90 parallel-lines that never meet We look to see if opposite sides are congruent right-an angle equal to 90

26. Let’s get organized! Like other polygons, quadrilaterals have properties. We classify quadrilaterals into groups that have similar properties. acute-an angle less than 90 These groups are called angle-measures how far a figure has rotated around a point parallelogram parallelograms para ogram lel classify-organize into groups based on properties rectangles congruent-exact same shape-exact same size square rhombi (Plural for rhombus) obtuse-an angle greater than 90 trapezoids Kite or diamond parallel-lines that never meet irregular right-an angle equal to 90 Similar-same figure could be different size

27. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

28. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

29. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

30. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

31. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

32. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

33. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

34. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

35. Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

36. Parallelograms Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. So we look at another property Four right angles right acute obtuse

37. Parallelograms Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. So we look at another property Four right angles

38. Parallelograms Opposite sides are parallel. Rectangles Four right angles A square is a rectangle

39. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square A square is a rectangle that has congruent sides All four sides are exactly the same size

40. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square A square is a rectangle that has congruent sides All four sides are exactly the same size

41. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent

42. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent There is one more type of parallelogram. It is called a rhombus

43. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent Rhombus There is one more type of parallelogram. It is called a rhombus

44. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Four sides are congruent Rhombus Four sides are congruent

45. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Four sides are congruent Rhombus Four sides are congruent But does not need four right angles

46. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Rhombus But does not need four right angles Four sides are congruent

47. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Rhombus But does not need four right angles Four sides are congruent

48. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Rhombus But does not need four right angles Four sides are congruent

49. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Rhombus But does not need four right angles Four sides are congruent Now let’s talk about two more types of quadrilaterals. They are not parallelograms

50. Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Square Rhombus But does not need four right angles Four sides are congruent Now let’s talk about two more types of quadrilaterals. parallelograms They are not