polygons, convex and concave

2. 
define a polygon
differentiate a convex from
non-convex
name and draw a polygon according
to its number of sides
OBJECTIVES

3. 
POLYGON
 Polygons  Not a Polygon
... .
.
..

4. 
DIRECTION:
Write YES if it is a
polygon and NO if otherwise.
Which of these are
polygons?

5. 
1.
..
.

6. 
2.
.
.

7. 
3.
.
.
.
.

8. 
4.
..
.

9. 
5.
.
.
.

10. 
6.
..
..
. .

11. 
7.
.
.
.
.

12. 
8.
. .
.
. .
.
..

13. 
9.
..
. .

14. 
10.
.
.
..

15. 
1. A polygon is formed by ____________.
2. A segment is the __________ of the
polygon.
3. The endpoints are the __________ of the
polygon.
4. At least _______ line segments are needed
to form a polygon.
5. Polygon is ______________.
Answer the following and based your
answer from the previous activity.

16. 1. A polygon is formed by ____________.
2. A segment is the __________ of the polygon.
3. The endpoints are the __________ of the
polygon.
4. At least _______ line segments are needed to
form a polygon.
5. Polygon is ______________.
Answer the following and based your
answer from the previous activity.
connecting line segments
sides
vertices
A closed figure formed by connecting 3 or more line
segments at their endpoints. The segments are the sides of
the polygon while the endpoints are the vertices
3

17. 
Classification of Polygon
No. of
sides
No. of
sidesName Name
3
4
5
6
7
8
9
10
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon

18. 
Convex Polygon
- if all the segments joining
two points on the polygon lies
completely inside, otherwise its
non-convex
Convex and Non-Convex

19. 
Direction:
Identify whether the
following figures are convex or
non-convex.
Which of the following
is convex?

20. 
1.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

21. 
2.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

22. 
3.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

23. 
4.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

24. 
5.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

25. 
6.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

26. 
7.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

27. 
8.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

28. 
9.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

29. 
10.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex

30. 
Draw the following polygon and
classify as convex or non-convex.
1. Triangle
2. Quadrilateral
3. Pentagon
APPLICATION

31. 
Prepare a ½ pad paper and draw the
following polygons. One is convex
and the other is non-convex.
1. Hexagon
2. Heptagon
3. Octagon
EVALUATION

33. 
Draw an evacuation map in your
sitio when calamity occurs from your
house. Use different kinds of
polygons as your markers in your
plan. Identify each polygon used in
the map.
AGREEMENT

34. 
RUBRICS
Number
of
polygon
used
Work
Presentation
5 or more
different
polygons
used in
the plan
4 different
polygons
used in the
plan
Organized,
neat, and
there is an
evidence of
creativity
in work
3 different
polygons
used in the
plan
2 different
polygons
used in
the plan
1 polygon
used in
the plan
Organized
and neat
Organized With
drawing
but the
direction is
not clear
Unfinished
drawing
10 8 6 4 2

35. 
1. YES
..
.

36. 
2. NO
.
.

37. 
3. YES
.
.
.
.

38. 
4.
NO
..
.

39. 
5.
YES
.
.
.

40. 
6. YES
..
..
. .

41. 
7. NO
.
.
.
.

42. 
8. NO
. .
.
. .
.
..

43. 
9. YES
..
. .

44. 
10. NO
.
.
..

45. 
POLYGONS
..
. . .
.
.
.
.
.
..
..
..
..
. .

46. 
1.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
CONVEX

47. 
2.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
CONVEX

48. 
3.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
NON-CONVEX

49. 
4.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
NON-CONVEX

50. 
5.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
CONVEX

51. 
6.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
CONVEX

52. 
7.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
NON-CONVEX

53. 
8.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
CONVEX

54. 
9.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
NON-CONVEX

55. 
10.
Convex Polygon - all the segments joining two
points on the polygon lies completely inside,
otherwise its non-convex
NON-CONVEX

56. 
TRIANGLE
Note: All triangles are convex

57. 
Quadrilateral

58. 
Pentagon

59. 
HEXAGON

60. 
HEPTAGON

61. 
OCTAGON