1. Polygons

2. Triangle
Sides = 3 , Vertices = 3 , Angles = 3

3. Quadrilateral
Sides = 4 , Vertices = 4 , Angles = 4

4. Properties of quadrilaterals
All quadrilaterals : have 2 pairs of Equal & Parallel sides
Except Trapezoid : has only 1 pair of parallel sides
The Square & the Rectangle : have 4 pairs of perpendicular sides (OR)
We can say Square & Rectangle : All angles are right (90)

5. Pentagon
Sides = 5 , Vertices = 5 , Angles = 5

6. Hexagon
Sides = 6 , Vertices = 6 , Angles = 6

7. Heptagon
Sides = 7 , Vertices = 7 , Angles = 7

8. Octagon
Sides = 8 , Vertices = 8 , Angles = 8

9. Nonagon
Sides = 9 , Vertices = 9 , Angles = 9

10. Decagon
Sides = 10 , Vertices = 10 , Angles = 10

11. Regular & Irregular polygons
All Side lengths are =
All Angles are = in measure
Irregular Polygons
Not all Sides are = in lengths
Not all angles are = in measure * * *

12. Polyhedrons

13. Polyhedrons
Polyhedron : Is a 3-D figure in which each side is a flat surface / doesn’t have any curved surfaces
Polyhedrons is derived from
Poly = many , hedron = face
So polyhedron = many faces geometric shape

14. Prism
Is a polyhedron with 2 congruent bases

15. Prisms
1) Triangular Prism
Base : Triangle

16. Prisms
2) Rectangular Prism = Cuboid
Base : Rectangle

17. Prisms
2) Pentagonal Prism
Base : Pentagon

18. Prisms
2) Hexagonal Prism
Base : Hexagon

19. Prisms
2) Octagonal Prism
Base : Octagon

20. Pyramids

21. Pyramids Is a polyhedron that has 1 base & go to a point at a top

22. Pyramids
1) Triangular Pyramid
Base : Triangle

23. Pyramids
2) Rectangular Pyramid
Base : Rectangle

24. Pyramids
3) Square Pyramid
Base : Square

25. Pyramids
4) Pentagonal Pyramid
Base : Pentagon

26. Non – Polyhedrons
Cone
Has 1 curved surface – polyhedrons has no curves
Has 1 circular base - which is not polygon
Sphere
Has no bases

27. Non – Polyhedrons Cylinder
Has 1 curved surface – polyhedrons has no curves
Has 2 circular base - which is not polygon
Triangle
Is not a 3-D shape

28. Volumes Volume of a prism = L x W x H
Where L is the length , W is the width , H is the height

29. Volume = L x W x H Volume = 8 x 5 x 10 = 40 x 10 =400 cubic cm

30. Volume = L x W x H Volume = 3 x 4 x 6 = 12 x 6 = 72 cubic cm

31. According to its measures of angles
Types Of Triangles
According to its measures of angles

32. Acute Angle Triangle
Definition: ACUTE Triangle a triangle in which all angles are acute.
Greatest angle : Acute

33. Right Angled Triangle
Definition: RIGHT Triangle a triangle in which one of the angles is a right angle.
Greatest angle : Right
Any triangle has at most 1 right angle C B A 60 30

34. Obtuse Angle Triangle
Definition: OBTUSE Triangle a triangle in which one of the angles is an obtuse angle.
Greatest angle : Obtuse
Any triangle has at most 1 Obtuse angle

35. According to its side lengths
Types Of Triangles
According to its side lengths

36. Scalene Triangle Definition: Scalene
Triangle: a triangle in which NO sides are equal.
5 cm
3 cm
4 cm

37. Isosceles Triangle Definition: Isosceles
Triangle: a triangle in which 2 sides are congruent.
7 cm
7 cm
3 cm

38. Equilateral Triangle
Definition: Equilateral Triangle: a triangle in which All sides are equal. * * *

39. Simplifying Fraction If the Ones are: 0,0 ÷ 10 0,5 ÷ 5 5,5 ÷ 5
0, ÷ 10
0, ÷ 5
5, ÷ 5
Even No ÷ 2
Even , Odd ÷ Odd
Sum of digits = No. in table ÷ 3

40. Fractions Any proper fraction < 1 ex: 3 4 < 1
Any Improper fraction > ex: > 1
= (3 × 4) = 13 4
20 3 = …. 3 = 6 2 3
3 x 6 = 18 6 3 20 - 18
---- 2

41. Comparing Any No. x proper fraction < Same No. 3 x 3 4 < 3
Any No. x Improper fraction > Same No.
x > 3