1. Angles and Shapes Review

2. Points, Lines, Angles C G A E U T H B F I D X J L Point ____________
Line Segment
Line
Intersecting Line
Perpendicular Line
Parallel Lines
Ray
Vertex
Acute Angle
Obtuse Angle
Right Angle
Straight Angle P M O N V S
EQ: Where do we see angles in everyday life?

3. Line Segment ______________ Line _____________
Please find each of the following on the attached picture. Please write the symbol and letter for each so I know what you found!
Point ____________
Line Segment ______________
Line _____________
Intersecting Lines ____________________________
Perpendicular Lines _______________
Parallel Lines ________________

6. B A C D

7. Can you name these angles?1 2 3 4

8. Polygon Graphic Organizer
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Right Triangle
Obtuse Triangle
Acute Triangle
Rectangle
Square
Trapezoid

9. Polygon Graphic Organizer
Parallelogram
Rhombus
Pentagon
Hexagon
Octagon
Triangle
Quadrilateral
Regular Polygon
Irregular Polygon

10. What is a polygon?

11. What is a polygon?
When line segments are connected at endpoints to make a closed figure, a polygon is formed.
Line segments are called SIDES.

12. What is a regular polygon?
What is an irregular polygon?

13. What are regular and irregular polygons?
A regular polygon has all sides equal lengths and all angles equal degrees.
An irregular polygon does not have all sides equal length or all angles equal degrees.

14. How are polygons named?

15. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

16. I have only one pair of parallel sides.
What do I look like?
I have only one pair of parallel sides.

17. I’m a trapezoid.

18. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

19. I have opposite sides parallel and opposite sides are the same length.
What do I look like?
I have opposite sides parallel and opposite sides are the same length.

20. I’m a parallelogram.

21. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

22. My opposite sides are parallel and all four angles are right angles.
What do I look like?
My opposite sides are parallel and all four angles are right angles.

23. I’m a rectangle.

24. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

25. What do I look like?
My opposite sides are parallel and my four sides are the same length.

26. I’m a rhombus.

27. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

28. I have four sides that are the same length and 4 right angles.
What do I look like?
I have four sides that are the same length and 4 right angles.

29. I’m a square.

31. Properties of Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
4 connected sides.
Only one set of equal sides.
Opposite sides equal.
Opposite sides parallel.
All sides are equal.
Opposite angles equal.
All angles are 90 degrees.

33. What do I look like?
I have 8 sides and 8 angles.

34. I’m an octagon.

35. I have six sides and six angles.
What do I look like?
I have six sides and six angles.

36. I am a hexagon.

37. What do I look like?
I have 5 sides and 5 angles.

38. I’m a pentagon.

39. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles

40. I have 3 sides. None of my sides are the same length.
What do I look like?
I have 3 sides. None of my sides are the same length.

41. I’m a scalene triangle.

42. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles

43. I have 3 sides. At least 2 sides are the same length.
What do I look like?
I have 3 sides. At least 2 sides are the same length.

44. I’m an Isosceles Triangle

45. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles

46. What do I look like?
I have 3 sides and all my sides are the same length and all my angles are the same.

47. I’m an equilateral triangle.

48. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles

49. I have 3 sides and one angle is a right angle.
What do I look like?
I have 3 sides and one angle is a right angle.

50. I’m a right triangle.

51. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles
One 90 degree angle
All -90 degree angles
One +90 degree angle

52. I have 3 sides and all my angles are acute angles.
What do I look like?
I have 3 sides and all my angles are acute angles.

53. I’m an acute triangle.

54. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles
One 90 degree angle
All -90 degree angles
One +90 degree angle

55. I have 3 sides and one of my angles is an obtuse angle.
What do I look like?
I have 3 sides and one of my angles is an obtuse angle.

56. I’m an obtuse triangle.

57. Properties of Triangles
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
Three connected sides
No equal sides
Two equal sides
Three equal sides
No equal angles
Two equal angles
Three equal angles
One 90 degree angle
All -90 degree angles
One +90 degree angle

58. Polygons

59. Diagonal Lines and The Triangle Secret!
How do the properties of geometric figures influence their use? How do diagonal lines help us understand how geometric figures are created?

60. Circles

61. Circle What makes a circle different from a polygon?
Is this a polygon? Yes or No
Draw a radius A A B D C
Draw a diameter
Draw a chord A B A B D D C C

62. How can we make shapes look different?
Geometric Vocabulary
Congruent
Rotation
360 degrees
270 degrees
90 degrees
180 degrees
Translation
Reflection
Flip it over
Slide in a straight line
How can we make shapes look different?

63. 360 degrees = full rotation

65. 360 degrees = full rotation

66. Translation
“Trans” portation

67. Reflection

69. Line of Symmetry Rotational Symmetry
It can be folded in half so the two parts match exactly. The fold line is the line of symmetry.
Shapes can have more than one line of symmetry.
Rotational Symmetry
Rotate a shape less than full turn (360 degrees) and it looks the same.
How can symmetry help us create shapes?

71. Create A Geometry City Optional:
You have been given the task of developing a city. The only thing that you have to have in your city are the following:
Two streets that are parallel to each other
One highway that is perpendicular to the two parallel streets
One avenue that intersects at least two streets but is not perpendicular to them
One rectangular building
Two square buildings
One trapezoid building
One park with a circular swimming pool
One right triangular sandbox in the park
Two rectangular basketball courts in the park
One rhombus hospital building
One parallelogram school building
One obtuse triangle movie theater building
One equilateral triangle walking track
You MUST use a ruler and protractor to draw your lines with precision.
You must name your city. Place the name in an attractive way on your paper.
All parts of your city must be labeled with names (for example, name the park, streets, buildings, highway, etc.).
BONUS POINTS: Use names that have a geometric sound (for example, “Triangle Park”).
Optional:
You may create an additional building or object. Be sure to add the name of the shape(s) you drew beside the extra item.

72. Math Vocabulary Faces Edge Vertex (Vertices) Where is it located?
Where is it NOT located?
Where is it NOT located?
Where is it NOT located?

74. Math Vocabulary Faces Edge Vertex (Vertices) Where is it located?
A point where 3 or more edges of a solid figure meet.
Flat surfaces on solid figures.
The line segment where two faces of a solid figure meet.
Where is it NOT located?
Where is it NOT located?
Where is it NOT located?

75. Solid Figures Graphic Organizer
Number of Faces
Number of Edges
Number of Vertices
Cube
Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism
Cone
Cylinder

76. Solid Figures Graphic Organizer
Number of Faces
Number of Edges
Number of Vertices
Cube 6 12 8
Rectangular Prism
Square Pyramid 5
Triangular Pyramid 4
Triangular Prism 9
Cone 1
Cylinder 2

77. Cube
Count the faces ________
Count the edges _________
Count the vertices _________

78. Rectangular Prism
Count the faces ________
Count the edges _________
Count the vertices _________

79. Square Pyramid
Count the faces ________
Count the edges _________
Count the vertices _________

80. Cone
Count the faces ________
Count the edges _________
Count the vertices _________

81. Cylinder
Count the faces ________
Count the edges _________
Count the vertices _________

82. Triangular Pyramid
Count the faces ________
Count the edges _________
Count the vertices _________