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Constructions with a ruler and a protractor

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Presentation on theme: "Constructions with a ruler and a protractor"— Presentation transcript:

1 Constructions with a ruler and a protractor
© T Madas

2 drawing a given acute angle
Drawing a given angle drawing a given acute angle © T Madas

3 Drawing a given angle “Draw an angle of 40 °, with sides of 12 cm and 8 cm” 12 cm Start from zero © T Madas

4 Drawing a given angle “Draw an angle of 40 °, with sides of 12 cm and 8 cm” 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 12 cm Line up the dot & line © T Madas

5 Drawing a given angle “Draw an angle of 40 °, with sides of 12 cm and 8 cm” 8 cm 40° 12 cm Start from zero © T Madas

6 drawing a given obtuse angle
Drawing a given angle drawing a given obtuse angle © T Madas

7 Drawing a given angle “Draw an angle of 120 °, with sides of 8 cm and 7 cm” 8 cm Start from zero © T Madas

8 Drawing a given angle “Draw an angle of 120 °, with sides of 8 cm and 7 cm” 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 8 cm Line up the dot & line © T Madas

9 Drawing a given angle “Draw an angle of 120 °, with sides of 8 cm and 7 cm” 7 cm 120° 8 cm Start from zero © T Madas

10 Drawing a given reflex angle drawing a given reflex angle
method 1 drawing a given reflex angle © T Madas

11 Drawing a given reflex angle
“Draw an angle of 320 °, with sides of 8 cm and 6 cm” in order to draw a reflex angle we can draw the angle missing to complete a full turn i.e. 360° So we draw a … … 40 ° angle … … then mark … … the outside of this angle 320° 40° © T Madas

12 Drawing a given reflex angle
“Draw an angle of 320 °, with sides of 8 cm and 6 cm” 8 cm Start from zero © T Madas

13 Drawing a given angle “Draw an angle of 320 °, with sides of 8 cm and 6 cm” 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 8 cm Line up the dot & line © T Madas

14 Drawing a given angle “Draw an angle of 320 °, with sides of 8 cm and 6 cm” 6 cm 40° 8 cm 320° Start from zero © T Madas

15 Drawing a given reflex angle drawing a given reflex angle
method 2 drawing a given reflex angle © T Madas

16 Drawing a given reflex angle
“Draw an angle of 230 °, with sides of 7 cm and 5 cm” in order to draw a reflex angle we can draw a straight line first i.e. 180° Then draw a… … 50° angle … … then mark … … both angles 230° 180° 50° © T Madas

17 Drawing a given reflex angle
“Draw an angle of 230 °, with sides of 7 cm and 5 cm” 7 cm Start from zero © T Madas

18 Drawing a given reflex angle
“Draw an angle of 230 °, with sides of 7 cm and 5 cm” 7 cm © T Madas

19 Drawing a given reflex angle
“Draw an angle of 230 °, with sides of 7 cm and 5 cm” Line up the dot & line 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 7 cm © T Madas

20 Drawing a given reflex angle
“Draw an angle of 230 °, with sides of 7 cm and 5 cm” Start from zero 230° 7 cm 50° 5 cm © T Madas

21 Drawing a Triangle (SAS)
drawing a triangle given: 2 of its sides and the contained angle of these sides © T Madas

22 Drawing a Triangle (SAS)
Draw a triangle with sides of 7 cm and 5.5 cm and the contained angle of 50° 7 cm Start from zero © T Madas

23 Drawing a Triangle (SAS)
Draw a triangle with sides of 7 cm and 5.5 cm and the contained angle of 50° 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 7 cm Line up the dot & line © T Madas

24 Drawing a Triangle (SAS)
Draw a triangle with sides of 7 cm and 5.5 cm and the contained angle of 50° 5.5 cm 50° 7 cm Start from zero © T Madas

25 Drawing a Triangle (SAS)
Draw a triangle with sides of 7 cm and 5.5 cm and the contained angle of 50° 5.5 cm 50° 7 cm © T Madas

26 Drawing a Triangle (ASA)
drawing a triangle given: 1 of its sides and the 2 adjacent angles to that side © T Madas

27 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 10 cm Start from zero © T Madas

28 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 10 cm Line up the dot & line © T Madas

29 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 10 cm Line up the line & dot © T Madas

30 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 10 cm © T Madas

31 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 10 cm © T Madas

32 Drawing a Triangle (ASA)
Draw a triangle with a side of 10 cm and adjacent angles of 40° and 70° 70° 40° 10 cm © T Madas

33 Drawing a Hexagon using a protractor
Regular Hexagon © T Madas

34 Drawing a Hexagon using a protractor
A hexagon has 6 sides We are going to construct 6 equal angles around a point How many degrees are there around a point? How many degrees each of these angles must be? © T Madas

35 Drawing a Hexagon using a protractor
Start by drawing a circle. The hexagon will be inscribed in the circle. The bigger the circle the bigger the hexagon Mark a horizontal line from the centre © T Madas

36 Drawing a Hexagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 Line up the dot & line © T Madas

37 Drawing a Hexagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 © T Madas

38 Drawing a Hexagon using a protractor
© T Madas

39 Drawing a Hexagon using a protractor
Drawing a Hexagon using a protractor © T Madas

40 Drawing a Hexagon using a protractor
Drawing a Hexagon using a protractor © T Madas

41 Drawing a Hexagon using a protractor
© T Madas

42 Drawing a Hexagon using a protractor
© T Madas

43 Drawing a Hexagon using a protractor
© T Madas

44 Drawing a Hexagon using a protractor
© T Madas

45 Drawing a Hexagon using a protractor
8 cm 8 cm 60° 8 cm 8 cm 8 cm 8 cm © T Madas

46 Drawing an Octagon using a protractor
Regular Octagon © T Madas

47 Drawing an Octagon using a protractor
An Octagon has 8 sides We are going to construct 8 equal angles around a point How many degrees are there around a point? How many degrees each of these angles must be? © T Madas

48 Drawing an Octagon using a protractor
Start by drawing a circle. The octagon will be inscribed in the circle. The bigger the circle the bigger the octagon Mark a horizontal line from the centre © T Madas

49 Drawing an Octagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 Line up the dot & line © T Madas

50 Drawing an Octagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 © T Madas

51 Drawing an Octagon using a protractor
© T Madas

52 Drawing an Octagon using a protractor
© T Madas

53 Drawing an Octagon using a protractor
Drawing an Octagon using a protractor © T Madas

54 Drawing an Octagon using a protractor
Drawing an Octagon using a protractor © T Madas

55 Drawing an Octagon using a protractor
© T Madas

56 Drawing an Octagon using a protractor
© T Madas

57 Drawing an Octagon using a protractor
© T Madas

58 Drawing an Octagon using a protractor
© T Madas

59 Drawing an Octagon using a protractor
© T Madas

60 Drawing an Octagon using a protractor
6 cm 6 cm 6 cm 45° 6 cm 6 cm 6 cm 6 cm 6 cm © T Madas

61 Drawing a Pentagon using a protractor
Regular Pentagon © T Madas

62 Drawing a Pentagon using a protractor
A pentagon has 5 sides We are going to construct 5 equal angles around a point How many degrees are there around a point? How many degrees each of these angles must be? © T Madas

63 Drawing a Pentagon using a protractor
Start by drawing a circle. The pentagon will be inscribed in the circle. The bigger the circle the bigger the pentagon Mark a horizontal line from the centre © T Madas

64 Drawing a Pentagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 Line up the dot & line © T Madas

65 Drawing a Pentagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 © T Madas

66 Drawing a Pentagon using a protractor
© T Madas

67 Drawing a Pentagon using a protractor
Drawing a Pentagon using a protractor © T Madas

68 Drawing a Pentagon using a protractor
© T Madas

69 Drawing a Pentagon using a protractor
© T Madas

70 Drawing a Pentagon using a protractor
© T Madas

71 Drawing a Pentagon using a protractor
© T Madas

72 Drawing a Pentagon using a protractor
8 cm 8 cm 72° 8 cm 8 cm 8 cm © T Madas

73 Drawing an Enneagon using a protractor
Regular Enneagon © T Madas

74 Drawing an Enneagon using a protractor
An Enneagon has 9 sides [It is also called a nonagon but enneagon is its proper name] We are going to construct 9 equal angles around a point How many degrees are there around a point? How many degrees each of these angles must be? © T Madas

75 Drawing an Enneagon using a protractor
Start by drawing a circle. The enneagon will be inscribed in the circle. The bigger the circle the bigger the enneagon Mark a horizontal line from the centre © T Madas

76 Drawing an Enneagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 Line up the dot & line © T Madas

77 Drawing an Enneagon using a protractor
180 10 20 170 160 30 150 40 140 50 130 60 120 70 110 80 100 90 © T Madas

78 Drawing an Enneagon using a protractor
© T Madas

79 Drawing an Enneagon using a protractor
© T Madas

80 Drawing an Enneagon using a protractor
Drawing an Enneagon using a protractor © T Madas

81 Drawing an Enneagon using a protractor
Drawing an Enneagon using a protractor © T Madas

82 Drawing an Enneagon using a protractor
© T Madas

83 Drawing an Enneagon using a protractor
© T Madas

84 Drawing an Enneagon using a protractor
© T Madas

85 Drawing an Enneagon using a protractor
© T Madas

86 Drawing an Enneagon using a protractor
© T Madas

87 Drawing an Enneagon using a protractor
© T Madas

88 Drawing an Enneagon using a protractor
7 cm 7 cm 7 cm 40° 7 cm 7 cm 7 cm 7 cm 7 cm 7 cm © T Madas

89 © T Madas


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