The document provides steps for performing operations on line segments, including: 1) Copying a line segment onto a ray from a given origin point 2) Drawing the perpendicular bisector of a line segment and marking its midpoint 3) Dividing a line segment into a specified number of equal parts 4) Performing operations like addition, subtraction, and multiplication on given line segments according to instructions.

1. OPERATIONS WITH SEGMENTS

2. Exercise 1
Copy the line segment AB onto the ray from the given origin A´
___

3. We have the segment AB and the ray
where we have to copy it from A´

4. STEPS:
1.Center your compass
at point A and open
it until you reach the
other endpoint B

5. STEPS:
2.Take this length and
transport it to its
new position, from
the point A´

6. STEPS:
2.Take this length and
transport it to its
new position, from
the point A´

7. STEPS:
2.Take this length and
transport it to its
new position, from
the point A´

8. STEPS:
2.Take this length and
transport it to its
new position, from
the point A´

9. STEPS:
3.You obtain the
segment copied
from the point A´

10. Exercise 2
Draw the perpendicular bisector of the line segment AB
and mark its midpoint M
___

11. We have the
segment AB.

12. STEPS:
1.Center your compass
at point A, open it
further from the
middle of the
segment AB, and
draw an arc.

13. STEPS:
1.Center your compass
at point A, open it
further from the
middle of the
segment AB, and
draw an arc.

14. STEPS:
1.Center your compass
at point A, open it
further from the
middle of the
segment AB, and
draw an arc.

15. STEPS:
2.Do the same from
point B, where
these arcs cross
each other we get
points 1 and 2.

16. STEPS:
2.Do the same from
point B, where
these arcs cross
each other we get
points 1 and 2.

17. STEPS:
3.Join 1 and 2, and this
way we will get the
perpendicular bisector
of segment AB.

18. STEPS:
3.Join 1 and 2, and this
way we will get the
perpendicular bisector
of segment AB.

19. STEPS:
3.Join 1 and 2, and this
way we will get the
perpendicular bisector
of segment AB.

20. Exercise 3
Divide the line segment AB into 5 equal parts
___

21. We have the segment AB
that we want to divide.
We are going to divide it
into 5 parts.

22. STEPS:
1.From point A draw an
oblique ray (r). It doesn´t
matter the angle you take.
r

23. 1
r
STEPS:
2.Choose a measure
you want with
your compass and,
from point A, draw
arcs with this
measure on the
oblique ray. You
have to draw
as many arcs as
parts you want
to divide the
segment

24. 1
2
r
STEPS:
2.Choose a measure
you want with
your compass and,
from point A, draw
arcs with this
measure on the
oblique ray. You
have to draw
as many arcs as
parts you want
to divide the
segment

25. 1
2
3
r
STEPS:
2.Choose a measure
you want with
your compass and,
from point A, draw
arcs with this
measure on the
oblique ray. You
have to draw
as many arcs as
parts you want
to divide the
segment

26. 1
2
3
r
4
STEPS:
2.Choose a measure
you want with
your compass and,
from point A, draw
arcs with this
measure on the
oblique ray. You
have to draw
as many arcs as
parts you want
to divide the
segment

27. r
1
2
3
4
5
STEPS:
2.Choose a measure
you want with
your compass and,
from point A, draw
arcs with this
measure on the
oblique ray. You
have to draw
as many arcs as
parts you want
to divide the
segment

28. r
1
2
3
4
5
STEPS:
3.Join the last point of the
oblique ray, 5, with the
endpoint B.

29. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

30. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

31. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

32. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

33. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

34. r
1
2
3
4
5
STEPS:
4.Using your set square, draw
parallels to the segment 5B
(it determines the direction
to draw parallels) from
each division on the ray.

35. r
1
2
3
4
5
STEPS:
5.The result is the segment
AB divided into five parts.
In the exercise we have
divided the segment into
five parts, but you can
divide the segment into as
many parts as you need.

36. Exercise 4
Given the following line segments AB, CD and EF,
carry out the requested operations
___ ___ ___

37. CD + EF
___ ___

38. We have to add the segments CD and EF

39. STEPS:
1.Take the length of the
segment CD and transport it
on the ray

40. STEPS:
1.Take the length of the
segment CD and transport it
on the ray

41. STEPS:
1.Take the length of the
segment CD and transport it
on the ray

42. STEPS:
1.Take the length of the
segment CD and transport it
on the ray

43. STEPS:
1.Take the length of the
segment CD and transport it
on the ray

44. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment CD ends.

45. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment CD ends.

46. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment CD ends.

47. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment CD ends.

48. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment CD ends.

49. STEPS:
3.The result of the addition is
the segment CF

50. AB - EF
___ ___

51. We have to substract the segments AB
and EF

52. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

53. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

54. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

55. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

56. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

57. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts. The
beginning of both segments
must be the same

58. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts. The
beginning of both segments
must be the same

59. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts. The
beginning of both segments
must be the same

60. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts. The
beginning of both segments
must be the same

61. STEPS:
2.Now, take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts. The
beginning of both segments
must be the same

62. STEPS:
3.The result of the
substraction is the
segment FB

63. 3 x EF
___

64. We have to multiply the segment EF
three times, that is to say, we have to
add the segment EF three times

65. STEPS:
1.Take the length of the
segment EF and transport it
on the ray

66. STEPS:
1.Take the length of the
segment EF and transport it
on the ray

67. STEPS:
1.Take the length of the
segment EF and transport it
on the ray

68. STEPS:
2.Repeat the same operation
once again, starting where
the first segment ends

69. STEPS:
2.Repeat the same operation
once again, starting where
the first segment ends

70. STEPS:
2.Repeat the same operation
once again, starting where
the first segment ends

71. STEPS:
3.Repeat the same operation
again, starting where the
second segment ends

72. STEPS:
3.Repeat the same operation
again, starting where the
second segment ends

73. STEPS:
3.Repeat the same operation
again, starting where the
second segment ends

74. STEPS:
4.The result of the
multiplication is the
segment EF´´

75. (AB + CD) - EF
___ ___ ___

76. We have to do two operations. First, we
have to add the segments AB and CD.
Then, with the result of the addition, we
have to substract the segment EF

77. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

78. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

79. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

80. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

81. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB ends

82. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB ends

83. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB ends

84. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB ends

85. STEPS:
3.Take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts

86. STEPS:
3.Take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts

87. STEPS:
3.Take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts

88. STEPS:
3.Take the length of the
segment EF and transport it
on the ray, starting where
the segment AB starts

89. STEPS:
4.The result of the operation
is the segment FD

90. (AB - CD) + EF
___ ___ ___

91. We have to do two operations. First, we
have to substract the segments AB and CD.
Then, with the result of the substraction, we
have to add the segment EF

92. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

93. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

94. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

95. STEPS:
1.Take the length of the
segment AB and transport it
on the ray

96. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB starts

97. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB starts

98. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB starts

99. STEPS:
2.Take the length of the
segment CD and transport it
on the ray, starting where
the segment AB starts

100. STEPS:
3.As the result of this first
operation we have the
segment DB

101. STEPS:
4.TakethelengthofthesegmentEF
andtransportitontheray,starting
wherethesegmentDBends

102. STEPS:
4.TakethelengthofthesegmentEF
andtransportitontheray,starting
wherethesegmentDBends

103. STEPS:
4.TakethelengthofthesegmentEF
andtransportitontheray,starting
wherethesegmentDBends

104. STEPS:
4.TakethelengthofthesegmentEF
andtransportitontheray,starting
wherethesegmentDBends

105. STEPS:
4.The result of the operation is
the segment DF