1. GEOMETRY
2. WORKING WITH LINE SEGMENTS

2. ◦ 1.-Drawing a line segment equals to
another given.
A
B
WORKING WITH LINE SEGMENTS

3. 
1
A
B
r
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4. ◦1
A
r
B
C
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5. ◦1
A
r
B
C
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6. 
1
A
r
C
B
D
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7. 
1
A
r
B
C
D
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8. 2.- ADDITION (AB PLUS CD EQUALS AD;
AB +CD= AD)

A
C
B
D
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9. 
2
A
C
B
D
A
r
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10. 
2
A
C
B
D
A
r
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11. 
2
A
C
A
B
D
B
r
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12. 
2
A
C
A
B
D
B
r
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13. 
2
A
C
A
B
D
B
r
C
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14. 
2
A
C
A
B
D
B
r
C
D
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15. 
3.- SUBTRACTION (AB MINUS CD EQUALS CD;
AB - CD= DB)
A
C
B
D
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16. 
3
A
C
B
D
A
r
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17. 
3
A
C
A
B
D
B
r
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18. 
3
A
C
A
B
D
B
r
C
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19. 
3
A
B
C
D
A
B
r
C
D
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20. 
4.- MULTIPLICATION (AB TIMES TWO EQUALS
AD; AB X 2 = AD
A
B
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21. 
4
A
A
B
B
r
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22. 
4
A
A
B
B
r
C
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23. 
4
A
A
B
B
r
C
D
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24. 
4
A
A
B
B
r
C
D
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25. 
5.- Dividing a segment into two equal
parts.
◦ This requires drawing a perpendicular
bisector. All its points equidistant from the
endpoints of the line segment.
A
B
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26. 
5
A
B
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27. 
5
A
B
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28. 
5
M
A
B
N
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29. 
5
You can watch the video to understand what
equidistant means.
http://www.mathopenref.com/constbisectline.html
M
A
B
N
WORKING WITH LINE SEGMENTS

30. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 4 parts.
A
B
WORKING WITH LINE SEGMENTS

31. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 3 equal
parts.
A
B
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32. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 3 parts.
 Drawing an auxiliary line forming any acute
angle with AB.
A
B
WORKING WITH LINE SEGMENTS

33. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 3 equal
parts.
 With a compass take any measure and
transfer it so many times as we want to
divide the segment line, in this case 3.
1
A
B
WORKING WITH LINE SEGMENTS

34. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 3 equal
parts.
2
1
A
B
WORKING WITH LINE SEGMENTS

35. 
6.- Division: Thales’ Theorem
◦ Dividing a segment into (for example) 3 parts.
3’
2’
1’
A
B
WORKING WITH LINE SEGMENTS

36. 
6.- Division: Thales’ Theorem
 Join 3’ with B to get 3.
3’
2’
1’
3
A
B
WORKING WITH LINE SEGMENTS

37. 
6.- Division: Thales’ Theorem
 Trace a parallel line (with the set squares) to
this line from 2’ to get 2.
3’
2’
1’
2
A
3
B
WORKING WITH LINE SEGMENTS

38. 
6.- Division: Thales’ Theorem
 Trace another parallel line (with the set
squares) to the first line from 1’ to get 1.
3’
2’
1’
1
A
2
3
B
WORKING WITH LINE SEGMENTS

39. 
6.- Division: Thales’ Theorem
 You can visit this link to learn more
http://www.educacionplastica.net/zirkel/thales
_sol.html
WORKING WITH LINE SEGMENTS