Perpendicular bisector of a segment

1. PERPENDICULAR BISECTOR

2. Exercise 1
Draw the perpendicular bisector of the line segment AB
___

3. We have the
segment AB.

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

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

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

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

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

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

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

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

12. Exercise 2
Draw the perpendicular bisector of the line segment AB
___

13. We have the segment AB
that is the diameter of a
circumference

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

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

17. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

18. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

19. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

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

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

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

23. Exercise 3
Draw the perpendicular bisector of the line segment AB
___

24. We have the segment AB
that is the diameter of a
rhombus

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

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

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

28. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

29. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

30. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

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

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

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

34. Exercise 4
Draw the perpendicular bisector
of the line segments AB and AC
___ ___

35. We have the segments AB and AC

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

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

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

39. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

40. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

41. STEPS:
2.Do the same from point B,
where these arcs intersect
we get points 1 and 2.

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

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

44. STEPS:
4.Now we have to draw the perpendicular
bisector of the segment AC. To do so,
center your compass at point A, open it
further from the middle of the segment
AC, and draw an arc. We have taken the
same length we had before

45. STEPS:
4.Now we have to draw the perpendicular
bisector of the segment AC. To do so,
center your compass at point A, open it
further from the middle of the segment
AC, and draw an arc. We have taken the
same length we had before

46. STEPS:
5.Do the same (keeping the same
length in the compass) from point
C, where these arcs intersect we
get points 3 and 4.

47. STEPS:
5.Do the same (keeping the same
length in the compass) from point
C, where these arcs intersect we
get points 3 and 4.

48. STEPS:
5.Do the same (keeping the same
length in the compass) from point
C, where these arcs intersect we
get points 3 and 4.

49. STEPS:
5.Do the same (keeping the same
length in the compass) from point
C, where these arcs intersect we
get points 3 and 4.

50. STEPS:
6.Join the points 3 and 4 and you
get the perpendicular bisector of
the segment AC

51. STEPS:
6.Join the points 3 and 4 and you
get the perpendicular bisector of
the segment AC

52. STEPS:
7.Where the two perpendicular
bisectors intersect, you find the
centre of a circumference that passes
through the three points A, B and C

53. STEPS:
7.Where the two perpendicular
bisectors intersect, you find the
centre of a circumference that passes
through the three points A, B and C

54. STEPS:
7.Where the two perpendicular
bisectors intersect, you find the
centre of a circumference that passes
through the three points A, B and C