1. Geometrical Constructions
Perpendicular Bisector
Hexagon
Parallel Line 1
Equilateral Triangle
Parallel Line 2
Construct 90°
Median
Construct 45°
Altitude
Construct 30°
View All
Exit

2. Construct Angle of 60°
Draw line

3. Construct Angle of 60°
Scribe an arc

4. Construct Angle of 60°
Scribe a second arc at same radius as first.

5. Construct Angle of 60°
Draw line connecting points as shown.
60° angle constructed!

6. Construct a Regular Hexagon
Scribe circumscribing circle

7. Construct a Regular Hexagon
Draw line from center.

8. Construct a Regular Hexagon
Scribe arc at same radius as circle.

9. Construct a Regular Hexagon
Scribe a second arc at same radius as circle.

10. Construct a Regular Hexagon
Scribe a third arc at same radius as circle.

11. Construct a Regular Hexagon
Scribe a forth arc at same radius as circle.

12. Construct a Regular Hexagon
Scribe a fifth arc at same radius as circle.

13. Construct a Regular Hexagon
Draw lines connecting points as shown.

14. Construct a Regular Hexagon
Draw lines connecting points as shown.

15. Construct a Regular Hexagon
Draw lines connecting points as shown.

16. Construct a Regular Hexagon
Draw lines connecting points as shown.

17. Construct a Regular Hexagon
Draw lines connecting points as shown.

18. Construct a Regular Hexagon
Draw lines connecting points as shown.
Hexagon Completed !

19. Construct an Equilateral Triangle
Scribe circumscribing circle

20. Construct an Equilateral Triangle
Scribe line from center.

21. Construct an Equilateral Triangle
Scribe arc as shown

22. Construct an Equilateral Triangle
Scribe arc as shown

23. Construct an Equilateral Triangle
Scribe arc as shown

24. Construct an Equilateral Triangle
Scribe arc as shown

25. Construct an Equilateral Triangle
Join points as shown

26. Construct an Equilateral Triangle
Join points as shown

27. Construct an Equilateral Triangle
Join points as shown
Triangle Complete!

28. Bisect Angle to Give 90°
Draw Line

29. Bisect Angle to Give 90°
Scribe arc.

30. Bisect Angle to Give 90°
Scribe a second arc at the same radius as the first.

31. Bisect Angle to Give 90°
Scribe a third arc at the same radius as the first.

32. Bisect Angle to Give 90°
Scribe an arc at any radius.

33. Bisect Angle to Give 90°
Scribe a second arc at the same radius as previous.

34. Bisect Angle to Give 90°
Draw a line linking points.
90° Constructed!

35. Bisect 90° to Give 45°
First construct 90° angle.
Scribe arc as shown.

36. Bisect 90° to Give 45°
Scribe a second arc at the same radius as the first.

37. Bisect 90° to Give 45°
Draw line linking points
45° angle constructed!

38. Bisect 60° to Give 30°
First construct an angle of 60°
Scribe an arc as shown.

39. Bisect 60° to Give 30°
First construct 60° angle
Scribe an second arc at the same radius as previous.

40. Bisect 60° to Give 30°
Draw a line linking points as shown.

41. Construct a Perpendicular Bisector
Scribe an arc from the endpoint of the line as shown.

42. Construct a Perpendicular Bisector
Scribe a second arc of the same radius from the endpoint of the line as shown.

43. Construct a Perpendicular Bisector
Scribe a third arc of the same radius from the endpoint of the line as shown.

44. Construct a Perpendicular Bisector
Scribe a forth arc of the same radius from the endpoint of the line as shown.

45. Construct a Perpendicular Bisector
Draw a line as shown.
Our original line has been divided in half by a perpendicular line!

46. Construct a Parallel Line
(Quick and Nasty)
Scribe an arc of radius equal to the desired offset distance, from a point on the line.

47. Construct a Parallel Line
(Quick and Nasty)
Scribe an arc of radius equal to the desired offset distance, from a second point on the line.

48. Construct a Parallel Line
(Quick and Nasty)
Draw a line tangential to the two arcs drawn.
We have constructed a parallel line at a desired distance!

49. Construct a Parallel Line
(More Correct)
Construct 2 right angles to a line as shown.
Scribe an arc of radius equal to the offset distance so that it intersects the perpendicular line.

50. Construct a Parallel Line
(More Correct)
Scribe a second arc of radius equal to the offset distance so that it intersects the second perpendicular line.

51. Construct a Parallel Line
(More Correct)
Draw a line connecting the two points.
We have constructed a parallel line at a desired distance!

52. Construct a Median
Bisect the desired side of the triangle.

53. Construct a Median
Draw a line from the midpoint to the opposite vertex.
Median Constructed!

54. Construct an Altitude
Scribe arcs as shown at the same radius.

55. Construct an Altitude
Construct a perpendicular line through vertex as shown.
Set Compass to distance as shown.

56. Construct an Altitude
Scribe an arc as shown at the previously set distance.

57. Construct an Altitude
Draw a line from the vertex, through the point, till it meets the opposite side.
Altitude Constructed!