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Dihedral exercise collection

A complete pass through dihedral geometry, from reading projections to solving an exam exercise. It includes the handmade exercises and the missing types, without repeating the same exercise with two different numbers.

  1. The point: quadrant and projections — Foundations
  2. Does the point belong to the line? — Foundations
  3. Traces of a line — Foundations
  4. Line positions and traces — Foundations
  5. Line parallel to another through a point — Foundations
  6. The plane: traces and classification — Foundations
  7. Plane through three points — Foundations
  8. Plane containing a line and a point — Foundations
  9. Intersection of two lines — Intersections
  10. Intersection of a line and a plane — Intersections
  11. Intersection of two planes — Intersections
  12. Intersection of three planes — Intersections
  13. Line parallel to a plane through a point — Parallelism and perpendicularity
  14. Plane parallel to a line — Parallelism and perpendicularity
  15. Plane parallel to another through a point — Parallelism and perpendicularity
  16. Line perpendicular to a plane — Parallelism and perpendicularity
  17. Plane perpendicular to a line — Parallelism and perpendicularity
  18. Plane perpendicular to another — Parallelism and perpendicularity
  19. Line perpendicular to another through a point — Parallelism and perpendicularity
  20. Distance between two points — Distances
  21. Distance from a point to a line — Distances
  22. Distance from a point to a plane — Distances
  23. Distance between a parallel line and plane — Distances
  24. Distance between two parallel planes — Distances
  25. Distance between skew lines — Distances
  26. Angle between two lines — Angles
  27. Angle between a line and a plane — Angles
  28. Angle between two planes — Angles
  29. Angles of a line with the projection planes — Angles
  30. Rotation onto the horizontal plane — Rotations and true lengths
  31. True length of a segment — Rotations and true lengths
  32. True length by change of plane — Rotations and true lengths
  33. Rotation of a point around a vertical axis — Spins
  34. Spin of a line — Spins
  35. Line of steepest slope — Steepest slope and inclination
  36. Line of maximum inclination — Steepest slope and inclination
  37. Plane section of a solid — Sections
  38. Section of the sphere — Sections
  39. Line crossing a solid — Solid intersections
  40. Intersection of two solids — Solid intersections
  41. Net of a solid — Nets
  42. Net of the truncated body — Nets
  43. Cube in a characteristic position — Characteristic positions
  44. Regular polyhedron resting on a face — Characteristic positions
  45. Tetrahedron from its vertices — Polyhedra
  46. Oblique cylinder and cone — Oblique revolution
  47. Tangent plane to a surface — Tangency
  48. Tangent planes parallel to a given plane — Tangency
  49. Tangent planes containing a line — Tangency
  50. Shadows on the projection planes — Shadows
  51. Shadow of a solid on the PH — Shadows
  52. Cast shadow on an inclined plane — Shadows
  53. Cast shadow on another solid — Shadows
  54. PAU Madrid 2024-25 · Distance between parallel lines — Exam exercises
  55. PAU Madrid 2025 · Angle between two lines — Exam exercises
  56. PAU Madrid 2024-25 · Net of the frustum — Exam exercises
  57. Combined exam exercise — Exam exercises
  58. Exam: section, penetration, distance and angle — Exam exercises
  59. Exam: spins, distance and angle — Exam exercises
  60. Exam: shadows and light angle — Exam exercises

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