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Origami triangles

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Alberto Pardo Milanés
Alberto Pardo Milanés

This document describes how to create three different origami triangles by folding a square sheet of paper. It provides step-by-step instructions to make an isosceles triangle, a right triangle, and an equilateral triangle. Each section labels the steps, names important points on the paper, and provides properties of the finished triangle such as side lengths and areas.

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Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Origami Triangles Matem´ticas 1o E.S.O. a Alberto Pardo Milan´s e -
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 1 Vocabulary 2 Triangle 1 3 Triangle 2 4 Triangle 3 Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Vocabulary Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Vocabulary Vocabulary: Side: lado Crease: doblez, doblar Fold: doblez, doblar Perpendicular bisector of a segment: mediatriz, linea que divide un segmento por la mitad Open out: desdoblar Unfold: desdoblar Bisector of an angle: bisectriz, linea que divide un ´ngulo por la a mitad Turn over: dar la vuelta Reach: llevar, hacer que coincida Fold over: Doblar por encima Create these triangles and write the names of the points we use. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 3.- Open out. O is the middle point of the side AB. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 4.- Make a crease from O to C. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 5.- Fold the bisector of angle COA. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 6.- Make a crease from O to D. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 7.- Fold the bisector of angle DOB. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 8.- Turn over and paint the triangle. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 9.- This an triangle. 10.- The base is 10 cm long and the triangle is 10 cm high. The area of the triangle is cm2 . Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 3.- Unfold. E is the middle point of the side AB. F is the middle point of the side CD. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 4.- Reach D to segment EF by vertex C. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 5.- Fold over segment AC. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 6.- Fold back by A creating a right angle. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 7.- Turn over. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 8.- Fold on the back the paper not needed. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 9.- Paint the triangle. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 10.- This a triangle. 11.- The hypotenuse is 10 cm long. The smaller leg is 5 cm long. Use Pytagorean Theorem to find the length of the other leg. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 3.- Unfold. E is the middle point of the side AB. F is the middle point of the side CD. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 4.- Reach D to segment EF by vertex C. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 5.- Fold over segment AC. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 6.- Unfold every crease. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 7.- Reach C to segment EF by vertex D. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 6.- Fold over segment BD. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 7.- Unfold every crease and mark point G on EF (on both sides) as seen in the picture. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 8.- Crease by DG. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 9.- Crease by CG. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 10.- Fold on the back the paper not needed. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 11.- Turn over and paint the triangle. Alberto Pardo Milan´s e Origami Triangles
Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 12.- This an triangle. 13.- Every side is 10 cm long. Half a side is 5 cm long. Use Pytagorean Theorem to find the height of the triangle. Alberto Pardo Milan´s e Origami Triangles

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Origami triangles

  • 1. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Origami Triangles Matem´ticas 1o E.S.O. a Alberto Pardo Milan´s e -
  • 2. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 1 Vocabulary 2 Triangle 1 3 Triangle 2 4 Triangle 3 Alberto Pardo Milan´s e Origami Triangles
  • 3. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Vocabulary Alberto Pardo Milan´s e Origami Triangles
  • 4. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Vocabulary Vocabulary: Side: lado Crease: doblez, doblar Fold: doblez, doblar Perpendicular bisector of a segment: mediatriz, linea que divide un segmento por la mitad Open out: desdoblar Unfold: desdoblar Bisector of an angle: bisectriz, linea que divide un ´ngulo por la a mitad Turn over: dar la vuelta Reach: llevar, hacer que coincida Fold over: Doblar por encima Create these triangles and write the names of the points we use. Alberto Pardo Milan´s e Origami Triangles
  • 5. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 Alberto Pardo Milan´s e Origami Triangles
  • 6. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
  • 7. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
  • 8. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
  • 9. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 3.- Open out. O is the middle point of the side AB. Alberto Pardo Milan´s e Origami Triangles
  • 10. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 4.- Make a crease from O to C. Alberto Pardo Milan´s e Origami Triangles
  • 11. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 5.- Fold the bisector of angle COA. Alberto Pardo Milan´s e Origami Triangles
  • 12. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 6.- Make a crease from O to D. Alberto Pardo Milan´s e Origami Triangles
  • 13. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 7.- Fold the bisector of angle DOB. Alberto Pardo Milan´s e Origami Triangles
  • 14. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 8.- Turn over and paint the triangle. Alberto Pardo Milan´s e Origami Triangles
  • 15. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 1 9.- This an triangle. 10.- The base is 10 cm long and the triangle is 10 cm high. The area of the triangle is cm2 . Alberto Pardo Milan´s e Origami Triangles
  • 16. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 Alberto Pardo Milan´s e Origami Triangles
  • 17. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
  • 18. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
  • 19. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 3.- Unfold. E is the middle point of the side AB. F is the middle point of the side CD. Alberto Pardo Milan´s e Origami Triangles
  • 20. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 4.- Reach D to segment EF by vertex C. Alberto Pardo Milan´s e Origami Triangles
  • 21. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 5.- Fold over segment AC. Alberto Pardo Milan´s e Origami Triangles
  • 22. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 6.- Fold back by A creating a right angle. Alberto Pardo Milan´s e Origami Triangles
  • 23. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 7.- Turn over. Alberto Pardo Milan´s e Origami Triangles
  • 24. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 8.- Fold on the back the paper not needed. Alberto Pardo Milan´s e Origami Triangles
  • 25. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 9.- Paint the triangle. Alberto Pardo Milan´s e Origami Triangles
  • 26. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 2 10.- This a triangle. 11.- The hypotenuse is 10 cm long. The smaller leg is 5 cm long. Use Pytagorean Theorem to find the length of the other leg. Alberto Pardo Milan´s e Origami Triangles
  • 27. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 Alberto Pardo Milan´s e Origami Triangles
  • 28. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 1.- Start with a square of paper, the vertices are A, B, C y D. Write the names on both sides. Alberto Pardo Milan´s e Origami Triangles
  • 29. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 2.- First make a crease that divide the square in two by the perpendicular bisector of AB. Alberto Pardo Milan´s e Origami Triangles
  • 30. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 3.- Unfold. E is the middle point of the side AB. F is the middle point of the side CD. Alberto Pardo Milan´s e Origami Triangles
  • 31. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 4.- Reach D to segment EF by vertex C. Alberto Pardo Milan´s e Origami Triangles
  • 32. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 5.- Fold over segment AC. Alberto Pardo Milan´s e Origami Triangles
  • 33. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 6.- Unfold every crease. Alberto Pardo Milan´s e Origami Triangles
  • 34. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 7.- Reach C to segment EF by vertex D. Alberto Pardo Milan´s e Origami Triangles
  • 35. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 6.- Fold over segment BD. Alberto Pardo Milan´s e Origami Triangles
  • 36. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 7.- Unfold every crease and mark point G on EF (on both sides) as seen in the picture. Alberto Pardo Milan´s e Origami Triangles
  • 37. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 8.- Crease by DG. Alberto Pardo Milan´s e Origami Triangles
  • 38. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 9.- Crease by CG. Alberto Pardo Milan´s e Origami Triangles
  • 39. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 10.- Fold on the back the paper not needed. Alberto Pardo Milan´s e Origami Triangles
  • 40. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 11.- Turn over and paint the triangle. Alberto Pardo Milan´s e Origami Triangles
  • 41. Indice Vocabulary Triangle 1 Triangle 2 Triangle 3 Triangle 3 12.- This an triangle. 13.- Every side is 10 cm long. Half a side is 5 cm long. Use Pytagorean Theorem to find the height of the triangle. Alberto Pardo Milan´s e Origami Triangles