Origami triangles: equilateral, isosceles, right

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Origami Triangles
Matem´ticas 1o E.S.O.
a
Alberto Pardo Milan´s
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1 Vocabulary
2 Triangle 1
3 Triangle 2
4 Triangle 3
Alberto Pardo Milan´s
e Origami Triangles

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Vocabulary
Alberto Pardo Milan´s
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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

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Triangle 1
Alberto Pardo Milan´s
e Origami Triangles

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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

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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

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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

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Triangle 1
3.- Open out. O is the middle point of the side AB.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 1
4.- Make a crease from O to C.
Alberto Pardo Milan´s
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Triangle 1
5.- Fold the bisector of angle COA.
Alberto Pardo Milan´s
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Triangle 1
6.- Make a crease from O to D.
Alberto Pardo Milan´s
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Triangle 1
7.- Fold the bisector of angle DOB.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 1
8.- Turn over and paint the triangle.
Alberto Pardo Milan´s
e Origami Triangles

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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

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Triangle 2
Alberto Pardo Milan´s
e Origami Triangles

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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

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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

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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

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Triangle 2
4.- Reach D to segment EF by vertex C.
Alberto Pardo Milan´s
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Triangle 2
5.- Fold over segment AC.
Alberto Pardo Milan´s
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Triangle 2
6.- Fold back by A creating a right angle.
Alberto Pardo Milan´s
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Triangle 2
7.- Turn over.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 2
8.- Fold on the back the paper not needed.
Alberto Pardo Milan´s
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Triangle 2
9.- Paint the triangle.
Alberto Pardo Milan´s
e Origami Triangles

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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

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Triangle 3
Alberto Pardo Milan´s
e Origami Triangles

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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

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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

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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

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Triangle 3
4.- Reach D to segment EF by vertex C.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 3
5.- Fold over segment AC.
Alberto Pardo Milan´s
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Triangle 3
6.- Unfold every crease.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 3
7.- Reach C to segment EF by vertex D.
Alberto Pardo Milan´s
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Triangle 3
6.- Fold over segment BD.
Alberto Pardo Milan´s
e Origami Triangles

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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

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Triangle 3
8.- Crease by DG.
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e Origami Triangles

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Triangle 3
9.- Crease by CG.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 3
10.- Fold on the back the paper not needed.
Alberto Pardo Milan´s
e Origami Triangles

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Triangle 3
11.- Turn over and paint the triangle.
Alberto Pardo Milan´s
e Origami Triangles

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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