148
3º ESO VISUAL ARTS EDUCATION REGULAR POLYGONS WITH A GIVEN SIDE

Regular polygons with a given side

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Regular polygons with a given side: Equilateral triangle. Square. Pentagon. Hexagon. Heptagon. Octagon. General method.

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Page 1: Regular polygons with a given side

3º ESO VISUAL ARTS EDUCATIONREGULAR POLYGONS WITH A GIVEN SIDE

Page 2: Regular polygons with a given side

Equilateral triangle

Page 3: Regular polygons with a given side

Equilateral triangle

Page 4: Regular polygons with a given side

0

Equilateral triangle

Page 5: Regular polygons with a given side

249

Equilateral triangle

Page 6: Regular polygons with a given side

0° 249

Equilateral triangle

Page 7: Regular polygons with a given side

249

Equilateral triangle

Page 8: Regular polygons with a given side

0°249

Equilateral triangle

Page 9: Regular polygons with a given side

Equilateral triangle

Page 10: Regular polygons with a given side

Equilateral triangle

Page 11: Regular polygons with a given side

Square

Page 12: Regular polygons with a given side

Square

Page 13: Regular polygons with a given side

0

Square

Page 14: Regular polygons with a given side

197

Square

Page 15: Regular polygons with a given side

0° 197

Square

Page 16: Regular polygons with a given side

1020

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90

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90°1

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90

5

10

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30

135°

1

1

2

2

3

3

4

4

5

5

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6

7

7

Square

Page 17: Regular polygons with a given side

1020

30

40

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6070

80100

110

120

130

140

150160

170

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AR

T G

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140150

160

170

130

120

110

100

50

60

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80

40

30

20

10

90

5

10

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25

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90°1

12

23

34

45

56

67

7

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100

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7080

4030

2010

90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Square

Page 18: Regular polygons with a given side

1020

30

4050

6070

80100

110

120

130

140

150160

170

SM

AR

T G

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™140

150160

170

130

120

110

100

50

60

70

80

40

30

20

10

905

10

15

20

25

30

90°

11

22

33

44

55

66

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7080

4030

2010

90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Square

Page 19: Regular polygons with a given side

1020

30

4050

6070

80100

110

120

130

140

150160

170

SM

AR

T G

eodr

eiec

kby

AR

ISTO

™140

150160

170

130

120

110

100

50

60

70

80

40

30

20

10

905

10

15

20

25

30

90°

11

22

33

44

55

66

77

1020

3040506070

80

100

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by ARIS

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7080

4030

2010

90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Square

Page 20: Regular polygons with a given side

1020

30

40

50

6070

80100110

120

130

140

150160

170

SMART Geodreieckby ARISTO™

140

150

160

170

130

120

110

100

50

60

70

80

40

30

20

10

90

5

10

15

20

25

30

180°

1 12 23 34 45 56 67 7

1020

3040506070

80

100

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170

SMART Geo

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by ARIS

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140 150 160 170130120110100

5060

7080

4030

2010

90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Square

Page 21: Regular polygons with a given side

1020

30

40

50

6070

80100110

120

130

140

150160

170

SMART Geodreieckby ARISTO™

140

150

160

170

130

120

110

100

50

60

70

80

40

30

20

10

90

5

10

15

20

25

30

180°

1 12 23 34 45 56 67 7

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3040506070

80

100

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170

SMART Geo

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by ARIS

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140 150 160 170130120110100

5060

7080

4030

2010

90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Square

Page 22: Regular polygons with a given side

Square

Page 23: Regular polygons with a given side

Pentagon

Page 24: Regular polygons with a given side

A B

Pentagon

Page 25: Regular polygons with a given side

A B

0

Pentagon

Page 26: Regular polygons with a given side

A B

0° 100

Pentagon

Page 27: Regular polygons with a given side

A B

0°100

Pentagon

Page 28: Regular polygons with a given side

A B

0°100

Pentagon

Page 29: Regular polygons with a given side

A B

Pentagon

Page 30: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

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15

0

1

2

3

4

5

90°

Pentagon

Page 31: Regular polygons with a given side

A B

0

1

2

3

4

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6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Pentagon

Page 32: Regular polygons with a given side

A B

Pentagon

Page 33: Regular polygons with a given side

A B

Pentagon

Page 34: Regular polygons with a given side

A B

0

Pentagon

Page 35: Regular polygons with a given side

A B

148

Pentagon

Page 36: Regular polygons with a given side

A B

0°148

Pentagon

Page 37: Regular polygons with a given side

A B

Pentagon

Page 38: Regular polygons with a given side

A B

Pentagon

Page 39: Regular polygons with a given side

A B

0

Pentagon

Page 40: Regular polygons with a given side

A B

0°172

Pentagon

Page 41: Regular polygons with a given side

A B

172

Pentagon

Page 42: Regular polygons with a given side

A B

Pentagon

Page 43: Regular polygons with a given side

A B

0

Pentagon

Page 44: Regular polygons with a given side

A B

244

Pentagon

Page 45: Regular polygons with a given side

A B

0° 244

Pentagon

Page 46: Regular polygons with a given side

A B

Pentagon

Page 47: Regular polygons with a given side

A B

Pentagon

Page 48: Regular polygons with a given side

A B

0

Pentagon

Page 49: Regular polygons with a given side

A B

148

Pentagon

Page 50: Regular polygons with a given side

A B

148

Pentagon

Page 51: Regular polygons with a given side

A B0°148

Pentagon

Page 52: Regular polygons with a given side

A B

0°148

Pentagon

Page 53: Regular polygons with a given side

A B

148

Pentagon

Page 54: Regular polygons with a given side

A B

148

Pentagon

Page 55: Regular polygons with a given side

A B

148

Pentagon

Page 56: Regular polygons with a given side

A B

0° 148

Pentagon

Page 57: Regular polygons with a given side

A B

0° 148

Pentagon

Page 58: Regular polygons with a given side

A B

Pentagon

Page 59: Regular polygons with a given side

A B

Pentagon

Page 60: Regular polygons with a given side

Hexagon

Page 61: Regular polygons with a given side

A B

Hexagon

Page 62: Regular polygons with a given side

A B

0

Hexagon

Page 63: Regular polygons with a given side

A B

152

Hexagon

Page 64: Regular polygons with a given side

A B0°152

Hexagon

Page 65: Regular polygons with a given side

A B

152

Hexagon

Page 66: Regular polygons with a given side

A B

152

Hexagon

Page 67: Regular polygons with a given side

A B

O

152

Hexagon

Page 68: Regular polygons with a given side

A B

O

152

Hexagon

Page 69: Regular polygons with a given side

A B

O

0°152

Hexagon

Page 70: Regular polygons with a given side

A B

O

0°152

Hexagon

Page 71: Regular polygons with a given side

A B

O

0°152

Hexagon

Page 72: Regular polygons with a given side

A B

O

Hexagon

Page 73: Regular polygons with a given side

A B

O

Hexagon

Page 74: Regular polygons with a given side

Heptagon

Page 75: Regular polygons with a given side

A B

Heptagon

Page 76: Regular polygons with a given side

A B

0

Heptagon

Page 77: Regular polygons with a given side

A B

0° 100

Heptagon

Page 78: Regular polygons with a given side

A B

0°100

Heptagon

Page 79: Regular polygons with a given side

A B

0°100

Heptagon

Page 80: Regular polygons with a given side

A B

Heptagon

Page 81: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Heptagon

Page 82: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Heptagon

Page 83: Regular polygons with a given side

A B

Heptagon

Page 84: Regular polygons with a given side

A B

Heptagon

Page 85: Regular polygons with a given side

A B

Heptagon

Page 86: Regular polygons with a given side

A B

30º

Heptagon

Page 87: Regular polygons with a given side

A B

Heptagon

Page 88: Regular polygons with a given side

A B

0

Heptagon

Page 89: Regular polygons with a given side

A B

176

Heptagon

Page 90: Regular polygons with a given side

A B

0°176

Heptagon

Page 91: Regular polygons with a given side

A B

O

Heptagon

Page 92: Regular polygons with a given side

A B

O

0

Heptagon

Page 93: Regular polygons with a given side

A B

O0°

179

Heptagon

Page 94: Regular polygons with a given side

A B

O

179

Heptagon

Page 95: Regular polygons with a given side

A B

O

Heptagon

Page 96: Regular polygons with a given side

A B

O0°

152

Heptagon

Page 97: Regular polygons with a given side

A B

O

0°152

Heptagon

Page 98: Regular polygons with a given side

A B

O

Heptagon

Page 99: Regular polygons with a given side

A B

O

Heptagon

Page 100: Regular polygons with a given side

Octagon

Page 101: Regular polygons with a given side

A B

Octagon

Page 102: Regular polygons with a given side

A B

0

Octagon

Page 103: Regular polygons with a given side

A B

0° 100

Octagon

Page 104: Regular polygons with a given side

A B

0°100

Octagon

Page 105: Regular polygons with a given side

A B

0°100

Octagon

Page 106: Regular polygons with a given side

A B

Octagon

Page 107: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Octagon

Page 108: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Octagon

Page 109: Regular polygons with a given side

A B

Octagon

Page 110: Regular polygons with a given side

A B

0° 148

Octagon

Page 111: Regular polygons with a given side

A B

Octagon

Page 112: Regular polygons with a given side

A B

P

Octagon

Page 113: Regular polygons with a given side

A B

P

0°104

Octagon

Page 114: Regular polygons with a given side

A B

P

0°104

Octagon

Page 115: Regular polygons with a given side

A B

P

O

Octagon

Page 116: Regular polygons with a given side

A B

P

O

0°197

Octagon

Page 117: Regular polygons with a given side

A B

P

O

197

Octagon

Page 118: Regular polygons with a given side

A B

P

O

Octagon

Page 119: Regular polygons with a given side

A B

P

O0°

156

Octagon

Page 120: Regular polygons with a given side

A B

P

O

Octagon

Page 121: Regular polygons with a given side

Nonagon (General method)

Page 122: Regular polygons with a given side

A B

Nonagon

Page 123: Regular polygons with a given side

A B

0

Nonagon

Page 124: Regular polygons with a given side

A B

0° 100

Nonagon

Page 125: Regular polygons with a given side

A B

0°100

Nonagon

Page 126: Regular polygons with a given side

A B

0°100

Nonagon

Page 127: Regular polygons with a given side

A B

Nonagon

Page 128: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Nonagon

Page 129: Regular polygons with a given side

A B

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Nonagon

Page 130: Regular polygons with a given side

A B

Nonagon

Page 131: Regular polygons with a given side

A B

0

Nonagon

Page 132: Regular polygons with a given side

A B

148

Nonagon

Page 133: Regular polygons with a given side

A B

0°148

Nonagon

Page 134: Regular polygons with a given side

A B

C

Nonagon

Page 135: Regular polygons with a given side

A B

C

0

Nonagon

Page 136: Regular polygons with a given side

A B

C0°152

Nonagon

Page 137: Regular polygons with a given side

A B

C

152

Nonagon

Page 138: Regular polygons with a given side

A B

C

Nonagon

Page 139: Regular polygons with a given side

A B

C

P

Nonagon

Page 140: Regular polygons with a given side

A B

C

P

0°19

Nonagon

Page 141: Regular polygons with a given side

A B

C

P

1110987

Nonagon

Page 142: Regular polygons with a given side

A B

C

P

1110987

0°223

Nonagon

Page 143: Regular polygons with a given side

A B

C

P

1110987

0°223

Nonagon

Page 144: Regular polygons with a given side

A B

C

P

1110987

Nonagon

Page 145: Regular polygons with a given side

A B

C

P

1110987

148

Nonagon

Page 146: Regular polygons with a given side

A B

C

P

1110987 0°

148

Nonagon

Page 147: Regular polygons with a given side

A B

C

P

1110987

Nonagon

Page 148: Regular polygons with a given side

A B

C

P

1110987

Nonagon