L’espace - 5e

Prismes et cylindres : perspectives et patrons

Exercice 1 : Reconnaître le patron d'un pavé droit

Soit le pavé suivant :

Parmi les figures suivantes, trouver celle ou celles étant un patron de ce pavé.

A.

{"init": {"range": [[-1.25, 20.0], [-1.0, 27.25]], "scale": [20, 20]}, "line": [[[4.0, 4.0], [4.0, 13.0], {"subtype": "segment"}], [[4.0, 13.0], [10.0, 13.0], {"subtype": "segment"}], [[4.0, 4.0], [10.0, 4.0], {"subtype": "segment"}], [[10.0, 17.0], [19.0, 17.0], {"subtype": "segment"}], [[0.0, 26.0], [4.0, 26.0], {"subtype": "segment"}], [[4.0, 17.0], [10.0, 17.0], {"subtype": "segment"}], [[4.0, 0.0], [10.0, 0.0], {"subtype": "segment"}], [[4.0, 26.0], [10.0, 26.0], {"subtype": "segment"}], [[4.0, 0.0], [4.0, 4.0], {"subtype": "segment"}], [[19.0, 13.0], [19.0, 17.0], {"subtype": "segment"}], [[4.0, 17.0], [4.0, 26.0], {"subtype": "segment"}], [[10.0, 13.0], [10.0, 17.0], {"subtype": "segment"}], [[10.0, 17.0], [10.0, 26.0], {"subtype": "segment"}], [[10.0, 13.0], [19.0, 13.0], {"subtype": "segment"}], [[0.0, 17.0], [4.0, 17.0], {"subtype": "segment"}], [[4.0, 13.0], [4.0, 17.0], {"subtype": "segment"}], [[10.0, 4.0], [10.0, 13.0], {"subtype": "segment"}], [[0.0, 17.0], [0.0, 26.0], {"subtype": "segment"}], [[10.0, 0.0], [10.0, 4.0], {"subtype": "segment"}]], "label": [[[7.0, 26.0], "6 m", "above", {}], [[4.0, 15.0], "4 m", "left", {}], [[14.5, 17.0], "9 m", "above", {}], [[0.0, 21.5], "9 m", "left", {}], [[4.0, 2.0], "4 m", "left", {}], [[4.0, 8.5], "9 m", "left", {}], [[2.0, 26.0], "4 m", "above", {}]]}
B.

{"init": {"range": [[-1.25, 31.0], [-1.0, 17.25]], "scale": [20, 20]}, "label": [[[15.0, 3.0], "6 m", "left", {}], [[0.0, 8.0], "4 m", "left", {}], [[19.5, 16.0], "9 m", "above", {}], [[15.0, 13.0], "6 m", "left", {}], [[12.0, 10.0], "6 m", "above", {}], [[27.0, 10.0], "6 m", "above", {}], [[4.5, 10.0], "9 m", "above", {}]], "line": [[[0.0, 6.0], [9.0, 6.0], {"subtype": "segment"}], [[9.0, 6.0], [9.0, 10.0], {"subtype": "segment"}], [[30.0, 6.0], [30.0, 10.0], {"subtype": "segment"}], [[15.0, 6.0], [15.0, 10.0], {"subtype": "segment"}], [[24.0, 10.0], [24.0, 16.0], {"subtype": "segment"}], [[15.0, 0.0], [15.0, 6.0], {"subtype": "segment"}], [[0.0, 6.0], [0.0, 10.0], {"subtype": "segment"}], [[15.0, 6.0], [24.0, 6.0], {"subtype": "segment"}], [[0.0, 10.0], [9.0, 10.0], {"subtype": "segment"}], [[24.0, 6.0], [30.0, 6.0], {"subtype": "segment"}], [[9.0, 10.0], [15.0, 10.0], {"subtype": "segment"}], [[24.0, 0.0], [24.0, 6.0], {"subtype": "segment"}], [[9.0, 6.0], [15.0, 6.0], {"subtype": "segment"}], [[15.0, 10.0], [15.0, 16.0], {"subtype": "segment"}], [[15.0, 0.0], [24.0, 0.0], {"subtype": "segment"}], [[24.0, 10.0], [30.0, 10.0], {"subtype": "segment"}], [[15.0, 16.0], [24.0, 16.0], {"subtype": "segment"}], [[24.0, 6.0], [24.0, 10.0], {"subtype": "segment"}], [[15.0, 10.0], [24.0, 10.0], {"subtype": "segment"}]]}
C.

{"init": {"range": [[-1.25, 22.0], [-1.0, 21.25]], "scale": [20, 20]}, "line": [[[6.0, 16.0], [6.0, 20.0], {"subtype": "segment"}], [[6.0, 0.0], [15.0, 0.0], {"subtype": "segment"}], [[6.0, 16.0], [15.0, 16.0], {"subtype": "segment"}], [[21.0, 16.0], [21.0, 20.0], {"subtype": "segment"}], [[0.0, 16.0], [6.0, 16.0], {"subtype": "segment"}], [[15.0, 6.0], [15.0, 10.0], {"subtype": "segment"}], [[15.0, 0.0], [15.0, 6.0], {"subtype": "segment"}], [[0.0, 20.0], [6.0, 20.0], {"subtype": "segment"}], [[15.0, 10.0], [15.0, 16.0], {"subtype": "segment"}], [[6.0, 20.0], [15.0, 20.0], {"subtype": "segment"}], [[15.0, 20.0], [21.0, 20.0], {"subtype": "segment"}], [[0.0, 16.0], [0.0, 20.0], {"subtype": "segment"}], [[15.0, 16.0], [21.0, 16.0], {"subtype": "segment"}], [[6.0, 6.0], [15.0, 6.0], {"subtype": "segment"}], [[6.0, 10.0], [6.0, 16.0], {"subtype": "segment"}], [[15.0, 16.0], [15.0, 20.0], {"subtype": "segment"}], [[6.0, 0.0], [6.0, 6.0], {"subtype": "segment"}], [[6.0, 10.0], [15.0, 10.0], {"subtype": "segment"}], [[6.0, 6.0], [6.0, 10.0], {"subtype": "segment"}]], "label": [[[6.0, 8.0], "4 m", "left", {}], [[0.0, 18.0], "4 m", "left", {}], [[6.0, 13.0], "6 m", "left", {}], [[10.5, 20.0], "9 m", "above", {}], [[18.0, 20.0], "6 m", "above", {}], [[6.0, 3.0], "6 m", "left", {}], [[3.0, 20.0], "6 m", "above", {}]]}
D.

{"init": {"range": [[-1.25, 31.0], [-1.0, 20.25]], "scale": [20, 20]}, "line": [[[24.0, 0.0], [24.0, 9.0], {"subtype": "segment"}], [[30.0, 9.0], [30.0, 13.0], {"subtype": "segment"}], [[0.0, 13.0], [9.0, 13.0], {"subtype": "segment"}], [[0.0, 9.0], [9.0, 9.0], {"subtype": "segment"}], [[24.0, 9.0], [30.0, 9.0], {"subtype": "segment"}], [[24.0, 0.0], [30.0, 0.0], {"subtype": "segment"}], [[30.0, 13.0], [30.0, 19.0], {"subtype": "segment"}], [[9.0, 9.0], [9.0, 13.0], {"subtype": "segment"}], [[9.0, 9.0], [15.0, 9.0], {"subtype": "segment"}], [[30.0, 0.0], [30.0, 9.0], {"subtype": "segment"}], [[9.0, 13.0], [15.0, 13.0], {"subtype": "segment"}], [[24.0, 9.0], [24.0, 13.0], {"subtype": "segment"}], [[24.0, 13.0], [24.0, 19.0], {"subtype": "segment"}], [[15.0, 13.0], [24.0, 13.0], {"subtype": "segment"}], [[24.0, 13.0], [30.0, 13.0], {"subtype": "segment"}], [[15.0, 9.0], [15.0, 13.0], {"subtype": "segment"}], [[15.0, 9.0], [24.0, 9.0], {"subtype": "segment"}], [[0.0, 9.0], [0.0, 13.0], {"subtype": "segment"}], [[24.0, 19.0], [30.0, 19.0], {"subtype": "segment"}]], "label": [[[4.5, 13.0], "9 m", "above", {}], [[24.0, 16.0], "6 m", "left", {}], [[24.0, 4.5], "9 m", "left", {}], [[19.5, 13.0], "9 m", "above", {}], [[12.0, 13.0], "6 m", "above", {}], [[27.0, 19.0], "6 m", "above", {}], [[0.0, 11.0], "4 m", "left", {}]]}

Exercice 2 : Se repérer sur le patron d'un pavé droit

Voici le patron d'un pavé droit. On considère que le rectangle ILMN est la face de dessous de ce solide une fois reconstitué. On sait de plus que \[MN = 3\:\text{cm};\] \[LM = 4\:\text{cm};\] \[IJ = 9\:\text{cm}.\]

Quel rectangle représente la face de dessus du pavé droit ?

Quelle est la longueur de ce rectangle ?
On donnera la réponse suivie de l'unité qui convient.

Quelle est la largeur de ce rectangle ?
On donnera la réponse suivie de l'unité qui convient.

Parmi les rectangles suivants, lesquels représentent les faces situées sur les côtés du pavé droit ?

OPQV
HINW
ONWV
QSTV
IJKL

Quelle est la longueur du rectangle ONWV ?
On donnera la réponse suivie de l'unité qui convient.

Quelle est la largeur du rectangle OPQV ?
On donnera la réponse suivie de l'unité qui convient.

Exercice 3 : Reconnaître le patron d'un pavé droit

Soit le pavé suivant :

Parmi les figures suivantes, trouver celle ou celles étant un patron de ce pavé.

A.

{"init": {"range": [[-1.25, 39.0], [-1.0, 21.25]], "scale": [20, 20]}, "label": [[[24.0, 20.0], "8 cm", "above", {}], [[20.0, 15.0], "10 cm", "left", {}], [[0.0, 9.0], "2 cm", "left", {}], [[5.0, 10.0], "10 cm", "above", {}], [[10.0, 4.0], "8 cm", "left", {}], [[15.0, 10.0], "10 cm", "above", {}], [[33.0, 10.0], "10 cm", "above", {}]], "line": [[[20.0, 0.0], [20.0, 8.0], {"subtype": "segment"}], [[0.0, 8.0], [0.0, 10.0], {"subtype": "segment"}], [[38.0, 8.0], [38.0, 10.0], {"subtype": "segment"}], [[10.0, 8.0], [10.0, 10.0], {"subtype": "segment"}], [[10.0, 0.0], [10.0, 8.0], {"subtype": "segment"}], [[10.0, 0.0], [20.0, 0.0], {"subtype": "segment"}], [[10.0, 10.0], [20.0, 10.0], {"subtype": "segment"}], [[28.0, 8.0], [38.0, 8.0], {"subtype": "segment"}], [[0.0, 10.0], [10.0, 10.0], {"subtype": "segment"}], [[20.0, 20.0], [28.0, 20.0], {"subtype": "segment"}], [[0.0, 8.0], [10.0, 8.0], {"subtype": "segment"}], [[20.0, 10.0], [28.0, 10.0], {"subtype": "segment"}], [[10.0, 8.0], [20.0, 8.0], {"subtype": "segment"}], [[20.0, 8.0], [20.0, 10.0], {"subtype": "segment"}], [[20.0, 10.0], [20.0, 20.0], {"subtype": "segment"}], [[28.0, 10.0], [38.0, 10.0], {"subtype": "segment"}], [[20.0, 8.0], [28.0, 8.0], {"subtype": "segment"}], [[28.0, 8.0], [28.0, 10.0], {"subtype": "segment"}], [[28.0, 10.0], [28.0, 20.0], {"subtype": "segment"}]]}
B.

{"init": {"range": [[-1.25, 21.0], [-1.0, 21.25]], "scale": [20, 20]}, "line": [[[20.0, 0.0], [20.0, 8.0], {"subtype": "segment"}], [[0.0, 8.0], [0.0, 10.0], {"subtype": "segment"}], [[18.0, 8.0], [18.0, 10.0], {"subtype": "segment"}], [[8.0, 18.0], [18.0, 18.0], {"subtype": "segment"}], [[18.0, 18.0], [18.0, 20.0], {"subtype": "segment"}], [[8.0, 8.0], [18.0, 8.0], {"subtype": "segment"}], [[8.0, 20.0], [18.0, 20.0], {"subtype": "segment"}], [[8.0, 8.0], [8.0, 10.0], {"subtype": "segment"}], [[8.0, 10.0], [18.0, 10.0], {"subtype": "segment"}], [[8.0, 10.0], [8.0, 18.0], {"subtype": "segment"}], [[18.0, 8.0], [20.0, 8.0], {"subtype": "segment"}], [[8.0, 18.0], [8.0, 20.0], {"subtype": "segment"}], [[18.0, 0.0], [18.0, 8.0], {"subtype": "segment"}], [[0.0, 8.0], [8.0, 8.0], {"subtype": "segment"}], [[18.0, 0.0], [20.0, 0.0], {"subtype": "segment"}], [[8.0, 0.0], [18.0, 0.0], {"subtype": "segment"}], [[18.0, 10.0], [18.0, 18.0], {"subtype": "segment"}], [[8.0, 0.0], [8.0, 8.0], {"subtype": "segment"}], [[0.0, 10.0], [8.0, 10.0], {"subtype": "segment"}]], "label": [[[0.0, 9.0], "2 cm", "left", {}], [[13.0, 20.0], "10 cm", "above", {}], [[19.0, 8.0], "2 cm", "above", {}], [[4.0, 10.0], "8 cm", "above", {}], [[8.0, 19.0], "2 cm", "left", {}], [[8.0, 4.0], "8 cm", "left", {}], [[8.0, 14.0], "8 cm", "left", {}]]}
C.

{"init": {"range": [[-1.25, 21.0], [-1.0, 25.25]], "scale": [20, 20]}, "line": [[[2.0, 22.0], [10.0, 22.0], {"subtype": "segment"}], [[10.0, 0.0], [10.0, 10.0], {"subtype": "segment"}], [[0.0, 12.0], [0.0, 22.0], {"subtype": "segment"}], [[0.0, 22.0], [2.0, 22.0], {"subtype": "segment"}], [[2.0, 0.0], [10.0, 0.0], {"subtype": "segment"}], [[10.0, 10.0], [20.0, 10.0], {"subtype": "segment"}], [[2.0, 24.0], [10.0, 24.0], {"subtype": "segment"}], [[10.0, 12.0], [20.0, 12.0], {"subtype": "segment"}], [[10.0, 10.0], [10.0, 12.0], {"subtype": "segment"}], [[2.0, 10.0], [2.0, 12.0], {"subtype": "segment"}], [[0.0, 12.0], [2.0, 12.0], {"subtype": "segment"}], [[2.0, 0.0], [2.0, 10.0], {"subtype": "segment"}], [[10.0, 12.0], [10.0, 22.0], {"subtype": "segment"}], [[20.0, 10.0], [20.0, 12.0], {"subtype": "segment"}], [[2.0, 22.0], [2.0, 24.0], {"subtype": "segment"}], [[2.0, 10.0], [10.0, 10.0], {"subtype": "segment"}], [[10.0, 22.0], [10.0, 24.0], {"subtype": "segment"}], [[2.0, 12.0], [10.0, 12.0], {"subtype": "segment"}], [[2.0, 12.0], [2.0, 22.0], {"subtype": "segment"}]], "label": [[[2.0, 5.0], "10 cm", "left", {}], [[1.0, 22.0], "2 cm", "above", {}], [[15.0, 12.0], "10 cm", "above", {}], [[6.0, 24.0], "8 cm", "above", {}], [[0.0, 17.0], "10 cm", "left", {}], [[2.0, 11.0], "2 cm", "left", {}], [[2.0, 23.0], "2 cm", "left", {}]]}
D.

{"init": {"range": [[-1.25, 21.0], [-1.0, 25.25]], "scale": [20, 20]}, "line": [[[10.0, 2.0], [18.0, 2.0], {"subtype": "segment"}], [[10.0, 0.0], [10.0, 2.0], {"subtype": "segment"}], [[18.0, 12.0], [18.0, 14.0], {"subtype": "segment"}], [[20.0, 2.0], [20.0, 12.0], {"subtype": "segment"}], [[10.0, 2.0], [10.0, 12.0], {"subtype": "segment"}], [[0.0, 0.0], [0.0, 2.0], {"subtype": "segment"}], [[10.0, 12.0], [10.0, 14.0], {"subtype": "segment"}], [[10.0, 14.0], [18.0, 14.0], {"subtype": "segment"}], [[18.0, 12.0], [20.0, 12.0], {"subtype": "segment"}], [[0.0, 0.0], [10.0, 0.0], {"subtype": "segment"}], [[10.0, 24.0], [18.0, 24.0], {"subtype": "segment"}], [[0.0, 2.0], [10.0, 2.0], {"subtype": "segment"}], [[18.0, 14.0], [18.0, 24.0], {"subtype": "segment"}], [[10.0, 12.0], [18.0, 12.0], {"subtype": "segment"}], [[10.0, 14.0], [10.0, 24.0], {"subtype": "segment"}], [[18.0, 2.0], [18.0, 12.0], {"subtype": "segment"}], [[10.0, 0.0], [18.0, 0.0], {"subtype": "segment"}], [[18.0, 0.0], [18.0, 2.0], {"subtype": "segment"}], [[18.0, 2.0], [20.0, 2.0], {"subtype": "segment"}]], "label": [[[10.0, 13.0], "2 cm", "left", {}], [[10.0, 19.0], "10 cm", "left", {}], [[5.0, 2.0], "10 cm", "above", {}], [[14.0, 24.0], "8 cm", "above", {}], [[10.0, 7.0], "10 cm", "left", {}], [[19.0, 12.0], "2 cm", "above", {}], [[0.0, 1.0], "2 cm", "left", {}]]}

Exercice 4 : Se repérer sur le patron d'un pavé droit

Voici le patron d'un pavé droit. On considère que le rectangle KLQZ est la face de dessous de ce solide une fois reconstitué. On sait de plus que \[PQ = 2\:\text{cm};\] \[WX = 6\:\text{cm};\] \[TV = 9\:\text{cm}.\]

Quel rectangle représente la face de dessus du pavé droit ?

Quelle est la longueur de ce rectangle ?
On donnera la réponse suivie de l'unité qui convient.

Quelle est la largeur de ce rectangle ?
On donnera la réponse suivie de l'unité qui convient.

Parmi les rectangles suivants, lesquels représentent les faces situées sur les côtés du pavé droit ?

VWXY
LMNO
LOPQ
STVY
SQZY

Quelle est la longueur du rectangle SQZY ?
On donnera la réponse suivie de l'unité qui convient.

Quelle est la largeur du rectangle VWXY ?
On donnera la réponse suivie de l'unité qui convient.

Exercice 5 : Reconnaître le patron d'un pavé droit

Soit le pavé suivant :

Parmi les figures suivantes, trouver celle ou celles étant un patron de ce pavé.

A.

{"init": {"range": [[-1.25, 25.0], [-1.0, 20.25]], "scale": [20, 20]}, "line": [[[4.0, 0.0], [12.0, 0.0], {"subtype": "segment"}], [[12.0, 4.0], [16.0, 4.0], {"subtype": "segment"}], [[4.0, 11.0], [12.0, 11.0], {"subtype": "segment"}], [[12.0, 11.0], [12.0, 19.0], {"subtype": "segment"}], [[4.0, 4.0], [12.0, 4.0], {"subtype": "segment"}], [[24.0, 4.0], [24.0, 11.0], {"subtype": "segment"}], [[16.0, 11.0], [24.0, 11.0], {"subtype": "segment"}], [[16.0, 4.0], [16.0, 11.0], {"subtype": "segment"}], [[4.0, 0.0], [4.0, 4.0], {"subtype": "segment"}], [[12.0, 11.0], [16.0, 11.0], {"subtype": "segment"}], [[16.0, 11.0], [16.0, 19.0], {"subtype": "segment"}], [[16.0, 4.0], [24.0, 4.0], {"subtype": "segment"}], [[4.0, 4.0], [4.0, 11.0], {"subtype": "segment"}], [[0.0, 4.0], [4.0, 4.0], {"subtype": "segment"}], [[12.0, 0.0], [12.0, 4.0], {"subtype": "segment"}], [[12.0, 19.0], [16.0, 19.0], {"subtype": "segment"}], [[12.0, 4.0], [12.0, 11.0], {"subtype": "segment"}], [[0.0, 11.0], [4.0, 11.0], {"subtype": "segment"}], [[0.0, 4.0], [0.0, 11.0], {"subtype": "segment"}]], "label": [[[20.0, 11.0], "8 cm", "above", {}], [[2.0, 11.0], "4 cm", "above", {}], [[12.0, 15.0], "8 cm", "left", {}], [[14.0, 19.0], "4 cm", "above", {}], [[0.0, 7.5], "7 cm", "left", {}], [[4.0, 2.0], "4 cm", "left", {}], [[8.0, 11.0], "8 cm", "above", {}]]}
B.

{"init": {"range": [[-1.25, 20.0], [-1.0, 25.25]], "scale": [20, 20]}, "line": [[[11.0, 4.0], [11.0, 12.0], {"subtype": "segment"}], [[4.0, 12.0], [11.0, 12.0], {"subtype": "segment"}], [[4.0, 16.0], [4.0, 24.0], {"subtype": "segment"}], [[11.0, 0.0], [11.0, 4.0], {"subtype": "segment"}], [[0.0, 16.0], [0.0, 24.0], {"subtype": "segment"}], [[4.0, 12.0], [4.0, 16.0], {"subtype": "segment"}], [[0.0, 16.0], [4.0, 16.0], {"subtype": "segment"}], [[11.0, 4.0], [19.0, 4.0], {"subtype": "segment"}], [[0.0, 24.0], [4.0, 24.0], {"subtype": "segment"}], [[19.0, 12.0], [19.0, 16.0], {"subtype": "segment"}], [[11.0, 0.0], [19.0, 0.0], {"subtype": "segment"}], [[4.0, 0.0], [4.0, 4.0], {"subtype": "segment"}], [[4.0, 4.0], [11.0, 4.0], {"subtype": "segment"}], [[11.0, 16.0], [11.0, 24.0], {"subtype": "segment"}], [[4.0, 0.0], [11.0, 0.0], {"subtype": "segment"}], [[4.0, 16.0], [11.0, 16.0], {"subtype": "segment"}], [[11.0, 12.0], [19.0, 12.0], {"subtype": "segment"}], [[11.0, 12.0], [11.0, 16.0], {"subtype": "segment"}], [[11.0, 16.0], [19.0, 16.0], {"subtype": "segment"}], [[4.0, 24.0], [11.0, 24.0], {"subtype": "segment"}], [[4.0, 4.0], [4.0, 12.0], {"subtype": "segment"}], [[19.0, 0.0], [19.0, 4.0], {"subtype": "segment"}]], "label": [[[4.0, 8.0], "8 cm", "left", {}], [[2.0, 24.0], "4 cm", "above", {}], [[4.0, 14.0], "4 cm", "left", {}], [[0.0, 20.0], "8 cm", "left", {}], [[7.5, 24.0], "7 cm", "above", {}], [[4.0, 2.0], "4 cm", "left", {}], [[15.0, 16.0], "8 cm", "above", {}]]}
C.

{"init": {"range": [[-1.25, 17.0], [-1.0, 23.25]], "scale": [20, 20]}, "label": [[[8.0, 22.0], "8 cm", "above", {}], [[0.0, 18.5], "7 cm", "left", {}], [[4.0, 2.0], "4 cm", "left", {}], [[14.0, 11.0], "4 cm", "above", {}], [[4.0, 7.5], "7 cm", "left", {}], [[2.0, 22.0], "4 cm", "above", {}], [[4.0, 13.0], "4 cm", "left", {}]], "line": [[[4.0, 0.0], [12.0, 0.0], {"subtype": "segment"}], [[4.0, 11.0], [12.0, 11.0], {"subtype": "segment"}], [[16.0, 4.0], [16.0, 11.0], {"subtype": "segment"}], [[4.0, 0.0], [4.0, 4.0], {"subtype": "segment"}], [[12.0, 15.0], [12.0, 22.0], {"subtype": "segment"}], [[12.0, 11.0], [16.0, 11.0], {"subtype": "segment"}], [[4.0, 4.0], [4.0, 11.0], {"subtype": "segment"}], [[0.0, 15.0], [4.0, 15.0], {"subtype": "segment"}], [[4.0, 22.0], [12.0, 22.0], {"subtype": "segment"}], [[4.0, 11.0], [4.0, 15.0], {"subtype": "segment"}], [[12.0, 4.0], [12.0, 11.0], {"subtype": "segment"}], [[0.0, 22.0], [4.0, 22.0], {"subtype": "segment"}], [[12.0, 11.0], [12.0, 15.0], {"subtype": "segment"}], [[12.0, 4.0], [16.0, 4.0], {"subtype": "segment"}], [[0.0, 15.0], [0.0, 22.0], {"subtype": "segment"}], [[4.0, 4.0], [12.0, 4.0], {"subtype": "segment"}], [[12.0, 0.0], [12.0, 4.0], {"subtype": "segment"}], [[4.0, 15.0], [4.0, 22.0], {"subtype": "segment"}], [[4.0, 15.0], [12.0, 15.0], {"subtype": "segment"}]]}
D.

{"init": {"range": [[-1.25, 31.0], [-1.0, 21.25]], "scale": [20, 20]}, "label": [[[0.0, 4.0], "8 cm", "left", {}], [[18.5, 20.0], "7 cm", "above", {}], [[0.0, 10.0], "4 cm", "left", {}], [[11.0, 12.0], "8 cm", "above", {}], [[3.5, 12.0], "7 cm", "above", {}], [[15.0, 16.0], "8 cm", "left", {}], [[26.0, 12.0], "8 cm", "above", {}]], "line": [[[7.0, 0.0], [7.0, 8.0], {"subtype": "segment"}], [[22.0, 12.0], [22.0, 20.0], {"subtype": "segment"}], [[15.0, 8.0], [22.0, 8.0], {"subtype": "segment"}], [[0.0, 8.0], [0.0, 12.0], {"subtype": "segment"}], [[15.0, 20.0], [22.0, 20.0], {"subtype": "segment"}], [[15.0, 8.0], [15.0, 12.0], {"subtype": "segment"}], [[22.0, 8.0], [22.0, 12.0], {"subtype": "segment"}], [[0.0, 12.0], [7.0, 12.0], {"subtype": "segment"}], [[0.0, 0.0], [7.0, 0.0], {"subtype": "segment"}], [[0.0, 8.0], [7.0, 8.0], {"subtype": "segment"}], [[30.0, 8.0], [30.0, 12.0], {"subtype": "segment"}], [[22.0, 12.0], [30.0, 12.0], {"subtype": "segment"}], [[7.0, 12.0], [15.0, 12.0], {"subtype": "segment"}], [[7.0, 8.0], [7.0, 12.0], {"subtype": "segment"}], [[7.0, 8.0], [15.0, 8.0], {"subtype": "segment"}], [[15.0, 12.0], [22.0, 12.0], {"subtype": "segment"}], [[15.0, 12.0], [15.0, 20.0], {"subtype": "segment"}], [[22.0, 8.0], [30.0, 8.0], {"subtype": "segment"}], [[0.0, 0.0], [0.0, 8.0], {"subtype": "segment"}]]}

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