Angle - 6e

Notion et mesure d'angle

Exercice 1 : Reconnaître des angles obtus/aigus/droits/plats

Pour chacun des angles suivants, préciser sa nature:

Exercice 2 : Mesurer un angle à l'aide d'un rapporteur

Dans la figure suivante, quelle est la mesure de l'angle \(\widehat{AOB}\) ?

{"init": {"range": [[-23.0, 28.083333333333332], [-6.264944614326271, 23.0]], "scale": [12, 12]}, "arc": [[[0.0, 0.0], [14.0, 14.0], 0.0, 180.0, false, {}], [[0.0, 0.0], [22.0, 22.0], 346.15384615384613, 193.84615384615384, false, {}]], "line": [[[-14.0, 0.0], [14.0, 0.0], {"subtype": "segment"}], [[-21.360719983373144, -5.264944614326271], [21.360719983373144, -5.264944614326271], {"subtype": "segment"}], [[14.0, 0.0], [14.700000000000001, 0.0], {"subtype": "segment"}], [[22.0, 0.0], [21.119999999999997, 0.0], {"subtype": "segment"}], [[13.787308542170912, 2.4310744873370247], [14.47667396927946, 2.552628211703876], {"subtype": "segment"}], [[21.665770566268577, 3.8202599086724676], [20.799139743617832, 3.6674495123255686], {"subtype": "segment"}], [[13.155696691002717, 4.7882820065593625], [13.813481525552854, 5.027696106887331], {"subtype": "segment"}], [[20.673237657289985, 7.524443153164712], [19.846308150998382, 7.223465427038123], {"subtype": "segment"}], [[12.12435565298214, 7.0], [12.73057343563125, 7.3500000000000005], {"subtype": "segment"}], [[19.05255888325765, 11.0], [18.290456527927343, 10.559999999999999], {"subtype": "segment"}], [[10.724622203665692, 8.99902653561155], [11.260853313848978, 9.448977862392129], {"subtype": "segment"}], [[16.852977748617516, 14.141327413103864], [16.178858638672814, 13.57567431657971], {"subtype": "segment"}], [[8.99902653561155, 10.724622203665692], [9.448977862392129, 11.260853313848978], {"subtype": "segment"}], [[14.141327413103864, 16.852977748617516], [13.57567431657971, 16.178858638672814], {"subtype": "segment"}], [[7.0, 12.12435565298214], [7.3500000000000005, 12.73057343563125], {"subtype": "segment"}], [[11.0, 19.05255888325765], [10.559999999999999, 18.290456527927343], {"subtype": "segment"}], [[4.7882820065593625, 13.155696691002717], [5.027696106887331, 13.813481525552854], {"subtype": "segment"}], [[7.524443153164712, 20.673237657289985], [7.223465427038123, 19.846308150998382], {"subtype": 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"center", {}], [[-2.795735660437578, 15.855404823496547], "100", "center", {}], [[-8.049999999999999, 13.943009000929461], "120", "center", {}], [[-12.333315534215545, 10.348880515953281], "140", "center", {}], [[-15.129051194653123, 5.506524307543266], "160", "center", {}], [[-16.099999999999998, 4.5719495651291e-100], "180", "center", {}], [[19.580000000000002, 0.0], "180", "center", {}], [[18.399181514988086, 6.696754406316594], "160", "center", {}], [[14.999150196269591, 12.58578139766244], "140", "center", {}], [[9.790000000000001, 16.95677740609931], "120", "center", {}], [[3.4000313187184967, 19.282535803979037], "100", "center", {}], [[-3.4000313187184967, 19.282535803979037], "80", "center", {}], [[-9.790000000000001, 16.95677740609931], "60", "center", {}], [[-14.999150196269591, 12.58578139766244], "40", "center", {}], [[-18.399181514988086, 6.696754406316594], "20", "center", {}], [[-19.580000000000002, 4.5719495651291e-100], "0", "center", {}], [[0.0, 18.0], "90", "center", {}], [[24.432008140433616, 8.892523726467386], "A", "above", {}], [[0.0, 0.0], "O", "below", {}], [[26.0, 0.0], "B", "above", {}]], "circle": [[[24.432008140433616, 8.892523726467386], 0.1, {"fill": "red", "stroke": "red"}], [[26.0, 0.0], 0.1, {"fill": "red", "stroke": "red"}], [[0.0, 0.0], 0.1, {"fill": "red", "stroke": "red"}]]}

On donnera la réponse suivie de l'unité qui convient.

Exercice 3 : Nommer les côtés d'un angle

Soit la figure suivante :

Nommer les côtés de l'angle indiqué en bleu.
On notera chacun des côtés en les séparant par un point virgule.

Exercice 4 : Mesurer un angle sans côté horizontal à l'aide d'un rapporteur

Dans la figure suivante, quelle est la mesure de l'angle \(\widehat{AOB}\) ?

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On donnera la réponse suivie de l'unité qui convient.

Exercice 5 : Nommer des angles

Nommer l'angle indiqué en bleu :

\(\widehat{ HGI }\)
\(\widehat{ GIH }\)
\(\widehat{ GHI }\)
\(\widehat{HIJ}\)
\(\widehat{JGH}\)

Revenir au choix du niveau