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Математика1) Заполните таблицу для накрест лежащих, односторонних, соответственных, смежных и вертикальных углов.
Ответ:
1) Задание
Заполняем таблицу для углов, образованных при пересечении двух параллельных прямых секущей.
| накрест лежащие | односторонние | соответственные | смежные | вертикальные | |
| 1) | \(\angle 1\) и \(\angle 7\) \(\angle 4\) и \(\angle 6\) | \(\angle 1\) и \(\angle 5\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 5\) \(\angle 2\) и \(\angle 6\) \(\angle 3\) и \(\angle 7\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 2\) \(\angle 2\) и \(\angle 3\) \(\angle 3\) и \(\angle 4\) \(\angle 4\) и \(\angle 1\) \(\angle 5\) и \(\angle 6\) \(\angle 6\) и \(\angle 7\) \(\angle 7\) и \(\angle 8\) \(\angle 8\) и \(\angle 5\) | \(\angle 1\) и \(\angle 3\) \(\angle 2\) и \(\angle 4\) \(\angle 5\) и \(\angle 7\) \(\angle 6\) и \(\angle 8\) |
| 2) | \(\angle 2\) и \(\angle 8\) \(\angle 3\) и \(\angle 5\) | \(\angle 2\) и \(\angle 5\) \(\angle 3\) и \(\angle 6\) | \(\angle 1\) и \(\angle 5\) \(\angle 2\) и \(\angle 6\) \(\angle 3\) и \(\angle 7\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 2\) \(\angle 2\) и \(\angle 4\) \(\angle 3\) и \(\angle 5\) \(\angle 5\) и \(\angle 8\) | \(\angle 1\) и \(\angle 4\) \(\angle 2\) и \(\angle 3\) \(\angle 5\) и \(\angle 8\) \(\angle 6\) и \(\angle 7\) |
| 3) | \(\angle 3\) и \(\angle 5\) \(\angle 4\) и \(\angle 6\) | \(\angle 1\) и \(\angle 7\) \(\angle 2\) и \(\angle 8\) | \(\angle 1\) и \(\angle 5\) \(\angle 2\) и \(\angle 6\) \(\angle 3\) и \(\angle 7\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 2\) \(\angle 2\) и \(\angle 4\) \(\angle 4\) и \(\angle 3\) \(\angle 3\) и \(\angle 1\) \(\angle 5\) и \(\angle 6\) \(\angle 6\) и \(\angle 8\) \(\angle 8\) и \(\angle 7\) \(\angle 7\) и \(\angle 5\) | \(\angle 1\) и \(\angle 4\) \(\angle 2\) и \(\angle 3\) \(\angle 5\) и \(\angle 7\) \(\angle 6\) и \(\angle 8\) |
| 4) | \(\angle 1\) и \(\angle 7\) \(\angle 4\) и \(\angle 6\) | \(\angle 1\) и \(\angle 5\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 5\) \(\angle 2\) и \(\angle 6\) \(\angle 3\) и \(\angle 7\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 2\) \(\angle 2\) и \(\angle 4\) \(\angle 4\) и \(\angle 3\) \(\angle 3\) и \(\angle 1\) \(\angle 5\) и \(\angle 6\) \(\angle 6\) и \(\angle 8\) \(\angle 8\) и \(\angle 7\) \(\angle 7\) и \(\angle 5\) | \(\angle 1\) и \(\angle 4\) \(\angle 2\) и \(\angle 3\) \(\angle 5\) и \(\angle 7\) \(\angle 6\) и \(\angle 8\) |
| 5) | \(\angle 1\) и \(\angle 7\) \(\angle 4\) и \(\angle 6\) | \(\angle 1\) и \(\angle 5\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 5\) \(\angle 2\) и \(\angle 6\) \(\angle 3\) и \(\angle 7\) \(\angle 4\) и \(\angle 8\) | \(\angle 1\) и \(\angle 2\) \(\angle 2\) и \(\angle 4\) \(\angle 4\) и \(\angle 3\) \(\angle 3\) и \(\angle 1\) \(\angle 5\) и \(\angle 6\) \(\angle 6\) и \(\angle 8\) \(\angle 8\) и \(\angle 7\) \(\angle 7\) и \(\angle 5\) | \(\angle 1\) и \(\angle 4\) \(\angle 2\) и \(\angle 3\) \(\angle 5\) и \(\angle 7\) \(\angle 6\) и \(\angle 8\) |
Ответ: Заполненная таблица представлена выше.
