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Niech dane będą dwie proste równoległe k, l.

Poprowadźmy dwie proste przecinające prostą k w tym samym punkcie, niech każda z nich ma jeden punkt wspólny z prostą l.

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Suma kątów przy wierzchołkach A, B wynosi 180^o (kąt półpełny).

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Zauważmy, że oba kąty na rysunku są oparte na tym samym łuku.

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Środkowe dzielą odcinki na połowy, a więc:

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MATeMAtyka 3. Zakres rozszerzony. Po gimnazjum

Matematyka / Podręcznik / Nowa Era

Ćwiczenie 1

Ćwiczenie 2

Ćwiczenie 3

Ćwiczenie 4