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Samenvatting Wiskunde – MathPlus – 3 VWO – H21 Vlakke meetkunde
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Samenvatting: Wiskunde – MathPlus – 3 VWO – H21 Vlakke meetkunde
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Samenvatting Hoofdstuk 21 Vlakke meetkunde§21.1 Gelijkvormig
Congruent = Overeenkomstige hoeken en zijden zijn gelijk ABCD ~ EFGH
Gelijkvormig = Overeenkomstige hoeken zijn gelijk, overeenkomstige zijden hebben dezelfde
vergrotingsfactor ABCD ~ EFGH
Vergrotingsfactor: AB B AC
AB = DE, BC = EF, AC = FD C
Berekening: Vergrote lijn / DE EF FD Originele lijn DE/AB, EF/BC, FD/AC
Vergrotingsfactor =2 =2 =2
§21.2 Rekenen in driehoeken AB BS AS 1,75 1,125
ABS ~ CDS AB = CD, BS = DS, AS = CS CD DS CS Invullen 4,5 6,0
Vergrotingsfactor berekenen Open gegevens berekenen
§21.3 Oppervlaktes vergroten
K = Lengtevergroting
K² = Oppervlaktevergroting
K > 1 Vergroting
K < 1 Verkleining
K = 1 Gelijk
Vergroting / Origineel = K of K²
§21.4 Bijzondere lijnen in een driehoek
§21.5 Vlakke figuren
F-, Z- en X- hoeken:
Gelijkzijdig = Zijden zijn even lang, hoeken zijn even groot Altijd 60°
Gelijkbenig = 2 zijden zijn even lang, 2 hoeken zijn even groot
3 cm 60°
3 cm 3 cm
90° 3 cm
60° 60° 45° 45°
3 cm 5 cm
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