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Summary

Zusammenfassung Geometrie

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Merkzettel für die Geometrie - Symmetrie von Figuren - Grundlegende Sätze der Elementargeometrie - Kongruenzsätze - Strahlensätze - Satz des Pythagoras + Sinus- und Kosinus Satz - Lineare Gleichungssysteme - Matrizen und Determinaten - Vektoren

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  • October 6, 2024
  • 10
  • 2024/2025
  • Summary
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Vierecke
Form Name Punktsymetrisch ? Symmetrieachsen Eigenschaft




I
S 7


Quadrat ~ Winkel 4
. f
4 ↳ rechte
,
gleich lang Seiten
- 2

Rechteck V 2 ↳ rechte Winkel
A ~




~ 2
Raute ↳
gleichlange Seiten



Trapez X 1 2 parallele Seiten


V O Parallel
Paralelogram 2 Seiten




I Drachen X 1 eine
diagonalle
die andere
halbiert




Dreiecke
Eigenschaft
V
Form Name

-




2 -
Spitzwinklig alle Winkel goo

·

Winkel goo
X = 90
Rechtwinklig ein




= 900 Winkel 900
stumpfwinklig ein >




Gleichschenklig zwei gleichlange Seiten



Gleichseitig alle Seiten
gleichlang

, Kapittel #I :
Grundlegende Sätze der Elementar
geometrie


Ma B
a =



Scheitelwinkelsatz


Nebenwinkelsatz & 1800
B + x =




a)

h


Stufenwinkelsatz 2) x
g((h) = ) a =




9
a)


h
Wechselwinkelsatz
E g(h) (d Y
=

9





Winkelsummensatz * a+
B+ y = 1000

für Dreiecke
1 .
d IB · D




·
Satz von der PemapE) AP =
BP/lAP1 =
18P/
Mittelsenkrechten


9
Satz der 1
von
-
- ..
Pewa) AP EP
Winkelhalbierenden
=

Wa
:
· ↳




Kongruenz :
Kongruenzsätze für Dreiecke
Zwei
Figuren heißen Kongresent
oder
Deckungsgleich ,
wenn sie al SWS(Seite-winckel-Seite
in allen Bestimmungsgrößen
übereinstimmen SSS (Seite-Seite-Seite)
(winkel ,
Seitenlängen - : -




·
I S WSW(Winkel-Seite-Winkel)
(Enkongruent zuFz)
C
Fr E Fz
6 A



A
S SoW größere Seite dem
C ↳

Winkel gegenüber

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