Geometry Formulas and Definitions, Lecture notes of Geometry

Any triangle, given half the length of the perimeter(s) and the lengths of sides a, b, and c.

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2022/2023

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Angles
Obluse angle geator fr|an 9(P
Complementaryangles SuppbmenAryargles
tu,o arybs add up
to
90" trrc anglos edd Lp
b 18ff
t--
Right angle equab 90"
V
/_
Acute arqle b6sr|en 9(P
G
Complete angle
rotation
equals 3flf
=
Palallel Lines
*
Ellipse
Lines
<->Lirp
H
Line Segment
HRay
-F---)-
----
Lhe of Symmetry
Cirelee
Cide
Heron'e
x
Rectangb
re
Square
*
Regular Octagon
#
re
Paralblogram
t
kgularHo€gort
perimete(s)
Pythagorean Theorem
A
" l''l s2_s2an2
a
All kimebrs
P= ?+ b+ c+
...
S$raG
PerinreEr P=1s
Ata A= *
Rectanglc
Pqimder P=21 +2w
Atea A= hw
Chcb
Circmferute C=hl
Areg A=*f2
Trhngts
Periltder P= a+ b+ c
Arcn A=! ttt
PardHogmanr
PedmeW
P= ?t b+ c+ d
Ata A= tth
s ClrctkSec"lor
Arre A=+14
ffi
A
"ti'ff \
b
ffi
@
@1
@l
_-i{L___
CDIL
Cfrcnk Rkrg
Arca A=r(#-f)
fnpeacfC
Periltder P= a+ b+ c+ d
Are€ A= (a+b)h
2
Spttee
Sutt# S=4nf
volunv v=d3
krguhr Bor
Sutfffi g=2(hl+ tw+
M
Vdunp V- Ml
RStt €XrcuFClilndel
gJttffi S=h,rh
Vd,rrle v=nfh
n$*CirrurFConp_
&rt# S=s,lf + tl
VotmE v= trln
Frusfrrm
of a Cone
Volunp V= t"flf * n+ *'l
GeorneFy
Sources:
Geometry
Glossary
http //ibrary.fi in kquest.org/2647lgeometry/g lossary. htm
New York Public Libnry Desk Reference, Third
Edition. Macmillan
Wright, John W. ed. The New
York 77mes
Almanac Millennium Edition.
Penguin
Reference
Dave's Math Tables: Areas, Volumes,
Surface Areas
htto:/Arww.sisweb.com/math/geometry/areasvols.
htm
Measurement Formulas
http//library.thinkq uest.org/2647lgeometry/measure/measure.
htm
Ask Dr. Math Regular Pofgon Formulas
http:/Amivwaskdrmath.com/dr.matMaqfformulaVtaq.regooly.html
Ask Dr. Math
Circle
Formulas
http /Arwrv.askd rmath.coln/d r. mattlfaq/form
u
la#fao.circle.
html
Ask Dr. Math Triangle
Formuhs
htto/lunrw.askdrmath.conUd
r.
mathlfaqfformulaMaq.triangle.
htm I
Ask Dr. Math
0uadrilateral
Formulas
htto://www.askdrmath.com/dr.matMa0lformulaslfaq.quad.
html
Common Formulas
http/ftnwv.infoplease.com/ipa/AfiX)1 726. html
Swokowski, Ofnik and
Pence.
Calculus of a Single Variable, 2nd EditionP.W.S.
*Radius
Geometrie
Formulee
Straight angle equats
180"
:ryh^
---
RegFJar Fentagon
*Ro14*
A
Equihteral

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Angles

Obluse angle geator fr|an 9(P

Complementaryanglestu,oarybs addupto (^) 90" SuppbmenAryarglestrrcangloseddLpb 18ff

t--

Right angle equab 90"

V

/_

Acute arqle b6sr|en9(P

G

Completeangle rotationequals3flf

Palallel Lines

Ellipse

Lines

<->Lirp

H Line Segment

H (^) Ray

  • F - - - ) - ---- Lhe of Symmetry

Cirelee

Cide

Heron'e

x

Rectangb

re

Square

RegularOctagon

re

Paralblogram

t

kgularHo€gort perimete(s) Pythagorean Theorem

A " l ' ' l^ s 2 _ s 2 a n 2 a All kimebrs P =? + b + c +... S$raG PerinreEr P=1s Ata A= * Rectanglc Pqimder P=21 +2w Atea A= hw Chcb Circmferute C=hl Areg A=*f

Trhngts Periltder P= a+ b+ c Arcn A=! ttt PardHogmanr PedmeW P= ?t b+ c+ d Ata A= tth

s ClrctkSec"lor ArreA=+

ffi

A "ti'ff
b

ffi

@l

-i{L__ CDIL

Cfrcnk Rkrg A r c aA = r ( # - f ) fnpeacfC Periltder P= a+ b+ c+ d A r e €A = ( a + b ) h 2

Spttee Sutt# S=4nf volunv v=d 3

krguhr Bor Sutfffi g=2(hl+^ tw+ (^) M Vdunp V- Ml RSttgJttffi €XrcuFClilndel S=h,rh Vd,rrle v=nfh n$*CirrurFConp_ &rt# S=s,lf + tl VotmE v= trln Frusfrrm (^) of a Cone Volunp V= t"flf * n+ *'l

GeorneFy Sources: GeometryGlossary http//ibrary.fiinkquest.org/2647lgeometry/glossary.htm NewYorkPublicLibnryDeskReference,ThirdEdition.Macmillan Wright,JohnW.ed.TheNewYork77mesAlmanacMillenniumEdition. PenguinReference Dave'sMathTables:Areas,Volumes,SurfaceAreas htto:/Arww.sisweb.com/math/geometry/areasvols.htm MeasurementFormulas http//library.thinkquest.org/2647lgeometry/measure/measure.htm AskDr.MathRegularPofgonFormulas http:/Amivwaskdrmath.com/dr.matMaqfformulaVtaq.regooly.html AskDr.MathCircleFormulas http/Arwrv.askdrmath.coln/dr.mattlfaq/formula#fao.circle.html AskDr.MathTriangleFormuhs htto/lunrw.askdrmath.conUdr.mathlfaqfformulaMaq.triangle.htmI AskDr.Math0uadrilateralFormulas htto://www.askdrmath.com/dr.matMa0lformulaslfaq.quad.html CommonFormulas http/ftnwv.infoplease.com/ipa/AfiX)1726.html Swokowski,OfnikandPence.Calculusofa SingleVariable,2ndEditionP.W.S.

Radius

GeometrieFormulee

Straight angle equats180"

ryh^

RegFJar Fentagon

Ro14

AEquihteral