<< Chapter < Page Chapter >> Page >

Wiskunde

Graad 9

Vierkante, perspektieftekening, transformasies

Module 25

Om die beginsel van translasie en geskikte notasies te leer

Hoe figure beweeg en inmekaar gepas kan word

AKTIWITEIT 1

Om die beginsel van translasie en geskikte notasies te leer

[LU 3.2, 3.7]

Transformasie deur translasie

Die skets toon die eerste kwadrant van ‘n Cartesiese vlak . Daarop is tien vlakfigure te sien.

Sê nou jy sny die vyf geskakeerde figure los, en beweeg hulle na nuwe posisies (ongeskakeer) deur hulle oor die bladsy te skuif, dan het jy hulle getransleer . Let op dat hulle nog dieselfde oriëntasie het – hulle is nog regop. Hierdie figure is getransformeer d.m.v. translasie.

  • Skryf die name van die vyf figure neer.

As jy die hoeke van ‘n figuur benoem, dan is die benoeming in die nuwe posisie soortgelyk, maar nie eenders nie. Dis sigbaar by die reghoek. Van nou af moet jy dieselfde stelsel in jou benoeming gebruik. In die geval van die reghoek beweeg punt A na posisie A, B na B, ens.

Daar is verskeie maniere om translasies te beskryf. Dis ‘n manier om iemand instruksies te gee sodat hy kan doen wat jy wil hê.

1. Byvoorbeeld, as ek sê: “Beweeg die ovaalvorm 4½ eenhede regs en 3 eenhede af”, dan gee dit die nuwe posisie van die ovaal.

Beskryf die nuwe posisie van die vyfhoek op dieselfde manier in woorde.

2. Transleer die vierkant:

vierkant ABCD → vierkant ABCD beteken beeld vierkant ABCD af op vierkant ABCD. ‘n Mens kan dit beter sê met koördinate: A (1 ; 9) → A (5 ; 8) en B(4 ; 9) → B(8 ; 8), ens.

Gebruik die koördinaatafbeeldingsmetode om die translasie van die driehoek te beskryf. Benoem die hoekpunte A, B en C.

3. Ons kan ook die rigting waarin die vorm moet skuif, spesifiseer deur van kompasrigtings gebruik te maak. Dit sê hoeveel grade (navigators gebruik gewoonlik drie syfers) daar kloksgewys gedraai moet word. Verwys na die skets. Dis duidelik dat oos 090° en wes 270° is. Die lyn is by ongeveer 200°. Die driehoek in die skets hierbo is vyf eenhede weg in die rigting 090°; met ander woorde, as jy op die toppunt van die driehoek staan, is die nuwe posisie van die toppunt vyf eenhede weg as jy na die ooste kyk.

Gebruik afstand en rigting om die parallelogram te transleer.

Skryf die name van die figure (A tot E) neer, benoem die hoekpunte en teken hulle dan op die blokkies in nuwe posisies, getransleer volgens die beskrywings hieronder. Benoem dan die nuwe hoekpunte behoorlik. Wenk: Werk in potlood totdat jy seker is!

A 21 eenhede regs en 3 eenhede af

B 11 eenhede in die rigting 090°

C 20 eenhede links en 6 eenhede af

D (31 ; 4) → (11 ; 6), (34 ; 4) → (14 ; 6), (31 ; 1) → (11 ; 3) en (34 ; 1) → (14 ; 3)

E 7 eenhede in die rigting 270°, gevolg deur 4 eenhede in die rigting 180°

AKTIWITEIT 2

Om refleksie te verstaan en te gebruik

[LU 3.2, 3.7]

Transformasie deur refleksie

Kyk weer na die laaste probleem (E) in die vorige deel. Sien jy dat dit twee translasies, een na die ander, is? Die beskrywings van A en C is dieselfde! Dit gebeur dikwels, aangesien dit baiekeer die eenvoudigste manier is om ‘n ingewikkelde transformasie te beskryf.

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Wiskunde graad 9. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col11055/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Wiskunde graad 9' conversation and receive update notifications?

Ask