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3.16 Veelhoeke

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Wiskunde

Ruimte en vorm

Opvoeders afdeling

Memorandum

15.2 (a) konkaaf

  1. konkaaf
  2. konveks

16.1 (a) ruit

(b) trapesium

(c) oktogoon (8-hoek)

(d) vierhoek

veelhoek

(e) heksagoon (6-hoek)

(f) heptagoon (7-hoek)

(g) pentagoon (5-hoek)

(h) parallelogram

16.2

16.3 108°

17.1 OOREENKOMSTE

* 4 ewe lang sye

sye

* hoeklyne halveer mekaar

  • 4 hoeke

VERSKILLE

* ruit se hoeke nie 90° nie

17.2 OOREENKOMSTE

* het 2 pare ewe lang sye

* 2 teenoorstaande sye is ewe lank /

* het 4 hoeke

* hoeklyne halveer mekaar /

VERSKILLE

* parallelogram se hoeke nie 90 ° nie/

18.

(a) vlieër

(b) trapesium

20.2 plafonne; hekke; dakkappe; brûe; steierwerk

Leerders afdeling

Inhoud

Aktiwiteit: veelhoeke [lu 3.1, lu 2.3]

15. VEELHOEKE

15.1 Het jy geweet?

Meetkundige vorms wat deur reguit lyne omsluit word, noem ons veelhoeke . Dit bestaan uit sye , hoeke en hoekpunte .

15.2 Het jy ook geweet?

’n Veelhoek is konveks as al die lyne wat enige twee hoekpunte verbind binne die veelhoek val.

Al die binnehoeke is skerp- of stomp-hoeke.

As enige lyn wat twee hoekpunte verbind buite ’n veelhoek val, is die veelhoek konkaaf.

Een of meer van die binnehoeke is ’n inspringende hoek.

15.2.1 Is die volgende veelhoeke konveks of konkaaf?

a)

_________________________________

b)

_________________________________

c)

_________________________________

15.3 Onthou ook!

’n Reëlmatige veelhoek se sye is almal ewe lank en die hoeke is almal ewe groot.

Hoe meer sye ’n reëlmatige veelhoek het, hoe groter is sy binnehoeke.

’n Onreëlmatige veelhoek se sye is almal verskillende lengtes.

15.4 LET WEL!

Ons kan die grootte van die hoeke van ’n reëlmatige veelhoek met behulp van ’n formule bereken:

Grootte van elke hoek =
(aantal sye – 2) × 180°
aantal sye

bv. Seshoek:

16.1 Werk saam met ’n maat. Kan julle sê wat elkeen van die volgende veelhoeke genoem word? Skryf die naam binne-in elke figuur.

a)

b)

c)

d)

e)

f)

g)

h)

16.2 Bereken die grootte van elke hoek van die aghoek (oktogoon)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

16.3 Wat is die grootte van elke hoek van ’n vyfhoek? (pentagoon)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

17.1 Werk in groepe van drie. Sny stroke van stewige karton of gebruik roomys-stokkies. Maak gaatjies op die punte en heg die stroke met splitpennetjies. Bou ’n vierkant.

Vergelyk nou die vierkant met die ruit en kyk of julle die volgende kan voltooi:

  • Druk op die hoekpunt en verander dit in ’n ruit:

OOREENKOMSTE

tussen ruit en vierkant

_____________________________________________________________________

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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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