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die omtrekshoek in 'n semi-sirkel en moeiliker voorbeelde o - AdMaths

die omtrekshoek in 'n semi-sirkel en moeiliker voorbeelde o - AdMaths

die omtrekshoek in 'n semi-sirkel en moeiliker voorbeelde o - AdMaths

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GR. 12 DERDE VRAESTEL : MEETKUNDE<br />

LES 3 : SIRKELMEETKUNDE :<br />

DIE OMTREKSHOEK IN ‘N SEMI-SIRKEL EN<br />

MOEILIKER VOORBEELDE OOR MIDDELPUNTSHOEKE EN OMTREKSHOEKE<br />

3.3 OEFENING 3<br />

1. In <strong>die</strong> figuur is O <strong>die</strong> middelpunt<br />

van <strong>die</strong> <strong>sirkel</strong>. ∠ BOC = 112°.<br />

AD = CD.<br />

Berek<strong>en</strong> ∠ DCE.<br />

2. In <strong>die</strong> figuur is O <strong>die</strong> middelpunt<br />

van <strong>die</strong> <strong>sirkel</strong> <strong>en</strong> ∠ BOA = 100°.<br />

BC = CD.<br />

Berek<strong>en</strong> ∠ AFB.<br />

3. O is <strong>die</strong> middelpunt van <strong>die</strong> <strong>sirkel</strong><br />

<strong>en</strong> SQ halveer ∠ PQR .<br />

Bewys dat OS <strong>die</strong> middelloodlyn<br />

van PR is.<br />

( M.a.w. bewys dat RT = TP <strong>en</strong><br />

dat OT ⊥ RP . )<br />

Bl. 4 van 6<br />

B<br />

112°<br />

A O C<br />

A<br />

B<br />

Q<br />

100° O<br />

O<br />

D<br />

F<br />

T<br />

P<br />

C<br />

E<br />

R<br />

S<br />

E<br />

D

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