Costruzione del triangolo equilatero inscritto + Attività

Riproduci su carta la costruzione descritta nell'app, utilizzando riga e compasso.
Ora tocca a te!
L'app che segue è la stessa della precedente, ma ora hai a disposizione gli strumenti di GeoGebra.
Verifica con GeoGebra
Esplora tutta la costruzione nell'app qui sopra, e al termine usa gli strumenti di GeoGebra per misurare i lati del triangolo e verificare numericamente la costruzione.[br][br](Utilizza i pulsanti [i]Annulla [/i]e [i]Ripristina [/i]in alto a destra nella barra degli strumenti o ricarica la pagina nel browser per eliminare oggetti che hai creato ma non sono utili o corretti).
Quando un poligono si dice inscritto in una circonferenza?
Quando un poligono si dice circoscritto a una circonferenza?
Qual è la misura dell'angolo al centro che insiste sul lato di un triangolo regolare inscritto?
Qual è la misura del corrispondente angolo alla circonferenza?
Facendo riferimento alla costruzione, spiega perchè il triangolo che si ottiene è equilatero.
[img]data:image/png;base64,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[/img][br]La retta passante per [math]A[/math] è tangente alla circonferenza, e [math]AB[/math] è una corda.[br]Definisci l'angolo [math]\alpha[/math] in figura, riproduci il grafico su carta e disegna un angolo alla circonferenza congruente ad [math]\alpha[/math], quindi l'angolo al centro corrispondente.
Vero o falso?
[img]data:image/png;base64,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[/img][br]Facendo riferimento alla figura, in cui la retta passante per [math]A[/math] è tangente alla circonferenza in quel punto, stabilisci il valore di verità delle seguenti proposizioni.[br]Se una proposizione è falsa, correggila in modo da renderla vera.[br][br][list=1][*]L'angolo [math]ABC[/math] insiste sull'arco [math]ADC[/math].[/*][*][math]\angle BAD\cong\angle BCD[/math] [/*][*][math]\angle BAD\cong\alpha[/math] [/*][*][math]\angle BOD=2\angle BAD[/math] [/*][*]L'angolo [math]BAD[/math] è supplementare dell'angolo [math]BCD[/math][br][/*][/list]
Vero o falso?
Se una proposizione è falsa, correggila in modo da renderla vera oppure fornisci un controesempio.[br][br][list=1][*]Se un angolo alla circonferenza è acuto, il corrispondente angolo al centro è ottuso.[/*][*]Gli angoli alla circonferenza che insistono sullo stesso arco o su archi congruenti sono congruenti.[br][/*][/list]
Cerrar

Información: Costruzione del triangolo equilatero inscritto + Attività