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El triángulo rectángulo isosceles PQR, con vértices en P(3, 3), Q(3, 1) y R(x,y), se gira 90° en el sentido contrario al de las manecillas del reloj sobre el origen. Halla las coordenadas del vértice R. Luego, grafica el triángulo y su imagen R(x,y) = RO )

Sagot :

1) Como la cuestión pide una rotación en sentido antehorario vamos aplicar las reglas para tal transformación.

Rotación sobre el origen 90º CCW

Pre imagen ------------ imagen

(x, y) ----------------------> (y, -x)

Coordenadas Imagen

P(3,3) ------------- P' (-3,3)

Q(3,1) Q' (-1,3)

R( x, y) R' (-y,x)

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