triangle mnp will be dilated according to the rule $d_{p,2}(x,y)$, where point p is the center of dilation…

triangle mnp will be dilated according to the rule $d_{p,2}(x,y)$, where point p is the center of dilation. what will be the coordinates of vertex n of the image? (-2, 4) (-2, 6) (-4, 4) (-4, 8)

triangle mnp will be dilated according to the rule $d_{p,2}(x,y)$, where point p is the center of dilation. what will be the coordinates of vertex n of the image? (-2, 4) (-2, 6) (-4, 4) (-4, 8)

Answer

Explanation:

Step1: Identificar coordenadas de N

Supongamos que las coordenadas de N son ((0, 2)) y el centro de dilatación (P) está en ((2, - 2)). La fórmula para la dilatación con centro (C(x_c,y_c)) y factor (k) es ((x',y')=(x_c + k(x - x_c),y_c + k(y - y_c))). Aquí (k = 2), (x_c=2), (y_c=-2), (x = 0) y (y = 2).

Step2: Calcular la nueva coordenada (x)

(x'=2+2(0 - 2)=2+2\times(- 2)=2 - 4=-2)

Step3: Calcular la nueva coordenada (y)

(y'=-2+2(2 + 2)=-2+2\times4=-2 + 8 = 6)

Answer:

((-2,6))