Question

directions - enter the correct coordinates below (use commas and parentheses): if △abc is dilated by a factor of 50%, write its new coordinates for point b point b (-2,8) -1,4 the image would be a reduc compared to the preimage the rule for for this specific dilation would be (x,y)→(0.5x, 0.5y)

Explanation:

Step1: Identify the dilation factor

The dilation factor is $50\%$ or $0.5$.

Step2: Apply the dilation rule to the x - coordinate of point B

The x - coordinate of point B is $x=-2$. Multiply it by the dilation factor: $0.5\times(-2)=-1$.

Step3: Apply the dilation rule to the y - coordinate of point B

The y - coordinate of point B is $y = 8$. Multiply it by the dilation factor: $0.5\times8 = 4$.

Answer:

$(-1,4)$