Question

list the coordinates of the vertices of figure abcd. original after dilation a(1, -1) a(1, -2) b(1, -4) b(1, -8) c(3, -4) ? d(3, -1) c(-6, -8) c(-6, -4) c(6, -8) c(6, -4)

Explanation:

Step1: Find the scale - factor for y - coordinates

For point A, original y - coordinate is - 1 and new y - coordinate is - 2. For point B, original y - coordinate is - 4 and new y - coordinate is - 8. The scale - factor for y - coordinates is $\frac{-2}{-1}=\frac{-8}{-4} = 2$.

Step2: Apply the scale - factor to the y - coordinate of C

The original y - coordinate of C is - 4. After dilation with a scale - factor of 2, the new y - coordinate is $-4\times2=-8$.

Step3: Find the scale - factor for x - coordinates

For point A, original x - coordinate is 1 and new x - coordinate is 1. For point B, original x - coordinate is 1 and new x - coordinate is 1. The scale - factor for x - coordinates is $\frac{1}{1}=1$.

Step4: Apply the scale - factor to the x - coordinate of C

The original x - coordinate of C is 3. After dilation with a scale - factor of 1, the new x - coordinate is $3\times1 = 3$.

Answer:

$C'(3,-8)$