Question

On a separate sheet of paper, graph the image of △FGH

with the given vertices after a dilation centered at the origin with the given scale factor. What are the coordinates of the vertices of the image? Write your answers as decimals, if necessary.



F(−10, 4), G(−4, 4), H(−4, −8), k = 0.25

Answer 1

The formula to find the coordinates after dilation is:

`\((x', y') = (k * x, k * y)\)Let's apply this formula to each vertex:For point F(-10, 4):\(F' = (0.25 * (-10), 0.25 * 4)\)\(F' = (-2.5, 1)\)`

`For point G(-4, 4):\(G' = (0.25 * (-4), 0.25 * 4)\)\(G' = (-1, 1)\)For point H(-4, -8):\(H' = (0.25 * (-4), 0.25 * (-8))\)\(H' = (-1, -2)\)Now, let's plot these new coordinates on the graph:Original Triangle △FGH:F(-10, 4), G(-4, 4), H(-4, -8)`

`Dilated Triangle △F'G'H':F'(-2.5, 1), G'(-1, 1), H'(-1, -2)`

Explanation: