Question

Write the coordinates of the vertices after a dilation with a scale factor of 1/2, centered at the origin.D (-12, 4)D' (___,___)

Answer 1

We are asked to find the coordinates of a point after a dilation centered at the origin. To do that, let's remember that when we have a dilation by a factor of "k" centered at the origin, then the image points are:

`(x^(\prime),y^(\prime))=(kx,ky)`

We are given the point (x,y) = (-12,4) and a dilation factor k = 1/2. The image points are:

`(x^(\prime),y^(\prime))=((1)/(2)*-12,(1)/(2)*4)=(-6,2)`

Therefore, the coordinates of the point are (-6,2)