Question

find the vertices for a dilation with center (0,0) and a scale factor of 4 A(-3,1) b(4,-3) c(2,3) d(-1,4)

Answer 1

The vertices for the dilation with center (0,0) and a scale factor of 4 are: A (-12, 4), B (16, -12), C (8, 12), and D (-4, 16)

Step-by-step explanation:

To find the vertices for a dilation with center (0,0) and a scale factor of 4, we need to multiply the x and y coordinates of each vertex by the scale factor. Let's go through each vertex:

1. Vertex A: (-3,1) → (4*(-3), 4*1) = (-12, 4)
2. Vertex B: (4,-3) → (4*4, 4*(-3)) = (16, -12)
3. Vertex C: (2,3) → (4*2, 4*3) = (8, 12)
4. Vertex D: (-1,4) → (4*(-1), 4*4) = (-4, 16)

So, the vertices for the dilation with center (0,0) and a scale factor of 4 are: A (-12, 4), B (16, -12), C (8, 12), and D (-4, 16).