Find the image vertices for a dilation with center (0,0)

Question

and a scale factor of 4.

Quadrilateral with vertices at A left parenthesis negative 3 comma 1 right parenthesis, B left parenthesis 4 comma negative 3 right parenthesis, C left parenthesis 2 comma 3 right parenthesis, D left parenthesis negative 1 comma 4 right parenthesis.

Answer 1

To find the image vertices after a dilation with center (0,0) and a scale factor of 4, we multiply the coordinates of each vertex by the scale factor.

The given vertices are:

A (-3, 1)
B (4, -3)
C (2, 3)
D (-1, 4)

Multiplying each coordinate of the vertices by 4, we get:

A' = (-3 * 4, 1 * 4) = (-12, 4)
B' = (4 * 4, -3 * 4) = (16, -12)
C' = (2 * 4, 3 * 4) = (8, 12)
D' = (-1 * 4, 4 * 4) = (-4, 16)

So, the image vertices after the dilation are:

A' (-12, 4)
B' (16, -12)
C' (8, 12)
D' (-4, 16)