Answer:
EF / LM = 1 / 4
Explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.
Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).
Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).
CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:
LM / EF = 4
EF / LM = 1 / 4