Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3
Scale factor = 1/4= 1 / 3
The side length of 6 in A corresponds to a side length of 2 in B
Side length of B that corresponds with side length of 9 in A = scale factor * 9 = 1/3 * 9 = 3
The side length of 9 in A corresponds to a side length of 3 in B
Side length of B that corresponds with side length of 12 in A = scale factor * 9 = 1/3 * 12 = 4
The side length of 12 in A corresponds to a side length of 4 in B.
c) perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units
