Answer:
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The corresponding side lengths are related by k(CB) = C'B'.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.
a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.
c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).
d) C'B' = k(CB)
