Quadrilateral ABCD is dilated to create A'B'C'D'. Which of these statements about the similar quadrilaterals are true? I. The scale factor used in the dilation is 2. II. The length of DC¯¯¯¯¯¯¯¯ is dilated by a scale factor of 12 to create a length of D′C¯¯¯¯¯¯¯¯¯′ of 4. III. Angle A is both congruent and corresponding to Angle A'. IV. The dilation is a reduction.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)