Answer: The answer is
(a) The length of side AD is 8 units.
(b) The length of side A'D' is 4 units.
(d) The scale factor is .
Step-by-step explanation: Given that Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
We are to select the correct statements from the given options.
We can note from the figure that
the length of side AD is (4 + 4) = 8 units,
and the length of side A'D' is (2 + 2) = 4 units.
So, options (a) and (b) are correct.
The co-ordinates of C, D, C' and D' are (2,4), (4, 0), (1, 2) and (2,0) respectively.
The slope of CD is given by
and the slope of A'D' is
Therefore, the slopes of CD and C'D' are equal, but not equal to 2, its - 2.
So, option (c) is incorrect.
Now, the scale factor of dilation is
Thus, (a), (b) and (d) are correct.