Short Answer 
The lengths of sides AD and A’D’ were calculated as 8 units and 4 units, respectively, demonstrating that the image is not larger than the pre-image. Additionally, the scale factor between the trapezoids was determined to be 1/2, confirming the statement about the trapezoid sizes as true.
Step 1: Calculate Lengths of Sides
To verify the statements about the trapezoids, we first need to determine the lengths of the sides using the distance formula, which is given by:
- For side AD: AD = sqrt((4 – (-4))^2 + (0 – 0)^2) = sqrt(8^2) = 8 units.
- For side A’D’: A’D’ = sqrt((2 – (-2))^2 + (0 – 0)^2) = sqrt(4^2) = 4 units.
The calculations confirm that the lengths of side AD and side A’D’ are 8 units and 4 units, respectively.
Step 2: Evaluate Image Size Comparison
Next, we compare the lengths of corresponding sides of the trapezoids to analyze if the image is larger than the pre-image. We observe the following:
- Length of side AD is 8 units.
- Length of side A’D’ is 4 units.
Since the side lengths are not proportional (AD > A’D’), it indicates that the image is not larger than the pre-image, making this statement false.
Step 3: Determine the Scale Factor
The scale factor can be calculated by comparing the lengths of corresponding sides of the trapezoids. The formula for the scale factor is:
- Scale Factor: = Length of A’D’ / Length of AD = 4 / 8 = 1/2.
Thus, the scale factor of 1/2 is accurate, confirming this statement as true.