Question

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0).

Which statements are true about the trapezoids? Select three options.

The length of side AD is 8 units.
The length of side A'D' is 4 units.
The image is larger than the pre-image.
Sides CD and C'D' both have the same slope, 2.
The scale factor is One-half.

Answer 1

True statements:
- The length of side AD is 8 units. (Distance from A(-4,0) to D(4,0) = 8.)
- The length of side A'D' is 4 units. (Distance from A'(-2,0) to D'(2,0) = 4.)
- The scale factor is One-half. (A' coordinates are half of A's; A'D'/AD = 4/8 = 1/2.)

False: the image is not larger (it's smaller), and CD and C'D' have slope -2, not +2.