Answer:
D.
Step-by-step explanation:
The missing options are:
A. On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0).
B. On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0).
C. On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0).
D. On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).
A dilation with a scale factor between 0 and 1 generates a smaller figure than the original.
The first option is a figure smaller than the original only in height; the length of its bottom base is the same as the original trapezoid (3 units long)
The second and third options are bigger trapezoids than the original
If we take the coordinates of the original trapezoid and we dilate them by a scale factor of 0.5 we get:
(0, 0) -> (0*0.5, 0*0.5) = (0, 0)
(1, 4) -> (1*0.5, 4*0.5) = (0.5, 2)
(2, 4) -> (2*0.5, 4*0.5) = (1, 2)
(3, 0) -> (3*0.5, 0*0.5) = (1.5, 0)
which correspond to the trapezoid of the fourth option
