Question

Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezoid has points (0, 0), (1, 4), (2, 4), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0). On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0). On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Answer 1

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

The given trapezoid has vertices at

(0, 0), (1, 4), (2, 4), (3, 0).

We want to choose from the given options the trapezoid with a scale factor between 0 and 1.

If a scale factor of a dilation is between 0 and 1, the size of the image trapezoid will be smaller than the preimage.

When we analyze the coordinates carefully, the answer is, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

The reason is that, when we multiply the coordinates of (0, 0), (1, 4), (2, 4), (3, 0) by 0.5, we obtain (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Hence the scale factor is 0.5 and this is between 0 and 1.

Answer 2

Answer:

(0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation: