Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'. Which statement is true?

Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is greater than 1.

Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is less than 1.

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is greater than 1.

We have given that,Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'.

We have to find the correct statement.

What is the meaning of the scale factor?

If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

Therefore from the given we can conclude that the statement,

If the scale factor is between 0 and 1, the image is a reduction

Therefore,Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1 is correct.

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