Middle School

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Trapezoid WXYZ is shown on the coordinate grid. Trapezoid WXYZ is dilated with the origin as the center of dilation using the rule (x, y)→(4x, 4y) to create trapezoid W'X'Y'Z'.


Which statement is true?



Trapezoid W'X'Y'Z' is smaller than trapezoid WXYZ because the scale factor is less than 1.


Trapezoid W'X'Y'Z' is smaller than trapezoid WXYZ because the scale factor is greater than 1.


Trapezoid W'X'Y'Z' is larger than trapezoid WXYZ because the scale factor is less than 1.


Trapezoid W'X'Y'Z' is larger than trapezoid WXYZ because the scale factor is greater than 1.

Trapezoid WXYZ is shown on the coordinate grid Trapezoid WXYZ is dilated with the origin as the center of dilation using the rule x y

Answer :

Trapezoid W'X'Y'Z' is larger than trapezoid WXYZ because the scale factor is greater than 1.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.

Given the rule:

(x, y)→(4x, 4y)

k = 4 > 1, hence this is an increase.

Trapezoid W'X'Y'Z' is larger than trapezoid WXYZ because the scale factor is greater than 1.

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