Question

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The pre-image, quadrilateral ABCD , was dilated to produce the image, quadrilateral A′B′C′D′ . The length of the side between vertices A and B is 4 inches.


What is the length of the side between the vertices A′ and B′?


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Answer 1

The length of the side between the vertices A′ and B′ is 16/7 units.

Transformation

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

Dilation is the increase or decrease in the size of a figure by a factor k. If a figure is dilated to produce an image, they are similar, hence the ratio of the corresponding sides are proportional.

$\frac{A'B'}{AB} =\frac{C'D'}{CD} \\ \\ \frac{A'B'}{4}=\frac{8}{14} \\ \\ A'B'=\frac{16}{7}$

The length of the side between the vertices A′ and B′ is 16/7 units.

Find out more on transformation at: https://brainly.com/question/1548871