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Rectangle WXYZ was dilated using the rule Rectangle W X Y Z is dilated to form rectangle W prime X prime Y prime Z prime. The length of W X is 5 and the length of X Y is 4.. D Subscript Z, twelve-fifths What is W'X'? 8 units 10 units 12 units 14 units

Respuesta :

Answer:

The length of W'X' will be exactly given by, 12 unit.

Step-by-step explanation:

Rectangle WXYZ is dialated by a factor of [tex]\frac {12}{5}[/tex] to form the rectangle W'X'Y'Z'.

So, if the length of WX is 5 unit, the length of W'X' will be exactly given by,

lenght of WX [tex]\times[/tex] Dialation factor

= [tex](5 \times \frac {12}{5})[/tex]  unit

= 12 unit

The dilation transformation forms an image that have lengths that are a

product of the lengths of the sides of the preimage and a scale factor.

  • W'X' is 12 units

Reasons:

Given parameters:

The Preimage of the dilation is rectangle WXYZ

The image formed after the dilation is W'X'Y'Z'

Required:

The measure of W'X'

Solution:

The probable rule for the dilation obtained from a similar question is [tex]\displaystyle D_{z, \frac{12}{5} }[/tex]

Therefore;

  • The center of dilation is the vertex Z
  • The scale factor of the dilation is [tex]\displaystyle \frac{12}{5}[/tex]

Which gives;

  • [tex]W'X' = \displaystyle \mathbf{\frac{12}{5} \times WX}[/tex]

  • The length of the side WX = 5

XY = 4

  • With the scale factor of dilation, 5 units in the preimage is equivalent to 12 units in the image.

Therefore;

  • [tex]W'X' = \mathbf{\displaystyle \frac{12}{5} \times WX} = \frac{12}{5} \times 5 = 12[/tex]

W'X' = 12 units

Learn more about dilation transformation here:

https://brainly.com/question/8849187

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