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Square VWXY is dilated by a scale factor of 6 to form square
V^(')W^(')X^(')Y^('). Side W'X' measures 12 . What is the measure of side WX?
Answer:

Square VWXY is dilated by a scale factor of $6$ to form square $V^{\prime} W^{\prime} X^{\prime} Y^{\prime}$ . Side W'X' measures $12$ . What is the measure of side WX? $\newline$ Answer:

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Write and solve direct variation equations

Full solution

Q. Square VWXY is dilated by a scale factor of

6

to form square

V^{\prime} W^{\prime} X^{\prime} Y^{\prime}

. Side W'X' measures

12

. What is the measure of side WX?

\newline

Answer:

Identify Relationship: Identify the relationship between the sides of the original square and the dilated square. $\newline$ In a dilation, the sides of the figures are proportional to the scale factor. If the scale factor is $6$ , then every side of the dilated square is $6$ times longer than the corresponding side of the original square.
Find Measure: Given that side $W'X'$ of the dilated square measures $12$ , use the scale factor to find the measure of side $WX$ of the original square. $\newline$ To find the length of side $WX$ , we divide the length of side $W'X'$ by the scale factor. $\newline$ Calculation: $WX = \frac{W'X'}{\text{scale factor}} = \frac{12}{6}$
Perform Division: Perform the division to find the length of side $WX$ . $\newline$ Calculation: $WX = \frac{12}{6} = 2$

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