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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 66 to form square V′W′X′Y′ V^{\prime} W^{\prime} X^{\prime} Y^{\prime} . Side W'X' measures 1212 . What is the measure of side WX?\newlineAnswer:

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Q. Square VWXY is dilated by a scale factor of 66 to form square V′W′X′Y′ V^{\prime} W^{\prime} X^{\prime} Y^{\prime} . Side W'X' measures 1212 . What is the measure of side WX?\newlineAnswer:
  1. Identify Relationship: Identify the relationship between the sides of the original square and the dilated square.\newlineIn a dilation, the sides of the figures are proportional to the scale factor. If the scale factor is 66, then every side of the dilated square is 66 times longer than the corresponding side of the original square.
  2. Find Measure: Given that side W′X′W'X' of the dilated square measures 1212, use the scale factor to find the measure of side WXWX of the original square.\newlineTo find the length of side WXWX, we divide the length of side W′X′W'X' by the scale factor.\newlineCalculation: WX=W′X′scale factor=126WX = \frac{W'X'}{\text{scale factor}} = \frac{12}{6}
  3. Perform Division: Perform the division to find the length of side WXWX.\newlineCalculation: WX=126=2WX = \frac{12}{6} = 2

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