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Triangle FGH is dilated by a scale factor of 6 to form triangle F^(')G^(')H^('). Side FG measures 15 . What is the measure of side F^(')G^(') ? Answer:

Triangle FGH is dilated by a scale factor of 66 to form triangle F′G′H′ \mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime} . Side FG \mathrm{FG} measures 1515 . What is the measure of side F′G′ \mathrm{F}^{\prime} \mathrm{G}^{\prime} ?\newlineAnswer:

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Q. Triangle FGH is dilated by a scale factor of 66 to form triangle F′G′H′ \mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime} . Side FG \mathrm{FG} measures 1515 . What is the measure of side F′G′ \mathrm{F}^{\prime} \mathrm{G}^{\prime} ?\newlineAnswer:
  1. Identify Given Information: Identify the given information and what needs to be found.\newlineWe know the original length of side FGFG is 1515 units and the scale factor for the dilation is 66. We need to find the length of the dilated side F′G′F'G'.
  2. Apply Scale Factor: Apply the scale factor to the original length to find the new length.\newlineTo find the length of side F′G′F'G', we multiply the original length of FGFG by the scale factor.\newlineCalculation: 1515 units ×6=90\times 6 = 90 units
  3. Verify Calculation: Verify that the calculation is correct and makes sense in the context of the problem.\newlineMultiplying the original length by the scale factor should give us the length of the dilated side. Since 15×6=9015 \times 6 = 90, and there are no complex operations involved, the calculation is likely correct.

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