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:

Identify Given Information: Identify the given information and what needs to be found. We know the original length of side FG is 15 units and the scale factor for the dilation is 6. We need to find the length of the dilated side F'G'.Apply Scale Factor: Apply the scale factor to the original length to find the new length. To find the length of side F'G', we multiply the original length of FG by the scale factor. Calculation: 15 units * 6 = 90 unitsVerify Calculation: Verify that the calculation is correct and makes sense in the context of the problem. Multiplying the original length by the scale factor should give us the length of the dilated side. Since 15 * 6 = 90, and there are no complex operations involved, the calculation is likely correct.

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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 $6$ to form triangle $\mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime}$ . Side $\mathrm{FG}$ measures $15$ . What is the measure of side $\mathrm{F}^{\prime} \mathrm{G}^{\prime}$ ? $\newline$ Answer:

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Q. Triangle FGH is dilated by a scale factor of

6

to form triangle

\mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime}

. Side

\mathrm{FG}

measures

15

. What is the measure of side

\mathrm{F}^{\prime} \mathrm{G}^{\prime}

\newline

Answer:

Identify Given Information: Identify the given information and what needs to be found. $\newline$ We know the original length of side $FG$ is $15$ units and the scale factor for the dilation is $6$ . We need to find the length of the dilated side $F'G'$ .
Apply Scale Factor: Apply the scale factor to the original length to find the new length. $\newline$ To find the length of side $F'G'$ , we multiply the original length of $FG$ by the scale factor. $\newline$ Calculation: $15$ units $\times 6 = 90$ units
Verify Calculation: Verify that the calculation is correct and makes sense in the context of the problem. $\newline$ Multiplying the original length by the scale factor should give us the length of the dilated side. Since $15 \times 6 = 90$ , and there are no complex operations involved, the calculation is likely correct.