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8Is there enough information to determine whether ADEF has been dilated to ADUV from point R? If so, what is thescale factor? (G.SRT.A.2)E

8Is there enough information to determine whether ADEF has been dilated to ADUV from-example-1
User Dskiles
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1 Answer

17 votes
17 votes

Yes, there is enough information to determine that ΔDEF has been dilated to ΔDUV because the ratio of the corresponding sides is equal, and all the dimensions required to determine the scale factor are present.

To calculate the scale factor, find the ratio of any corresponding sides

That is,


\begin{gathered} If\text{ }\Delta DEF\text{ \textasciitilde}\Delta\text{DUV} \\ \text{Then,} \\ (DE)/(DU)=(EF)/(UV)=(DF)/(DV) \\ ((77+14))/(14)=(117)/(18)=(52)/((52-44)) \\ (91)/(14)=(117)/(18)=(52)/(8) \\ =(13)/(2) \end{gathered}

Therefore, the scale factor is 13/2

Answer is Option E.

User Anpsmn
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