Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume translation in order to explain some concepts.
Suppose you have the following triangles:
[tex]\triangle RST: \\ \\ Coordinates: \\ \\ R(10,6) \\ \\ S(-8,16) \\ \\ T(12.20) \\ \\ \\ \triangle ZXY \\ \\ Z(6,5) \\ \\ X(-3,10) \\ \\ Y(7, 12)[/tex]
So ΔRST was first translated and the dilated by the following rules:
[tex]Translation: \\ \\ (x',y')\rightarrow (x+2,y+4) \\ \\ R'(10+2,6+4)=R'(12,10) \\ \\ S'(-6,20) \\ \\ T'(14.24)[/tex]
[tex]Dilation: \\ \\ (x'',y'')\rightarrow (\frac{1}{2}x',\frac{1}{2}y') \\ \\ Z=R''(\frac{1}{2} \times 12,\frac{1}{2}\times 10)=R''(6,5) \\ \\ X=S''(\frac{1}{2}\times-6,\frac{1}{2}\times 20)=S''(-3,10) \\ \\ Y=T''(\frac{1}{2}\times 14.\frac{1}{2}\times 24)=T''(7,12)[/tex]
So as you can see:
[tex]Z(6,5) \\ \\ X(-3,10) \\ \\ Y(7,12)[/tex]
Conclusion:
ΔRST was translated, then dilated, to create ΔZXY.
