Respuesta :

Similarity s

Giving the following triangles

From the figure

Length IJ = Length HF

Length IK = Length = HG

Length JK = Length FG

Secondly, we need to find the scale factor

Since thet are both similar

[tex]\begin{gathered} \frac{HF}{IJ}\text{ = }\frac{HG}{IK}\text{ = }\frac{FG}{JK} \\ \frac{6}{4}\text{ = }\frac{7.5}{1.5}\text{ = }\frac{9}{6} \\ 1.5\text{ = 1.5 = 1.5} \end{gathered}[/tex]

They all have a common scale factor

[tex]\text{Therefore }\Delta IJK\text{ }\cong\Delta HFG[/tex]