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Determine whether the triangles are similar if so write a similarity statement. explaining your reasoning

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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


\begin{gathered} (HF)/(IJ)\text{ = }(HG)/(IK)\text{ = }(FG)/(JK) \\ (6)/(4)\text{ = }(7.5)/(1.5)\text{ = }(9)/(6) \\ 1.5\text{ = 1.5 = 1.5} \end{gathered}

They all have a common scale factor


\text{Therefore }\Delta IJK\text{ }\cong\Delta HFG

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