Question

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

Answer 1

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`