Question

are these two triangles similar polygons? explain your thinking. be specific.

Explanation:

Step1: Calculate the ratios of corresponding sides

For side \(AB = 5\) and \(DF = 10\), the ratio is \(\frac{AB}{DF}=\frac{5}{10}=\frac{1}{2}\).
For side \(BC = 12\) and \(FE = 24\), the ratio is \(\frac{BC}{FE}=\frac{12}{24}=\frac{1}{2}\).
For side \(AC = 14\) and \(DE = 24.5\), the ratio is \(\frac{AC}{DE}=\frac{14}{24.5}=\frac{140}{245}=\frac{4}{7}\).

Step2: Check if all ratios are equal

Since \(\frac{1}{2}
eq\frac{4}{7}\), the ratios of the corresponding sides are not all equal.

Answer:

No, the two triangles are not similar polygons.