Question

determine if triangle cde and triangle fgh are or are not similar, and, if they are,
state how you know. (note that figures are not necessarily drawn to scale.)

Explanation:

Step1: Calculate the ratios of corresponding sides

For triangle \(CDE\) and \(FGH\), assume the correspondence \(C - H\), \(E - G\), \(D - F\).
The ratio of \(CE\) to \(HG\) is \(\frac{20}{155}=\frac{4}{31}\).
The ratio of \(ED\) to \(GF\) is \(\frac{31}{135}\).
The ratio of \(CD\) to \(HF\) is \(\frac{27}{100}\).

Step2: Check if ratios are equal

Since \(\frac{4}{31}
eq\frac{31}{135}
eq\frac{27}{100}\)

Answer:

Triangle \(CDE\) and triangle \(FGH\) are not similar.