Question

1. what is the ratio of the corresponding sides \\( \frac { a b } { d e } \\) and \\( \frac { a c } { d f } \\) if \\( a b = 12 \mathrm { cm } , d e = 6 \mathrm { cm } , a c = 18 \mathrm { cm } \\), and \\( d f = 9 \\)?

Explanation:

Step1: Calculate the ratio of \(\frac{AB}{DE}\)

Given \(AB = 12\) cm and \(DE=6\) cm.
The ratio \(\frac{AB}{DE}=\frac{12}{6}\)

Step2: Calculate the ratio of \(\frac{AC}{DF}\)

Given \(AC = 18\) cm and \(DF = 9\) cm.
The ratio \(\frac{AC}{DF}=\frac{18}{9}\)

Answer:

\(\frac{AB}{DE}=2\) and \(\frac{AC}{DF}=2\)