Question

true or false: if point c on \\(\overline{af}\\) is located such that the ratio of ac to cf is 2 : 3, then point c is located \\(\frac{2}{5}\\) of the distance from point a to point f. \\(\bigcirc\\) true \\(\bigcirc\\) false

Explanation:

Step1: Understand the ratio

Given \( \frac{AC}{CF}=\frac{2}{3} \), let \( AC = 2x \) and \( CF = 3x \).

Step2: Find the length of \( AF \)

The length of \( AF \) is \( AC + CF = 2x + 3x = 5x \).

Step3: Calculate the fraction of \( AC \) to \( AF \)

The fraction of \( AC \) with respect to \( AF \) is \( \frac{AC}{AF}=\frac{2x}{5x}=\frac{2}{5} \). So point \( C \) is \( \frac{2}{5} \) of the distance from \( A \) to \( F \), which means the statement is True.

Answer:

True