Question

1. choose the best answer. using the given coordinates and the ruler postulate, calculate the length of the line segment. (overline{fi}) -1\frac{1}{2} 3 1\frac{1}{2} 4\frac{1}{2}

Explanation:

Step1: Identify coordinates

From the ruler, the coordinate of point F is 3 and the coordinate of point I is 4.5.

Step2: Apply Ruler Postulate

The length of a line - segment with endpoints having coordinates \(x_1\) and \(x_2\) is \(|x_2 - x_1|\). Here, \(x_1 = 3\), \(x_2=4.5\), so the length of \(\overline{FI}=|4.5 - 3|\).

Step3: Calculate the length

\(|4.5 - 3|=1.5 = 1\frac{1}{2}\).

Answer:

\(1\frac{1}{2}\)