Question

if fg = 2 units, fi = 7 units, and hi = 1 unit, what is gh? 3 units 4 units 5 units 6 units

Explanation:

Step1: Use the segment addition postulate

We know that \( FI=FG + GH+HI \).

Step2: Substitute the given values

Given \( FG = 2\), \( FI = 7\), and \( HI = 1\). Substitute into the equation \(7=2 + GH+1\).

Step3: Solve for \(GH\)

First, simplify the right - hand side: \(2 + 1+GH=3 + GH\). Then, solve the equation \(7=3 + GH\) for \(GH\). Subtract 3 from both sides: \(GH=7 - 3\).

Answer:

4 units