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: Analyze the relationship between line segments

We know that \( FI = FG+GH + HI\) (by the segment addition postulate).

Step2: Substitute the known values

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

Step3: Solve for \(GH\)

First, simplify the right - hand side of the equation: \(2 + 1+GH=3 + GH\). Then, from \(7=3 + GH\), we can find \(GH\) by subtracting 3 from both sides. So \(GH=7-(2 + 1)=7 - 3=4\) units.

Answer:

A. 3 units