Question

given the following diagram, determine which statement is true (correct). a. fh + fg = hg b. fh + hg = fg c. hg - fh = fg d. fh - fg = hg

Explanation:

Step1: Analyze line - segment relationship

From the diagram, we can see that the line - segment \(FG\) is composed of \(FH\) and \(HG\). So, \(FH + HG=FG\).

Step2: Check each option

• Option a: \(FH + FG=HG\) is incorrect as \(FH+HG = FG\).
• Option b: \(FH + HG=FG\), this is correct.
• Option c: \(HG - FH=FG\) is incorrect.
• Option d: \(FH - FG=HG\) is incorrect.

Answer:

B. \(FH + HG = FG\)