Final answer:
The total length of segment AG is obtained by adding the congruent lengths of AM and MG, which are each 3.5 inches. Thus, the length of AG is 7 inches.
Step-by-step explanation:
If point M is between points A and G, and segment AM is congruent to segment MG, then the lengths of AM and MG are equal. Given that the length of AM is 3.5 inches, and since AM is congruent to MG, it follows that the length of MG is also 3.5 inches. To find the total length of segment AG, we simply add the lengths of AM and MG together:
AG = AM + MG
AG = 3.5 inches + 3.5 inches
AG = 7 inches
Therefore, the length of segment AG is 7 inches.
In the given question, we are told that segment AM is congruent to segment MG.
This means that AM = MG.
Given that AM is 3.5 inches, we can substitute this value into the equation:
3.5 inches = MG
To find the length of AG, we need to add the lengths of AM and MG:
AG = AM + MG = 3.5 inches + 3.5 inches = 7 inches.