question_answer 5)

Verify, whether D is the mid-point of \[\overline{AG}.\] TIPS Firstly, find the distance of D from A and G i.e. AD and DG. If AD = DG, then D is the mid-point of AG otherwise not.

Answer:

From the given figure, it is clear that AD = AB + BC + CD = 1 + 1 + 1 = 3 units and DG = DE + EF + FG = 1 + 1 + 1 = 3 units Now, AG = AD + DG = 3 + 3 = 6 units and AD = DG = 3 units \[\because \]D lies between A and G. Thus, D is the mid-point of \[\overline{AC}.\]