Final Answer:
The true statements are AG=10, CG=2/3 CD, and G is the centroid.
Step-by-step explanation:
In the given options:
a) DG=8 - This statement doesn't provide any information about the values of DG or the relationships between different points, so it cannot be determined if it's true or false without additional information.
b) AG=10 - This statement gives a specific value for AG, so it is a concrete and clear statement. It can be considered true if AG is indeed 10.
c) GE=10 - Similar to option a), this statement doesn't provide enough information about the relationships between points, making it impossible to determine its truth value without more context.
d) CG=2/3 CD - This statement establishes a relationship between CG and CD. To validate its truth, you would need to compare the lengths of CG and CD. If CG is indeed two-thirds the length of CD, then this statement is true.
e) G is the centroid - This statement provides information about the point G, claiming it is the centroid. To verify its accuracy, you would need to check if G satisfies the conditions of being the centroid in the given context.
In conclusion, options b), d), and e) have the potential to be true based on the information provided, but without additional details or calculations, it's not possible to definitively confirm or refute the accuracy of these statements.