Question

post test. coordinate geomeiry

a. ( b e = b g )
b. ( a e = 2 ( b g ) )
c. ( a e = b g )
d. ( a g = b g )
e. none of these

Explanation:

Step1: Analyze the properties of the figure

Since \(AG\) and \(BG\) are on the same line segment \(AB\) and \(G\) is the mid - point of \(AB\) (by the symmetry of the figure where \(AE = BE\) and \(EG\) is perpendicular to \(AB\)).

Step2: Use the mid - point property

By the definition of a mid - point, if \(G\) is the mid - point of \(AB\), then \(AG=BG\).

Answer:

D. \(AG = BG\)