Answer:
Choice C is correct.
Step-by-step explanation:
The formula to find mid-point of a line segment is:
M= ([tex]x_{1}+x_{2}[/tex]/2,[tex]y_{1} +y_{2}[/tex]/2)
where ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) are end-points of a line segment.
we have to find mid-point of AC.
A is located at the center of xy-graph.
hence, A([tex]x_{1} ,y_{1}[/tex]) is given as (0,0) and C([tex]x_{2} ,y_{2}[/tex]) is given as (2a,2b).
put above values in the formula of mid-point formula:
M=(0+2a/2,0+2b)
M=(2a/2,2b/2)
M=(a,b) is mid-point of AC.
