Final answer:
Without a visual representation of the star shape, we cannot definitively say which coordinates are inside the star. However, we would typically expect points closer to what is assumed to be the center of the star to likely be inside the shape.
Step-by-step explanation:
To determine which coordinates are inside the shape of the star, we need to visualize or draw a coordinate system on which the shape is plotted. Since there is no explicit plot provided, this scenario typically assumes a pre-existing plot or diagram that the student is expected to reference. Without the actual representation of the star, we cannot definitively determine which coordinates fall inside the shape. However, given the usual arrangement of coordinates in a two-dimensional space, and based on the structure of a typical star shape, we can hazard a guess that the coordinates closer to the center are more likely to be inside the star shape.
For instance, if the star is centered around the point (4,4) in the coordinate system, then options (a) (3,5), (4,6), (5,5), (4,4) and (c) (1,2), (2,1), (4,4), (5,5) include points that could be considered near the center of the star shape. Option (d) (0,0), (1,1), (2,2), (3,3) includes coordinates that form a diagonal line likely not representative of the internal points within a star shape. Option (b) has higher values that might be outside if the star is smaller or centered differently. Therefore, without a visual plot, this is speculative.