A polygon is graphed on a coordinate grid. The location of each point on the polygon is represented by \( (x, y) \). The polygon is transformed using the rule \( (x, y) \rightarrow(t x, t y) \). Which statement is true? \( (8,3 C, R S, R C 3) \) F If \( t \) is greater than 1 , the image of the polygon is larger than the polygon. G If \( t \) is between 0 and 1 , the image of the polygon is congruent to the polygo H If \( t \) is greater than 1 , the image of the polygon is smaller than the polygon. \( J \) If \( t \) is between 0 and 1 , the image of the polygon is larger than the polygon.

When applying the transformation rule \( (x, y) \rightarrow(t x, t y) \), the value of \( t \) greatly influences the size of the polygon. If \( t \) is greater than 1, each coordinate of the polygon expands, making the new image larger than the original. Conversely, if \( t \) is between 0 and 1, the coordinates shrink, resulting in a smaller polygon. To visualize, imagine blowing up a balloon (that's \( t > 1 \)) versus deflating it (that's \( 0 < t < 1 \)). Both scenarios help you understand that the polygon's size drastically changes based on the value of \( t \), leaving you with clearer geometric insights!