Final answer:
To find the coordinates for points H' and J', subtract -8 from the x-coordinate and -5 from the y-coordinate of the respective points. H' = (17,12) and J' = (12,8).
Step-by-step explanation:
To find the coordinates for points H' and J', we need to apply the given displacement.
The displacement vector from G to G' represents a movement of -8 units in the horizontal direction and -5 units in the vertical direction.
Therefore, to find H', we subtract -8 from the x-coordinate of H and -5 from the y-coordinate of H. Similarly, to find J', we subtract -8 from the x-coordinate of J and -5 from the y-coordinate of J.
H' = (9 - (-8), 7 - (-5)) = (17, 12)
J' = (4 - (-8), 3 - (-5)) = (12, 8)