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Given:
Segment EF has coordinates E(0, 2) and F(1, -4).
Segment EF is translated using the translation rule (x, y) ⟶ (x + 5, y + 4) to map onto segment E'F'.
Segment E'F' is translated using the translation rule (x, y) ⟶ (x - 2, y - 1) to map onto segment E''F''.
To find:
The coordinates of segment E''F''.
Solution:
Segment EF has coordinates E(0, 2) and F(1, -4).
Segment EF is translated using the translation rule (x, y) ⟶ (x + 5, y + 4) to map onto segment E'F'.
Segment E'F' is translated using the translation rule (x, y) ⟶ (x - 2, y - 1) to map onto segment E''F''.
Therefore, the coordinates of the segment E''F'' are E''(3,5) and F''(4,-1).