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''. What are the coordinates of segment E''F''?

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).