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Answer :
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'.
[tex]E(0,2)\to E'(0+5,2+4)=E'(5,6)[/tex]
[tex]F(1,-4)\to F'(1+5,-4+4)=F'(6,0)[/tex]
Segment E'F' is translated using the translation rule (x, y) ⟶ (x - 2, y - 1) to map onto segment E''F''.
[tex]E'(5,6)\to E''(5-2,6-1)=E''(3,5)[/tex]
[tex]F'(6,0)\to F''(6-2,0-1)=F''(4,-1)[/tex]
Therefore, the coordinates of the segment E''F'' are E''(3,5) and F''(4,-1).
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