Question

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I': Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D are 3, 5, at E 7, 5, at F 8, 2, at G 7, negative 1, at H 3, negative 1, at I 2, 2; at D prime negative 6, 2, at E prime negative 2, 2, at F prime negative 1, negative 1, at G prime negative 2, negative 4, at H prime negative 6, negative 4, at I prime negative 7, negative 1 Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'? (x, y)→(x − 9, y − 3) (x, y)→(x − 3, y − 9) (x, y)→(x + 3, y + 3) (x, y)→(x + 9, y + 9)

Answer 1

We write the translation one by one:

D (3, 5)

D' (-6, 2)

That translates to: (x - 9, y - 3), because that is for passing from D to D': (3 - 9, 5 - 3) = (-6, 2).

Therefore if it is true for D and D' then, it has to be true for all others (you can check) for that rule to be true, so the correct answer is:

(x, y)→(x − 9, y − 3)