Respuesta :

Answer:

Step-by-step explanation:

Coordinates of the given rectangle are,

A → (3, 3)

B → (6, 3)

C → (6, 1)

D → (3, 1)

Translation of the given rectangle by the vector [tex]\binom{-1}{5}[/tex] means, shifting of rectangle by 1 unit to the left and 5 units up.

So the rule which defines the translation of the vertices by the given vector is,

(x, y) → (x - 1, y + 5)

By this rule, after translation vertices of image rectangle will be,

A(3, 3) → A'(2, 8)

B(6, 3) → B'(5, 8)

C(6, 1) → C'(5, 6)

D(3, 1) → D'(2, 6)

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