Question

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x+4, y−6). Triangle ABC on the coordinate plane with the ordered pairs for A as 1, 5, B as negative 1, 2, and C as 3, 1. Which coordinates will best represent point C'? (−3, 5) (9, −3) (−1, 7) (7, −5)

Answer 1

Answer:  (7, −5)

Step-by-step explanation:

Given: Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x+4, y−6).

Triangle ABC on the coordinate plane with the ordered pairs for A(1,5), B(1,2) and C(3,1).

By using the above rule , the coordinates of point C' will be :

$C(3,1)\rightarrow C'(3+4,1-6)=C'(7,-5)$

Hence, the coordinates of point C' is (7,-5).

Answer 2

Before translation, coordinate C was: (3, 1)
Now, Translation factor is: (x, y) → (x+4, y−6).

So, Coordinates of C' = (3 + 4, 1 - 6) = (7, -5)

In short, Your Answer would be Option D

Hope this helps!