Question

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

(4, –5), what are the coordinates of B'?

(2, 3)
(1, –9)
(–3, –4)
(6, –13)

Answer 1

Ans: (6,-13)

Rationale:

Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)

Answer 2

(6,-13)

Explanation:

Given : Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8).

To Find: If the coordinates of the pre-image of point B are (4, –5), what are the coordinates of B'?

Solution:

Coordinates of B = (4, –5)

Translation Rule : (x, y) → (x + 2, y – 8)

So, (4,5)=(4+2,-5-8) =(6,-13)

So, B' =(6,-13)

Thus the coordinates of B' is (6,-13)

Hence Option D is correct.