Question

The transformation (x, y) to (x+4, y-3) is preformed on the line segment AB. The image is the line segment A'B' where point A' = (3, -3) and point B' = (5, -3). What are the coordinates of A and B in line segment AB?

A) A = (-1, 6), B = (1, -6)
B) A = (-1, 0), B = (1, 0)
C) A = (7, 6), B = (9, -6)
D) A = (7, 0), B = (9, 0)

Answer 1

B) A = (-1, 0), B = (1, 0)

Explanation:

If the transformation of AB to A'B' is (x+4, y-3),

then the transformation of A'B to AB is the reverse: (x-4, y+3)

Given

A' = (3, -3) → A = (3-4, -3+3) = (-1, 0)

B' = (5, -3) → B = (5-4, -3+3) = (1, 0)

Therefore:

A = (-1, 0), B = (1, 0)