Question

ABC has vertices A(–3, –4), B(1, 5), and C(4,1). ABC is translated so that B’ is located at point (–3, 2). State the coordinates of A’ and C’, where ABC is the translation of ABC .

Answer 1

If B went from (1, 5) to (-3, 2), that means it was shifted down 4 units and left 3 units. So for each of the other points, we subtract 4 from the x value, and subtract 3 from the y value. Point A is (-3, -4), moving this by subtracting 4 from x and 3 from y, we get A'(-7, -7). Point C was (4, 1), subtract 4 and 3, leaving C'(0, -2).
So A'(-3, -4), B'(-3, 2) and C'(0, -2)

Answer 2

A= (-7, -7)
B= (-3, 2)
C= (0, - 2)