Question

The vertices of AABC are A(4, -5), B(-3, - 2), and C(3,4). For the translation below, give the vertices of A'B'C'. T(-5,3(AABC) The vertices of AA'B'C' are A and C (Simplify your answers. Type ordered pairs.)

Answer 1

A' (-1, -2)

B' (-8, 1)

C' (-2, 7)

Step-by-step explanation

A translation represented by a row matrix in form T (a, b) moves the x-coordinate by a units and the y-coordinate by b units. So, a coordinate given by A (x, y) and translated by T (a, b), changes the coordinates to A' (x + a, y + b)

So, for this question, where the coordinates are given, and the translation is by T (-5, 3), the new coordinates become

A (4, -5) = A' (4 - 5, -5 + 3) = A' (-1, -2)

B (-3, -2) = B' (-3 - 5, -2 + 3) = B' (-8, 1)

C (3, 4) = C' (3 - 5, 4 + 3) = C' (-2, 7)

Hope this Helps!!!