Question

ABC has vertices A(1, 3), B(2, 5), and C(5, 3). What are the coordinates of B′ after the transformation (x, y) ⟶ (–y, x), then translation 1 unit right and 4 units up?

Answer 1

The coordinates of B' after the given transformations are (-4, 6).

Step-by-step explanation:

To find the coordinates of B' after the given transformations, let's first apply the transformation (x, y) ⟶ (-y, x). For point B(2, 5), the transformed coordinates will be (-5, 2).

Next, we perform the translation 1 unit right and 4 units up. Adding 1 to the x-coordinate and 4 to the y-coordinate of B', the final coordinates of B' will be (-5+1, 2+4), which is (-4, 6).

Answer 2

`(-4,6)`

Step-by-step explanation:

`(2,5) \to (-5,2) \to (-4,6)`