Question

Triangle ABC in the xy-plane above will be translated 3 units to the right and then 2 units down. What point will correspond to vertex A after these translations?

1) (-1, -1)
2) (-1, 0)
3) (0, 0)
4) (0, -1)
5) (1, 1)

Answer 1

To find the point that corresponds to vertex A after the translations, add 3 to the x-coordinate and subtract 2 from the y-coordinate.

Step-by-step explanation:

To find the point that corresponds to vertex A after the translations, we need to apply the translations to the coordinates of vertex A. Vertex A is initially located at (x, y). After translation of 3 units to the right, the x-coordinate will increase by 3, so the new x-coordinate will be (x + 3). After translation of 2 units down, the y-coordinate will decrease by 2, so the new y-coordinate will be (y - 2).

Therefore, the point that corresponds to vertex A after the translations will be (x + 3, y - 2).