Question

A triangle on a coordinate plane undergoes a translation according to the rule TLS, 4(x, y). Which of the following options presents an equivalent rule to describe this translation?

1.(x, y) – (x + 4, y - 8)
2.(x, y) = (x - 4, y - 8)
3.(x, y) – (x - 8, y + 4)
4.(x, y) - (x + 8, y - 4)

Answer 1

The correct equivalent rule to describe the translation of the triangle on a coordinate plane is (x, y) - (x - 8, y + 4).

Step-by-step explanation:

To describe the translation of the triangle on a coordinate plane according to the rule TLS, 4(x, y), we need to find an equivalent rule. The correct option is (3) (x, y) - (x - 8, y + 4).

This means that we need to subtract 8 from the x-coordinate and add 4 to the y-coordinate to translate the triangle. For example, if the original coordinates of a vertex of the triangle are (2, 3), the translated coordinates would be (2 - 8, 3 + 4) = (-6, 7).