Question

Given the vertices of triangles QRS and Q'R'S', what is the translation rule?

a) T(x, y) → (x + 3, y - 1)
b) T(x, y) → (x - 3, y + 1)
c) T(x, y) → (x + 1, y - 5)
d) T(x, y) → (x - 1, y + 5)

Answer 1

To determine the correct translation rule for triangles QRS and Q'R'S', corresponding vertices' coordinates are required. With them, the translation rule involves subtracting the coordinates of the original vertex from the translated vertex. Without this data, the specific translation rule cannot be ascertained.

Step-by-step explanation:

To determine the translation rule for the given triangles QRS and Q'R'S', we need the coordinates for at least one corresponding pair of vertices from the two triangles. However, these have not been provided in the question. Typically, we'd find the difference in the x-coordinates and the y-coordinates of corresponding vertices to determine the translation.

For example, if Q has coordinates (x1, y1) and Q' has coordinates (x2, y2), the translation rule would be T(x, y) → (x + (x2 - x1), y + (y2 - y1)).

Without the coordinates of the vertices, we cannot ascertain which of the provided options (a, b, c, d) is the correct translation rule. The correct method, however, involves comparing corresponding vertices from the pre-image and image to find the horizontal and vertical changes.