Question

Triangle MUG has coordinates M(7,-4) and U(2,8) and G(4,1) translation maps point M to M'(1,-2). What are the coordinates of U' and G' for this​ translation?

Answer 1

The coordinates of U' are (-1, -10) and the coordinates of G' are (-3, -3).

Step-by-step explanation:

To find the coordinates of U' and G' for the translation of Triangle MUG, we need to find the displacement vectors from the original points to their corresponding points after the translation.

For point U, we can calculate the displacement vector as follows:

Displacement vector U' = (x-coordinate of U' - x-coordinate of U, y-coordinate of U' - y-coordinate of U)

Substituting the given coordinates, we get:

U' = (1 - 2, -2 - 8) = (-1, -10)

Similarly, for point G, we can calculate the displacement vector as follows:

Displacement vector G' = (x-coordinate of G' - x-coordinate of G, y-coordinate of G' - y-coordinate of G)

Substituting the given coordinates, we get:

G' = (1 - 4, -2 - 1) = (-3, -3)