Question

Triangle XYZ has vertices ( X(2,3) ), ( Y(5,6) ), and ( Z(8,6) ). What rule can be used to find the new coordinates of point X if the triangle is translated 6 units down and 4 units to the right?

Answer 1

To find the new coordinates of point X after a translation, add 4 to the x-coordinate and subtract 6 from the y-coordinate, resulting in the new position (6, -3).

Step-by-step explanation:

The rule that can be used to find the new coordinates of point X if the triangle is translated 6 units down and 4 units to the right is to add 4 to the x-coordinate and subtract 6 from the y-coordinate of point X.

For point X at (2,3), this translates to adding 4 to the x-coordinate (2 + 4 = 6) and subtracting 6 from the y-coordinate (3 - 6 = -3).

Therefore, the new position of point X after the transformation will be (6, -3).