Question

Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x 5, y – 3)?

Answer 1

The image of square LMNP after a translation of (x, y) → (x 5, y – 3) is square 4

Translation is a geometrical term of a way of moving an object from a location on the xy-plane to another.

The coordinate LMNP as shown are:

• L (-3, 1)

• M = (-1, 1)  

• N = (-1, -1)  

• P = (-3, -1)

Moving the object using the translation rule, the new coordinate will be at L'M'N'P'

L' = (-3 + 5, 1 - 3) = (2, -2)

M' = (-1 + 5, 1 - 3) = (4, -2)

N' = (-1 + 5, -1 - 3) = (4, -3)

P' = (-3 + 5, -1 - 3) = (2, -4)

Locating the coordinates on the xy-plane, we can see that the image of square 4. Hence the image of square LMNP after a translation of (x, y) → (x 5, y – 3) is square 4