Question

On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1), (negative 3, negative 1). Square 1 has points (negative 6, 4), (negative 6, 6), (negative 4, 6), (negative 4, 6). Square 2 has points (negative 6, negative 4), (negative 6, negative 6), (negative 4, negative 4), (negative 4, negative 6). Square 3 has points (2, 2), (2, 4), (4, 4), (4, 2). Square 4 has points (2, negative 2), (4, negative 2), (4, negative 4), (2, negative 4).
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

Translate each vertex by (+5, −3):
(-3, 1) → (2, −2)
(-1, 1) → (4, −2)
(-1, −1) → (4, −4)
(-3, −1) → (2, −4)

These are the vertices of square 4, so the image is square 4.