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)?
100pts

Answer 1

The image of square LMNP after the translation is a new square with vertices (2, -2), (4, -2), (4, -4), and (2, -4).

Step-by-step explanation:

To find the image of square LMNP after a translation of (x, y) → (x + 5, y – 3), we need to apply the given translation to each vertex of square LMNP. Let's add 5 to the x-coordinate and subtract 3 from the y-coordinate of each vertex:

• Point L: (-3 + 5, 1 - 3) = (2, -2)
• Point M: (-1 + 5, 1 - 3) = (4, -2)
• Point N: (-1 + 5, -1 - 3) = (4, -4)
• Point P: (-3 + 5, -1 - 3) = (2, -4)

Therefore, the image of square LMNP after the translation is a new square with vertices (2, -2), (4, -2), (4, -4), and (2, -4).