Question

assume each figure shown has the same orientation. which figure is the image of square lmn p after a translation of (x, y) → (x + 5, y - 3)?

Explanation:

Step1: Analyze the translation rule

The translation rule is $(x,y)\to(x + 5,y-3)$. This means we shift each point of square LMNP 5 units to the right (because of $x+5$) and 3 units down (because of $y - 3$).

Step2: Consider a reference - point

Let's take point L of square LMNP. Suppose the coordinates of L are $(x_1,y_1)$. After translation, its new coordinates will be $(x_1 + 5,y_1-3)$.

Step3: Visualize the movement

Starting from square LMNP, moving 5 units right and 3 units down will lead us to square 4.

Answer:

Square 4