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)?

Explanation:

Step1: Analyze the translation rule

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

Step2: Consider the coordinates of a vertex of LMNP

Let's assume a vertex of square LMNP has coordinates $(x_0,y_0)$. After translation, its new coordinates will be $(x_0 + 5,y_0-3)$.

Step3: Visual - check the figures

By observing the grid and applying the translation rule visually, we can see that the square should move 5 units right and 3 units down.

Answer:

4