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 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 a vertex of square LMNP, say the top - left vertex. If we apply the translation to it, moving 5 units right and 3 units down will place the square in the position of figure 4.

Answer:

Figure 4