Question

If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x − 1, y + 1) to create trapezoid J″K″L″M″, what is the location of L″?

Answer 1

The location of L″ is (x + 2, y - 2).

Step-by-step explanation:

When a trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x − 1, y + 1) to create trapezoid J″K″L″M″, the location of L″ can be found by applying the translation rules to the coordinates of L. Let's assume the original coordinates of L are (x, y). Applying the first translation rule, the new coordinates become (x + 3, y - 3). Then, applying the second translation rule, the final coordinates become (x + 3 - 1, y - 3 + 1), which simplifies to (x + 2, y - 2). Therefore, the location of L″ is (x + 2, y - 2).