A point (3, 4) is reflected in the line y = x and then translated by the vector (2, -1). What are the coordinates of the final image?
Answer and explanation
Correct answer: C. (6, 2)
- Step 1: Reflection in y = x swaps the coordinates: (3, 4) goes to (4, 3). Step 2. Translation by (2, -1) gives (4 + 2, 3 - 1) = (6, 2). Answer: (6, 2). Why not the others: (5, 3): That translates without reflecting first. (4, 3): That reflects, but the translation was left out. (3, 5): That translates first and then reflects.
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