Question

15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have produced that same final result in terms of the position of the person and the direction the person faces?

A. reflection over the north-south axis

B. rotation

C. translation

D. reflection over the west-east axis\

Answer 1

The transformation that could have produced the same final result is a rotation.

Step-by-step explanation:

The transformation that could have produced the same final result is rotation.

Let's analyze the movements of the person:

1. Walks east 20 paces
2. Turns and walks north 10 paces
3. Turns and walks west 25 paces
4. Turns and walks south 10 paces
5. Turns and walks east 15 paces
6. Stops

If the person walked in a square shape, the first two legs would form a 20x20 square and the last two legs would form a smaller 10x10 square within it. Since the person stopped at the same position after completing the squares, it indicates a rotation.

No other transformations, such as reflection or translation, would result in the same final position and facing direction.