Question 1: A shop displays a pair of sunglasses at coordinates (3, 5). If a customer swaps the coordinates for a reflection across y=x, where will the sunglasses be located?

Answer: (5, 3)

Question 2: Calculate the swapped coordinates of the point (−4, 6) for a reflection across y=x.

Answer: (6, -4)

Question 3: A person’s shopping list item is at (7, 2) on a coordinate grid representing aisles. After swapping coordinates, where will the item be located?

Answer: (2, 7)

Question 4: Plot the point (−3, 4) and its reflection across y=x on the grid. What are the coordinates of the reflected point?

Answer: (4, -3)

Question 5: A customer’s shopping cart is at (5, -2). If the cart’s position is reflected across y=x, what are the new coordinates?

Answer: (-2, 5)

Question 6: In a store layout, a sale sign is at (−6, 3). After reflecting across y=x, at which coordinates will the sign be placed?

Answer: (3, -6)

Question 7: A reflection across y=x swaps the coordinates of a point. Given a point (x, y), write the formula for its reflected point.

Answer: (y, x)

Question 8: A shopper’s coupon code is associated with the coordinate (8, −1). After a reflection across y=x, what is the new coordinate?

Answer: (-1, 8)

Question 9: A store's promotional point is at (−2, -7). What are the swapped coordinates after reflection across y=x?

Answer: (-7, -2)

Question 10: Identify and correct the mistake in this student answer: The point (4, 9) reflected across y=x is at (4, 9).

Answer: The correct reflection swaps the coordinates, so it should be (9, 4).

Question 11: A reflection across y=x is used to find a new location for a product. The original point is at (−5, 3). What are the swapped coordinates, and how could this help in organizing the store?

Answer: Swapped coordinates are (3, -5). This helps in organizing products by aisle, making it easier for staff and customers to locate items quickly.