Question

(−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team: A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1. Which statement best describes the relationship between the positions of the two players? Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different. Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different. Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different. Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.

Answer 1

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Explanation:

Answer 2

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Explanation:

When you reflect a point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign: it becomes (-x, y).

Thus, if a point P, say, (7,5) is reflected across the y-axis, its reflection P' becomes(-7,5)