Question

Points A and B on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point A is located 1 unit to the left and 3.5 units down. From the origin, point B is located 1 unit to the right and 3.5 units down. Which statement best describes the relationship between the positions of the two midfield players? B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different. B is A reflected across the y-axis; only the signs of the y-coordinates of A and B are different. B is A reflected across the x-axis; only the signs of the x-coordinates of A and B are different. B is A reflected across the x-axis; only the signs of the y-coordinates of A and B are different.

Answer 1

Point B is Point A reflected across the y-axis.

Explanation:

Answer 2

B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.

Explanation:

When a point is reflected across the y-axis, the x-coordinate of the point is negated. Algebraically,

(x, y)→(-x, y)

Point A is located at (-1, -3.5) and point B is located at (1, -3.5). The only difference between the two points is that the x-coordinate is negated; this means it is a reflection through the y-axis.