Question

Points C and D 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 C is 1.5 units to the left and 3 units up. From the origin, point D is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players?

D is C reflected across the x-axis; only the signs of the x-coordinates are different for C and D.
D is C reflected across the x-axis; only the signs of the y-coordinates are different for C and D.
D is C reflected across the y-axis; only the signs of the x-coordinates are different for C and D.
D is C reflected across the y-axis; only the signs of the y-coordinates are different for C and D.

Answer 1

D is C reflected across the y-axis; only the signs of the x-coordinates are different for C and D.

Step-by-step explanation: I got this right on edge2021

Answer 2

We are given positions of the coordinates of C and D :

"From the origin, point C is 1.5 units to the left and 3 units up."

1.5 units left of the origin is x = negative 1.5 and 3 units up origin is y = 3.

Therefore, first coordinate on the axis is C(-1.5, 3).

"From the origin, point D is 1.5 units to the right and 3 units up."

1.5 units right of the origin is x = 1.5 and 3 units up origin is y = 3.

Therefore, second coordinate on the axis is D(1.5, 3).

We can see than x-coordinates of C and D are opposite in sign.

When we have x-coordinates opposite in sign, it would be reflection over y-axis.

Therefore, correct option is:

D is C reflected across the y-axis; only the signs of the x-coordinates are different for C and D.