Question

Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:

Answer 1

Given:

Player 1 is at (-7,5).

Player 2 is at (7,5).

To find:

The relationship between the positions of the two players.

Solution:

The two points are (-7,5) and (7,5).

Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.

The transformation is defined as

$(x,y)\to (-x,y)$

It means, the points are mirror image of each other with respect to y-axis.

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.

Therefore, the correct option is C.