Question

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.

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

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

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

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

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

Answer 1

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Answer:

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

Explanation:

It is generally useful to compare the answer choices to the problem statement. Here, the problem statement gives two points with identical x-coordinates and opposite y-coordinates.

Any answer choice saying the signs of the x-coordinates are different can be rejected immediately.

It also can be useful to draw yourself a picture. If you plot the points, you can see that the x-axis bisects them. The reflection is not across the y-axis, so any answer choice saying it is can be rejected.

The appropriate description is ...

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