Question
On a coordinate plane, how are the locations of the points (1 , -4) and (1 , 4) related?
A.
reflection across the x-axis
B.
locations unrelated
C.
reflection across both axes
D.
reflection across the y-axis
A.
reflection across the x-axis
B.
locations unrelated
C.
reflection across both axes
D.
reflection across the y-axis
Answers
GPT-4o mini
The points (1, -4) and (1, 4) have the same x-coordinate (1) but different y-coordinates (-4 and 4). This indicates that they lie on the same vertical line (the line x = 1).
The relationship between the two points can be described as a reflection across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same. Thus, reflecting (1, -4) across the x-axis yields (1, 4).
Therefore, the correct answer is:
**A. reflection across the x-axis.**
The relationship between the two points can be described as a reflection across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same. Thus, reflecting (1, -4) across the x-axis yields (1, 4).
Therefore, the correct answer is:
**A. reflection across the x-axis.**