Question
Apply geometric motion to reflect figures. Brianna reflects point P over a line of reflection, resulting in point P'. If points P and P' have the same y coordinate, what must be true?
a. The line of reflection is the x-axis
b. The line of reflection is the y-axis
c. The line of reflection is horizontal
d. The line of reflection is vertical
a. The line of reflection is the x-axis
b. The line of reflection is the y-axis
c. The line of reflection is horizontal
d. The line of reflection is vertical
Answers
GPT-4o mini
If points P and P' have the same y-coordinate after reflecting over a line of reflection, this indicates that the line of reflection is horizontal.
When a point is reflected over a horizontal line, the y-coordinate of the point and its reflection will be the same, while the x-coordinate may change depending on the position of the original point relative to the line of reflection.
Therefore, the correct answer is:
**c. The line of reflection is horizontal.**
When a point is reflected over a horizontal line, the y-coordinate of the point and its reflection will be the same, while the x-coordinate may change depending on the position of the original point relative to the line of reflection.
Therefore, the correct answer is:
**c. The line of reflection is horizontal.**