The point Q(x,y) is reflected in the origin. Use arrow notation to describe the original point and its reflection.
I chose this:
(x,y) to (x,y)
Am I right?
LOL, no, but I think you mean (-x, -y)
not at all. Nothing changed.
reflection through the origin reverses the signs of x and y.
(x,y) -> (-x,-y)
You need to get some graph paper. Plot a point, and draw a line from it to the origin. Then extend the line an equal distance past the origin. At the end of that line is the reflection through the origin.
Whenever you need to do a reflection, draw a line from the point to whatever is acting as the "mirror." Then extend the line an equal distance past the mirror, and that is the image of the reflected point.
Ok I will thanks guys.
No, you are not correct. When a point is reflected in the origin, its x-coordinate and y-coordinate are both negated (multiplied by -1). So, the correct arrow notation for the reflection of point Q(x, y) would be:
(x, y) ⟶ (-x, -y)
The original point (x, y) is reflected to the point (-x, -y) by flipping it across both the x-axis and y-axis through the origin.