Point Reflection Calculator

How the reflection changes coordinates

Across the x-axis, the point keeps its x-value and flips the sign of y.

Across the y-axis, the point keeps its y-value and flips the sign of x.

Across the line y = x, the coordinates swap places because the point trades horizontal and vertical distance.

If the point already sits on the mirror line, the reflected point stays the same.
Opposite points across an axis stay the same distance from that axis.
Use the graph to confirm the image point lands symmetrically across the selected line.

Reflect points and polygons across the x-axis, y-axis, y=x, y=-x, or the origin.

Easily calculate the translated coordinates of a point in 2D or 3D space using a translation vector.

Easily calculate the standard form equation of a hyperbola given its center, semi-transverse axis, and semi-conjugate axis.