Is Collinearity Preserved Under a Reflection?

collinearity (points remain on the same lines)
The orientation (lettering around the outside of the figure), is not preserved. The order of the lettering in a reflection is reversed (from clockwise to counterclockwise or vice versa).

Do reflections preserve collinearity?

Rigid motions preserve collinearity. Reflections, rotations, and translations are all rigid motions. So, they all preserve distance, angle measure, betweenness, and collinearity.

Which is preserved for a reflection?

the perpendicular distance of the object point to the mirror is equal to the perpendicular distance of its image from the mirror line. Reflection preserve the distance between two points.

Maya Lin-Takahashi

Maya Lin-Takahashi

Consumer Tech & Gadget Reviewer

Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.