Sunday, November 1, 2009


The distances of the reflected shape and the original shape remain the same from point to point.

No matter where are vertex is, the angles of both shapes are still equal.

When animated, the distances between AD and A'D remain the same.

All the distances in pairs (eg AD and A'D) are all the same.

Angles are invariant under a reflection.
The lengths of the sides of an object are invariant under a reflection.
Points on the mirror line are invariant under a reflection.


I have found that all angles and all distances and measurements were invariant between original shapes and reflected shapes everything was the same except that the shape was reversed.





Reflection: F, Tree, and Shape.

Reflection: Triangle


The labeling system shows that when you mirror the object the labeled points are reversed.

When the mirror line passes through the base of the original triangle, the mirrored triangle is partially inside the original one

When a point of the original object is on the mirror line, it is called an invariant point.