Question

Multiple similarity transformations are performed on a triangle. Which elements must be preserved?

orientation
side length
angle measure
overall size

Answer 1

Only the angle measures (and therefore the shape and the ratios of corresponding sides) are guaranteed to be preserved by similarity transformations.

Notes:
- Side lengths and overall size are not preserved in general (they change by the scale factor).
- Orientation is preserved only for direct similarities (no reflections). If a reflection is used, orientation is reversed.