Question

Which statements are true for both translations and rotations? (can select more than one)

Side lengths are preserved.
Figure orientation is preserved.
Transformed figures are congruent.
Angle measures are preserved.
Resulting line segments are parallel.

Answer 1

When you rotate a figure:
- side lenghts are preseved
- figure orientation is changed (except if the rotation is 360° or there are special symmetries)
- figures are congruent (same lengths and same angle measures)
- Angle measures are preserved
- Resulting line segments do not have to be parallel

When you translate a figure:

- Side lengths are preserved
- Figure orientation is preserved
- Figures are congruent
- Angle measures are preserved
- Resulting line segments are parallel

Then the answer, what is valid for both kind of transformatons, is:

- Side lengths are preserved
- Transformed figures are congruent
- Angle measures are preserved