Question

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.

Answer 1

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and that proportion of the sides and angles are not changed.