10.4-10.7 Terms

a transformation that preserves distance

• glide reflection

• translation

• isometry

• composition of isometries

also known as rigid transformations

• glide reflection

• translation

• isometry

• composition of isometries

the composition of a translation followed by a reflection in a line parallel to the translation vector.

• glide reflection

• translation

• isometry

• composition of isometries

every isometry can be expressed as a composition of at most three reflections

• isometry

• glide reflection

• composition of reflections

• isometry theorem

If the isometry maps the figure onto itself

• line of symmetry

• axis of symmetry

• line symmetry

• symmetry

when you reflect one side of the figure across a drawn line and it coincides with the other side, this line is called...

• line of symmetry

• axis of symmetry

• line symmetry

• symmetry

when the isometry is a reflection

• line of symmetry

• axis of symmetry

• line symmetry

• symmetry

can be mapped onto itself using a rotation with a magnitude less than or equal to 180*

• rotational symmetry

• order of symmetry

• magnitude of rotational symmetry

• point symmetry

the number of distinct rotations of degree, that align all points in a figure with rotational symmetry

• rotational symmetry

• order of symmetry

• magnitude of rotational symmetry

• point symmetry

the smallest angle of rotation for which a figure will be mapped onto itself

• rotational symmetry

• order of symmetry

• magnitude of rotational symmetry

• point symmetry