Glide Reflection, Rotational, and Translation Symmetry

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

• glide reflection

• translation

• isometry

• composition of isometries

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

• J"(0,6), K"(1,-3), L"(3,5)

• J"(3,1), K"(2,-2), L"(0,0)

• J"(10,6), K"(9,3), L"(7,5)

• J"(-5,1), K"(-4,-2), L"(-2,0)

Which rotation(s) maps the figure onto itself? Select all that apply

Which of the following can be described as a single translation, rotation or reflection instead of a composition of rigid motions? (Select all that apply)

Find the glide reflection image of the black triangle where the translation is (x, y) -> (x, y-7) and the line of reflection is x = 1.

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Which type of isometry is the equivalent of two reflections across intersecting lines?

• Glide Reflection

• Rotation

• Reflection

• Translation

Identify the transformation JIG -> DEF.

• Rotation 180* about (1, 4)

• Glide Reflection 8 to the right and reflect across y = 4

• Reflection about x = 5

• Rotation 180* about (0, 0)

What is the central angle (for rotational symmetry) of a regular hexagon?

• 30 degrees

• 60 degrees

• 72 degrees

• 120 degrees