Geometric Transformations and Symmetry

Vocabulary flashcards covering the definitions and concepts of geometric transformations and symmetry as described in the lecture.

Symmetry

A property where one side of an object matches the other in some way, such that the object looks the same after being flipped, folded, or rotated.

Reflectional symmetry

Occurs when a line can be drawn through a shape and both halves match perfectly, as if the shape were folded or sliced into two twin pieces.

Line of symmetry

The specific line drawn through a shape that results in both halves matching perfectly.

Reflection

A geometric transformation where a figure is flipped across a specific line to create a mirror image that maintains its original size and shape.

Line of reflection

The line across which a figure is flipped during a reflection.

Rotational symmetry

Occurs when a shape still looks the same after it is turned or spun on a spinner.

Angle of rotation

The specific degree measurement, such as $72^{\circ}$ for a 5-pointed star, that a shape is turned to look the same.

Order of rotation symmetry

The number of different positions a shape fits on top of itself as it is rotated around its center.

Translational symmetry

A type of symmetry where a pattern repeats as it slides in a straight line without flipping or turning.

Point symmetry

A form of symmetry where every part of a shape has a matching part on the opposite side of a central point; the shape looks exactly the same after a $180^{\circ}$ turn.