Experiment with transformations in the plane.
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Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.
Describe the rotational symmetry and lines of symmetry of two-dimensional figures.
Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.
Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.
Define angle, circle, perpendicular line, parallel line, line segment and ray based on the undefined notions of point, line, distance along a line and distance around a circular arc.
Investigate transformations in the plane.