Mathematics | Course : Model Geometry (Traditional Pathway)
Domain - Congruence
Cluster - Experiment with transformations in the plane.
[GEO.G-CO.A.1] - Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
[GEO.G-CO.A.4] -
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
[GEO.G-CO.D.12] -
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Constructions include: copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
[GEO.G-CO.D.13] -
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
[AII.F-TF.A.1] -
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
[MI.G-CO.A.2] -
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).