Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.
G.CO.A.2
Given a rectangle, parallelogram, trapezoid, or regular polygon, determine the transformations that carry the shape onto itself and describe them in terms of the symmetry of the figure.
G.CO.A.3
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G.CO.A.4
Given a geometric figure, draw the image of the figure after a sequence of one or more rigid motions, by hand and using technology. Identify a sequence of rigid motions that will carry a given figure onto another.
G.MP1
Make sense of problems and persevere in solving them.
G.MP2
Reason abstractly and quantitatively.
G.MP3
Construct viable arguments and critique the reasoning of others.
G.MP5
Use appropriate tools strategically.
G.MP6
Attend to precision.
G.MP7
Look for and make use of structure.
G.MP8
Look for and express regularity in repeated reasoning.