West Virginia College and Career Readiness Standards
Understand congruence and similarity using physical models, transparencies, or geometry software.
M.8.16. Verify experimentally the properties of rotations, reflections and translations:
M.8.16.a. Lines are taken to lines, and line segments to line segments of the same length.
M.8.16.b. Angles are taken to angles of the same measure.
M.8.16.c. Parallel lines are taken to parallel lines.
M.8.17. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
WV.M.1HS8. 8th Grade High School Mathematics I
Congruence, Proof, and Constructions
Experiment with transformations in the plane.
M.1HS8.49. 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.
M.1HS8.50. Represent transformations in the plane using, example, 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).
M.1HS8.51. Given a rectangle, parallelogram, trapezoid or regular polygon, describe the rotations and reflections that carry it onto itself.
M.1HS8.52. Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.
M.1HS8.53. Given a geometric figure and a rotation, reflection or translation draw the transformed figure using, e.g., graph paper, tracing paper or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Understand congruence in terms of rigid motions.
M.1HS8.54. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.