HS.G-CO

HS.G-CO

HS.G-CO.1Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, and plane.HS.G-CO.10Prove and apply theorems about triangle properties.HS.G-CO.11Prove and apply theorems about parallelograms.HS.G-CO.12Make basic geometric constructions with a variety of tools and methods.HS.G-CO.13(+)Apply basic constructions to create polygons such as equilateral triangles, squares, and regular hexagons inscribed in circles.HS.G-CO.2Represent transformations in the plane. 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).HS.G-CO.3Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.HS.G-CO.4Develop or verify experimentally the characteristics of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.HS.G-CO.5Given 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.HS.G-CO.6Use geometric descriptions of rigid motions to predict the effect of a given rigid motion on a given figure. Use the definition of congruence in terms of rigid motions to decide if two figures are congruent.HS.G-CO.7Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.HS.G-CO.8Prove two triangles are congruent using the congruence theorems such as ASA, SAS, and SSS.HS.G-CO.9Prove and apply theorems about lines and angles.
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