M65

Line Segments

MathematicsGrade 12Grade 11Grade 10Grade 9

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Standards

  • CCSS.MATH.CONTENT.HSG.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.
  • CCSS.MATH.CONTENT.HSG.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).
  • CCSS.MATH.CONTENT.8.G.A.1.A — Lines are taken to lines, and line segments to line segments of the same length.
  • CCSS.MATH.CONTENT.HSG.CO.A.3 — Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
  • CCSS.MATH.CONTENT.HSN.CN.B.6 — (+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.
  • CCSS.MATH.CONTENT.HSG.CO.A.4 — Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
  • CCSS.MATH.CONTENT.HSG.CO.A.5 — 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.