Standards Map

Mathematics > Course Model Geometry (Traditional Pathway) > Congruence
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Mathematics | Course : Model Geometry (Traditional Pathway)

Domain - Congruence

Cluster - Experiment with transformations in the plane.

[GEO.G-CO.A.4] - Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

Resources:


  • Reflection
    A type of transformation that flips points about a line, called the line of reflection. Taken together, the image and the pre-image have the line of reflection as a line of symmetry.
  • Rotation
    A type of transformation that turns a figure about a fixed point, called the center of rotation.
  • Translation
    A type of transformation that moves every point in a graph or geometric figure by the same distance in the same direction without a change in orientation or size.
  • Experimenting With Congruency Transformations In Geometry

Predecessor Standards:

  • 8.G.A.1.a
    Lines are transformed to lines, and line segments to line segments of the same length.
  • 8.G.A.1.b
    Angles are transformed to angles of the same measure.
  • 8.G.A.1.c
    Parallel lines are transformed to parallel lines.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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.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).
  • GEO.G-CO.A.5
    Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.