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Mathematics > Course Model Mathematics I (Integrated Pathway) > Congruence
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Congruence

Cluster - Understand congruence in terms of rigid motions.

[MI.G-CO.B.7] - Use 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.

Resources:


  • Congruent
    Two plane or solid figures are congruent if one can be obtained from the other by rigid motion (a sequence of rotations, reflections, and translations).
  • Rigid motion
    A transformation of points in space consisting of a sequence of one or more translations, reflections, and/or rotations. Rigid motions are here assumed to preserve distances and angle measures.

Predecessor Standards:

  • 8.G.A.2
    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.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.G-CO.B.6
    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.
  • MI.G-CO.B.8
    Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.