Standards Map

Mathematics > Course Model Geometry (Traditional Pathway) > Similarity, Right Triangles, and Trigonometry
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Mathematics | Course : Model Geometry (Traditional Pathway)

Domain - Similarity, Right Triangles, and Trigonometry

Cluster - Prove theorems involving similarity.

[GEO.G-SRT.B.5] - Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

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).

Predecessor Standards:

  • 7.G.B.5
    Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write simple equations and use them to solve for an unknown angle in a figure.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • GEO.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.
  • GEO.G-SRT.A.3
    Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.
  • GEO.G-GPE.B.5
    Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
  • PC.F-TF.C.9
    (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
  • AQR.F-TF.C.9
    (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.