Standards Map

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.

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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).

MCAS Items:
• 2023 Spring Release - Mathematics - Grade 10 - Item 26
• 2022 Spring Release - Mathematics - Grade 10 - Item 3
• 2022 Spring Release - Mathematics - Grade 10 - Item 22
• 2021 Spring Release - Mathematics - Grade 10 - Item 24
• 2019 Spring Release - Mathematics - Grade 10 - Item 34

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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.

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Successor Standards:

No Successor Standards found.

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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.