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MAT-10.GM.07

BPSS-MAT-GM logo 10th Grade (MAT) Targeted Standard  
  (GM) Geometry and Measurement
Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.
MAT-10.GM.07 Use the definition of congruence, based on rigid motions, to show two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent.

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Progressions

Congruence and Similarity

  • MAT-08.GM.GF.01 Perform single transformations to a figure on or off the coordinate plane and determine whether the figures are congruent or similar.
  • MAT-08.GM.GF.02 Describe the characteristics of transformations on the coordinate plane using transformation language.
  • MAT-10.GM.07 Use the definition of congruence, based on rigid motions, to show two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent.
  • MAT-10.GM.08 Prove two triangles are congruent using the congruence theorems.
  • MAT-10.GM.17 Apply knowledge of congruence and similarity criteria for triangles to solve problems and prove relationships in various geometric figures.

» MAT-10 Standards