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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.
Standard #: MAFS.912.G-CO.2.7Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Congruence
Cluster: Level 1: Recall
Cluster: Understand congruence in terms of rigid motions. (Geometry - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
Lesson Plans
  • Coding Geometry Challenge #23 & 24 This set of geometry challenges focuses on using transformations to show similarity and congruence of polygons and circles. Students problem solve and think as they learn to code using block coding software.  Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor.
  • Match That! Students will prove that two figures are congruent based on a rigid motion(s) and then identify the corresponding parts using paragraph proof and vice versa, prove that two figures are congruent based on corresponding parts and then identify which rigid motion(s) map the images.
  • Slip, Slide, Tip, and Turn: Corresponding Angles and Corresponding Sides Using the definition of congruence in terms of rigid motion, students will show that two triangles are congruent.
  • Exploring Congruence Using Transformations This is an exploratory lesson that elicits the relationship between the corresponding sides and corresponding angles of two congruent triangles.
  • Analyzing Congruence Proofs Students work on the concept of congruency whilst developing their understanding of proof in a geometric context. This lesson is intended to help students learn to:
    • Work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles.
    • Identify and understand the significance of a counterexample.
    • Prove, and evaluate proofs in a geometric context.
Problem-Solving Task
MFAS Formative Assessments
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