Congruence vs. Similarity

Congruence, similarity, and alikeness are ways to describe relationships between figures. While congruence and similarity are common geometric terms, the writer coins the term alikeness to include one-dimensional stretch transformations. Using the one-dimensional stretch as a transformation allows for the discussion of similarities among figures such as rectangles and squares.

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CCSS: Designed
Instructional Ideas

  • Incorporate as an introduction to similarity of two-dimensional figures
  • Use the formative assessment questions as an exit ticket to check for understanding
Classroom Considerations

  • Builds on pupils' understanding of congruence and transformations
Pros

  • Provides ideas for extension and accommodations
  • Includes an answer key and suggested questioning strategies
Cons

  • None
Common Core