Proving Congruence Using Corresponding Parts

Translate, reflect, and rotate one triangle onto another. Given two triangles with corresponding parts, individuals use properties of rigid transformations to show the two triangles are congruent. Pupils show that after a series of transformations, the vertices of both triangles line up  proving the two triangles are congruent.

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CCSS: Designed
Instructional Ideas

  • Provide opportunities for class members to describe transformations
  • Create groups to discuss a plan to show the two triangles are congruent
Classroom Considerations

  • The class should know properties of rigid transformations
Pros

  • Includes descriptions of work at different levels of understanding
  • Provides instructional strategies based on misconceptions
Cons

  • None
Common Core