Properties of Parallelograms

Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to provide the given and statement to prove.

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CCSS: Designed
Instructional Ideas

  • Create collaborative groups to complete the initial proofs
  • If groups need a hint, advise them of the triangles that needed to be proven congruent
Classroom Considerations

  • Pupils should be comfortable with triangle congruence proofs before this lesson
  • Review of properties of quadrilaterals may be necessary

  • Focuses on an application of triangle congruence
  • Instructional guidance is provided

  • None