Lesson plan

Prove and apply that the diagonals of a parallelogram bisect each other by using congruent triangles

teaches Common Core State Standards CCSS.Math.Content.HSG-CO.C.11 http://corestandards.org/Math/Content/HSG/CO/C/11

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Big Ideas: Congruent triangles can be used to prove properties of parallelograms. In this lesson students will observe that the diagonals of a parallelogram bisect each other. They will use their knowledge of congruent triangles and transversals to formally prove this observation. Vocabulary: parallelogram, opposite angles, opposite sides, congruent, congruent triangles, bisect Special Materials: Parallelograms for students to cut out, measure, etc. Scissors Rulers Protractors Graph Paper (optional)