G-CO.2.7

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.

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Students are given two congruent triangles and asked to determine the corresponding side lengths and angle measures and to use the definition of congruence in terms of rigid motion to justify their reasoning.
Congruence Implies Congruent Corresponding Parts
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Students are asked to prove two triangles congruent given that all pairs of corresponding sides and angles are congruent.
Proving Congruence Using Corresponding Parts
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Students are asked to use the definition of congruence in terms of rigid motion to show that two triangles are congruent in the coordinate plane.
Showing Triangles Congruent Using Rigid Motion
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This lesson provides a real-life context for transformations including rotations, reflections, and translations which are the foundation for how the Common Core State Standards require students to understand congruence and similarity. Rather than begin the lesson by defining the terms and identifying them in the game, the goal is to let students initially describe the movements in their own words and then guide them towards a mathematically precise definition.
How Did They Make Ms. Pac-Man?
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The goal of this task is to understand how congruence of triangles, defined in terms of rigid motions, relates to the corresponding sides and angles of these triangles.
Properties of Congruent Triangles
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