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MCC9-12.G.CO.7 • MCC9-12.G.CO.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. What’s the Big Idea? • Two triangles are said to be congruent if one can be exactly superimposed on the other by a rigid motion. • In a pair of congruent triangles, corresponding sides are congruent and corresponding angles are congruent • In other words matching angles and sides. Grade Level Example • Students identify corresponding sides and corresponding angles of congruent triangles. • Explain that in a pair of congruent triangles, corresponding sides are congruent and corresponding angles are congruent. • Demonstrate that when distance is preserved (corresponding sides are congruent) and angle measure is preserved (corresponding angles are congruent) the triangles must also be congruent. Adapted from Illustrative Mathematics G.CO.8 Why does SSS Work? Grade Level Example • Are the following triangles congruent? Explain how you know. MCC9-12.G.CO.7 Unpacking the Standards • 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. Access Examples • Identify corresponding congruent parts of two triangles. • Match triangles by matching congruent sides and angles. • Choose matching triangle from a choice of two or more, and only one has corresponding sides and angles. Access Example • In making a kite, which triangles on the kite will match this triangle? Student must match the correct sides and angles.