geometry software. Specify a 4.4 Congruence and Transformations sequence of transformations that will 4.6 Similarity and Transformations carry a given figure onto another. 5.3 Proving Triangle Congruence by SAS 5.5 Proving Triangle Congruence by SSS 5.6 Proving Triangle Congruence by ASA and AAS Understand congruence in terms of Geometry - Congruence Reflect on Background Knowledge Illustrative Mathematics rigid motions 4.1 Translations G.CO.6 Use geometric descriptions of 4.2 Reflections rigid motions to transform figures and Use rigid motion to map 4.3 Rotations to predict the effect of a given rigid corresponding parts of congruent 4.4 Congruence and Transformations Illuminations motion on a given figure; given two triangle onto each other. figures, use the definition of congruence in terms of rigid motions Explain triangle congruence in terms to decide if they are congruent. of rigid motions. Teaching Channel 5.2 Congruent Polygons G.CO.7 Use 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. G.CO.8 Explain how the criteria for 5.3 Proving Triangle Congruence by SAS triangle congruence (ASA, SAS, and 5.5 Proving Triangle Congruence by SSS) follow the definition of SSS congruence in terms of rigid motions. 5.6 Proving Triangle Congruence by ASA and AAS 2.5 Prove geometric theorems Geometry - Congruence Illustrative Mathematics G.CO.9 Prove theorems about lines 2.6 Prove theorems about lines and angles, 3.2 Parallel Lines and Transversals and angles. Theorems include: vertical triangles; and parallelograms. 3.3 Proofs with Parallel Lines Mars Task: angles are congruent; when a 3.4 Proofs with Perpendicular Lines transversal crosses parallel lines, 4.1 Translations
geometry software. Specify a sequence of transformations that will carry a given figure onto another. 4.4 Congruence and Transformations 4.6 Similarity and Transformations 5.3 Proving Triangle Congruence by SAS 5.5 Proving Triangle Congruence by SSS 5.6 Proving Triangle Congruence by ASA and AAS Understand congruence in terms of rigid motions Use rigid motion to map corresponding parts of congruent triangle onto each other. Explain triangle congruence in terms of rigid motions. Geometry - Congruence G.CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. G.CO.7 Use 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. G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow the definition of congruence in terms of rigid motions. Reflect on Background Knowledge 4.1 Translations 4.2 Reflections 4.3 Rotations 4.4 Congruence and Transformations 5.2 Congruent Polygons 5.3 Proving Triangle Congruence by SAS 5.5 Proving Triangle Congruence by SSS 5.6 Proving Triangle Congruence by ASA and AAS Illustrative Mathematics Illuminations Teaching Channel Prove geometric theorems Prove theorems about lines and angles, triangles; and parallelograms. Geometry - Congruence G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, 2.5 2.6 3.2 Parallel Lines and Transversals 3.3 Proofs with Parallel Lines 3.4 Proofs with Perpendicular Lines 4.1 Translations Illustrative Mathematics Mars Task:
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