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Resource Type
Common Core: Math
CCLS  Math: G.CO.7
 Category
 Congruence
 SubCategory
 Understand Congruence In Terms Of Rigid Motions
 State Standard:
 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.
12 Results

 In Topic G, students review material covered throughout the module. Additionally, students discuss the structure of geometry as an axiomatic system.

 In Topic D, Proving Properties of Geometric Figures, students use what they have learned in Topics A through C to prove properties—those that have been accepted as true and those that are new—of...

 Topic C, Transformations, builds on students’ intuitive understanding developed in Grade 8. With the help of manipulatives, students observed how reflections, translations, and rotations behave...

 Student Outcomes Students complete proofs requiring a synthesis of the skills learned in the last four lessons.

 Student Outcomes Students complete proofs requiring a synthesis of the skills learned in the last four lessons.

 Student Outcomes Students learn why any two triangles that satisfy the SAA or HL congruence criteria must be congruent. Students learn why any two triangles that meet the AAA or SSA criteria are not...

 Student Outcomes Students learn why any two triangles that satisfy the ASA or SSS congruence criteria must be congruent.

 Student Outcomes Students examine two different proof techniques via a familiar theorem. Students complete proofs involving properties of an isosceles triangle.

 Student Outcomes Students learn why any two triangles that satisfy the SAS congruence criterion must be congruent.

 Student Outcomes Students practice applying a sequence of rigid motions from one figure onto another figure in order to demonstrate that the figures are congruent.

 Student Outcomes Students will understand that a congruence between ﬁgures gives rise to a correspondence between parts such that corresponding parts are congruent, and they will be able to state the...

 Geometry Module 1: Congruence, Proof, and Constructions Module 1 embodies critical changes in Geometry as outlined by the Common Core. The heart of the module is the study of transformations and the...