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Resource Type
Common Core: Math
CCLS  Math: G.CO.9
 Category
 Congruence
 SubCategory
 Prove Geometric Theorems
 State Standard:
 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
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 In Topic G, students review material covered throughout the module. Additionally, students discuss the structure of geometry as an axiomatic system.

 The module closes with a return to constructions in Topic E (G.CO.13).

 Constructions segue into Topic B, Unknown Angles, which consists of unknown angle problems and proofs. These exercises consolidate students’ prior body of geometric facts and prime students’...

 Student Outcomes Students review the principles addressed in Module 1.

 Student Outcomes Students examine the basic geometric assumptions from which all other facts can be derived. Students review the principles addressed in Module 1.

 Student Outcomes Students examine the relationships created by special lines in triangles, namely medians.

 Student Outcomes Students examine the relationships created by special lines in triangles, namely midsegments.

 Student Outcomes Students write unknown angle proofs involving known facts.

 Student Outcome Students write unknown angle proofs involving auxiliary lines.

 Student Outcome Students write unknown angle proofs, which does not require any new geometric facts. Rather, writing proofs requires students to string together facts they already know to reveal...

 Student Outcome Students review formerly learned geometry facts and practice citing the geometric justifications regarding angles in a triangle in anticipation of unknown angle proofs.

 Student Outcomes Students review formerly learned geometry facts and practice citing the geometric justifications in anticipation of unknown angle proofs.

 Student Outcomes Students review formerly learned geometry facts and practice citing the geometric justifications in anticipation of unknown angle proofs.

 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...