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Transcript
Unit 1C: Geometric Reasoning and Proofs □ I can identify and name important building blocks of geometry. □ I will identify and name points, lines, planes, rays, and line segments. □ I will use symbolic notation to describe points, lines, planes, rays, and line segments. □ I can use special angles and postulates related to special angles. □ I will calculate the complement and supplement of an angle. □ I will classify adjacent angles, linear pairs, and vertical angles. □ I will classify alternate interior and exterior angles and same side interior and exterior angles. □ I will calculate the measures of angles using intersecting and parallel line properties. □ I can complete proofs of geometric theorems. □ I will use the addition and subtraction properties of equality. □ I will use the reflexive, substitution, and transitive properties. □ I will complete paragraph, two-column, and flow chart proofs. □ I will prove theorems involving angles. □ I will understand the difference between inductive and deductive reasoning. □ I will use the Corresponding Angles Postulate. □ I will prove theorems involving angles formed by parallel lines cut by a transversal. Key Vocabulary Terms adjacent angles line segment alternate exterior angles linear pair alternate interior angles paragraph proof collinear points plane complementary angles point congruent line segments postulate conjecture ray corresponding angles same side exterior angles deductive reasoning same side interior angles endpoint of a line segment supplementary angles endpoint of a ray theorem flow chart proof two-column proof inductive reasoning vertical angles line Properties, Postulates, and Theorems Addition Property of Equality Alternate Exterior Angle Theorem Alternate Interior Angle Theorem Angle Addition Postulate Congruent Complement Theorem Congruent Supplement Theorem Corresponding Angles Postulate Linear Pair Postulate Reflexive Property Right Angle Congruence Theorem Same Side Exterior Angles Theorem Same Side Interior Angle Theorem Segment Addition Postulate Substitution Property Subtraction Property of Equality Transitive Property Vertical Angles Theorem Unit 1C Pacing Guide on reverse side Note: Your teacher reserves the right to alter this plan as needed. Date Wed 9/28 Thurs 9/29 Fri 9/30 Mon 10/3 Tues 10/4 Wed 10/5 Thurs 10/6 Fri 10/7 Mon 10/10 Tues 10/11 Lesson Focus Tools of Geometry Types of Angles Properties and Proofs Constructing a Proof Angles on Parallel Lines cut by a Transversal Inductive and Deductive Reasoning Introduction to Geometric Proofs Gallery Walk Review Geometric Reasoning and Proofs Quiz on Geometric Reasoning and Proofs Homework