Common Core Math - HS Geometry

Lesson Plan

Prove theorems about lines

Goals / Objectives

Prove that vertical angles are congruent using the properties of linear pairs and supplementary angles

Prove that when a transversal crosses parallel lines, alternate interior angles are congruent

Prove that when a transversal crosses parallel lines, corresponding angles are congruent

Prove the Perpendicular Bisector Theorem: points on a perpendicular bisector of a segment are exactly those equidistant from the segment's endpoints

Construct logical proofs using both two-column and paragraph formats, citing definitions, postulates, and previously established theorems as justifications

Standards

HSG.CO.C.9

HSG.CO.C.9: 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.

Academic Vocabulary

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Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

Independent Practice

Lesson plan — Prove theorems about lines | K12worX