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Basics of Geometry 9 Points, Lines, and Planes 9 Segments and Distance 19 Rays and Angles 25 Segments and Angles 32 Angle Pairs 39 Classifying Triangles 46 Classifying Polygons 52 Problem Solving in Geometry 61 Reasoning and Proof 71 Inductive Reasoning 71 Conditional Statements 77 Deductive Reasoning 82 Algebraic Properties 92 Diagrams 96 Two-Column Proof 101 Segment and Angle Congruence Theorems 105 Proofs About Angle Pairs 109 Parallel and Perpendicular Lines 116 Lines and Angles 116 Parallel Lines and Transversals 125 Proving Lines Parallel 133 Slopes of Lines 142 Equations of Lines 157 Perpendicular Lines 164 Perpendicular Transversals 170 Non-Euclidean Geometry 178 Congruent Triangles 186 Triangle Sums 186 Congruent Figures 195 Triangle Congruence using SSS 201 Triangle Congruence Using ASA and AAS 207 Proof Using SAS and HL 215 Using Congruent Triangles 222 Isosceles and Equilateral Triangles 231 Congruence Transformations 237 Relationships Within Triangles 248 Midsegments of a triangle 248 Perpendicular Bisectors in Triangles 253 Angle Bisectors in Triangles 265 Medians in Triangles 278 Altitudes in Triangles 285 Inequalities in Triangle
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