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Geometry: Midterm Topics CHAPTER 1: Essentials of Geometry Identify points, lines, and planes Use midpoint and distance formulas Classify angles (acute, right, obtuse, straight) Angle pair relationships (complementary, supplementary, adjacent, linear pair, vertical) Classify polygons (triangle, quadrilateral, pentagon, hexagon, … dodecagon) Perimeter, Circumference, Area CHAPTER 2: Reasoning and Proof Inductive/Deductive Reasoning Conditional Statements (“if…then…”) Converse, Inverse, Contrapositive, and Biconditional statements Proofs involving segments and angles CHAPTER 3: Parallel and Perpendicular Lines Identify pairs of lines (parallel, skew, perpendicular) Identify pairs of angles (corresponding, AIA, AEA, SSIA) Parallel lines cut by a transversal Slopes Writing equations of lines Graphing equations of lines Proofs involving parallel or perpendicular lines CHAPTER 4: Congruent Triangles Triangle Sum Theorem (180°) Use SSS, SAS, ASA, AAS, HL to prove triangles congruent Isosceles and equilateral triangles CHAPTER 5: Relationships within Triangles Midsegment Theorem Perpendicular Bisectors/Circumcenter Angle Bisectors/Incenter Medians/Centroid Altitudes/Orthocenter Inequalities in triangles