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HONORS GEOMETRY FINAL EXAM REVIEW 2016 EXAM DATE: BRING: Textbook Pencils Scientific Calculator TEST FORMAT: Part I: 10 Open-Ended Part II: 30 Multiple Choice TOPICS COVERED: CH. 1 POINTS, LINES, PLANES & ANGLES CH. 2 Undefined Terms Basic Definitions & Notation Postulates Relating Points, Lines & Planes Coordinate Geometry Formulas & Applications Angle Relationships LOGICAL REASONING & INTRO TO PROOF Inductive vs. Deductive Reasoning Conjectures & Counterexamples Conditional Statements Converses, Inverses & Contrapositives Proofs Involving Segments & Angles o Properties from Algebra Addition, Subtraction, Multiplication, Division Reflexive, Symmetric, Transitive Substitution o Postulates Segment Addition Angle Addition Theorems About Special Pairs of Angles (Vertical, Complementary, Supplementary) Theorems About Perpendicular Lines CH. 3 PARALLEL LINES & PLANES Angles Formed by Parallel Lines & Transversals Properties of Parallel Lines Ways to Prove Lines Parallel Triangle-Angle Sum Theorem Exterior Angle Theorem Sum of the Interior & Exterior Angles of a Convex Polygon Angles of Regular Polygons CH. 4 CONGRUENT TRIANGLES Classifying Triangles Ways to Prove Triangles Congruent Using CPCTC to Prove Sides & Angles Congruent Properties of Isosceles & Equilateral Triangles Medians, Altitudes, and Perpendicular Bisectors CH. 5 QUADRILATERALS Properties of Parallelograms Ways to Prove that a Quadrilateral is a Parallelogram Theorems Involving Parallel Lines Properties of Rectangles, Rhombi, and Squares Properties of Trapezoids CH. 6 INEQUALITIES IN GEOMETRY Properties of Inequalities Indirect Proof Inequalities for One Triangle o Triangle Inequality Theorem o Exterior Angle Inequality Theorem Inequalities for Two Triangles o SAS (Hinge Thm) and SSS Inequality Theorems CH. 7 SIMILAR POLYGONS Properties of Ratios & Proportions Identifying Similar Polygons; Solving for Unknown Measures Ways to Prove Triangles Similar Proportional Lengths in Triangles Ratio of Perimeters & Areas of Similar Polygons CH. 8 RIGHT TRIANGLES & TRIGONOMETRY Geometric Means Pythagorean Theorem & Its Converse Pythagorean Triples Determining whether a Triangle is Acute, Right or Obtuse Special Right Triangles Using Trig Ratios to Solve Right Triangles (SOH-CAH-TOA) Angles of Elevation & Depression Law of Sines Law of Cosines CH. 14 TRANSFORMATIONS Translations Reflections Rotations Dilations Composition of Transformations (ex: Glide Reflections) CH. 9 CIRCLES Basic Terms Equation of a Circle Properties of Tangents Minor Arcs, Major Arcs, & Semicircles Relationships between Arcs & Chords of a Circle Inscribed Angles Other Types of Angles Formed by Chords, Secants, & Tangents Lengths of Segments in a Circle CH. 11 AREAS OF PLANE FIGURES Areas Postulates Areas of Polygons o Squares & Rectangles o Parallelograms o Triangles o Rhombi o Trapezoids o Regular Polygons Circumference & Area of a Circle Arc Lengths and Areas of Sectors Geometric Probability Ratios of Areas CH. 12 AREAS & VOLUMES OF SOLIDS Using 2-D Nets to Model 3-D Solids Lateral Area, Surface Area & Volume o Prisms & Cylinders o Pyramids & Cones Surface Area & Volume of a Sphere HONORS GEOMETRY FORMULA SHEET Coordinate Geometry Distance Equation of a Line Midpoint Equation of a Circle Slope Convex Polygons o Sum of Interior Angles o Sum of Exterior Angles Law of Sines Law of Cosines Area Formulas Prisms & Cylinders Parallelogram L.A. = S.A. = Triangle Rhombus V = Pyramids & Cones L.A. = Trapezoid S.A. = V = Equilateral Triangle Spheres Regular Polygon S.A. = V =