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Geometry Final Exam Outline & Extra Credit Opportunity (Note: Refer to all previous exam outlines) Chapter One 1-1 Patterns and Inductive Reasoning 1-3 Points, Lines, and Planes 1-4 Segments, Rays, Parallel Lines, and Planes 1-5 Measuring Segments 1-6 Measuring Angles 1-8 The Coordinate Plane 1-9 Perimeter, Circumference and Area Chapter Two Know the difference between deductive and inductive reasoning Law of Syllogism Law of Detachment Reasoning in Algebra (proofs using properties) Chapter Three Know the Properties of Parallel Lines Know how to prove that lines are Parallel o Know all the postulates and Theorems and the converse Parallel Lines and the Triangle Angle-Sum Theorem The Polygon Angles-Sum Theorem o Know how to find an interior & an exterior angle of a polygon Chapter Four Congruent figures SSS/SAS/ASA/AAS postulates & theorems CPCTC HL-Theorem Chapter Six Classifying Quadrilaterals o Know the special quadrilaterals (parallelogram, rhombus, rectangle, square, kite, trapezoid, isosceles trapezoid) Properties of Parallelograms Proving that a Quadrilateral is a Parallelogram Special Parallelograms Trapezoids and Kites Proofs using coordinate plane geometry (trapezoid midsegment theorem) Memorize the Pythagorean theorem: a2 + b2 = c2 Extra Credit Opportunity 25 points: Create a colorful and creative picture-reference book using all definitions, theorems, postulates, and corollaries in Chapter(1-4,6) The following must be included: Cover page (2 points) o Colorful (1 point) o Creative (including a geometric shape or figure) (1 points) Table of Content (2 points) o List and page numbers of all content included in your picture reference book Definitions/Theorems/Postulates/Corollaries (20 points) o Must included accurate definitions/theorems/postulates and corollaries o Must included a picture or example (can be neatly drawn or computer generated) Bibliography (1 point) o You must site your sources (textbook, internet, dictionary..etc) o Ask your English teacher to provide with some examples of how to write a bibliography. List of definitions/theorems/postulate/corollaries that are to be included Chapter Definitions One -Inductive reasoning -Conjecture -Counter example -Point -Space -Line -Collinear -Plane -Coplanar -Postulate -Axiom -Segment -Ray -Opposite Rays -Parallel Lines Skew Lines -Parallel Lines -Congruent segments -Angles -Acute, right, Obtuse, and straight angles -Congruent angles -Vertical, adjacent, Theorems Postulates Postulate 1-1 Postulate 1-2 Postulate 1-3 Postulate 1-4 Postulate 1-5 Postulate 1-6 Postulate 1-7 Postulate 1-8 Corollary Chapter Two Chapter Three complementary, & supplementary angles -Perpendicular Lines -Perpendicular bisector -Angle bisector -Distance formula -Midpoint formula -Conditional, hypothesis, and conclusion -Converse -Biconditional -Deductive reasoning -Law of Detachment -Law of Syllogism -Properties of Congruence -Transversal -Alternate Interior Angles -Same-Side interior angles -Corresponding angles -Polygon -Convex Polygon -Concave Polygon -Equilateral Polygon -Equiangular Polygon -Regular Polygon Vertical Angles theorem Congruence Supplements thm. CongruenceComplement thm Thm 2-4 Thm 2-5 -Alternate Interior Angles Thm -Same-Side Interior angles theorem -Alternate Exterior Angles Thm -Same Side Exterior Angles Theorem -Converse of the Alternate Interior Angles Thm -Converse of the Same-Side Interior Angles -Corresponding Angles Postulate -Converse of the Corresponding Angles Postulate Thm -Converse of the Alt. Exterior Angles Thm. -Converse of the Same-Side Exterior Angles thm. -Thm 3-9 -Thm 3-10 -Thm 3-11 -Triangle Angle Sum Thm -Triangle Exterior Angle Thm -Polygon Angle-Sum Thm. -Polygon Ext. Angle Sum Thm. Chapter Four -Congruent Polygons -CPCTC -legs -base -vertex angle -base angles -hypotenuse -Theorem 4-1 -AAS Thm -Isosceles Triangle Thm -Converse of Isosceles Triangle Thm -Thm 4-5 -HL-theorem Chapter Six -Parallelogram -rhombus -Rectangle -Square -Kite -Trapezoid -Consecutive angles -Base angles of a trapezoid -midsegment of -Thm 6-1 -Thm 6-2 -Thm 6-3 -Thm 6-4 -Thm 6-5 -Thm 6-6 -Thm 6-7 -Thm 6-8 -Thm 6-9 -Thm 6-10 -Thm 6-11 -SSS Postulate -SAS Postulate -ASA Postulate -Corollary to Thm4-3 -Corollary to Thm 4-4 a trapezoid -Thm 6-12 -Thm 6-13 -Thm 6-14 -Thm 6-15 -Thm 6-16 -Thm 6-17 -Trapezoid midsegment Thm Tips of success o You can use the same diagram to demonstrate more than one definition, theorem, postulate or corollary where appropriate o Your picture-reference must be neat! You may purchase a report folder or binder. o Your picture/reference book must be neatly hand written or typed out. Each page must be numbered with the exception of the cover page o This assignment will not be accepted late! No late passes or free passes can be used.