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: a
2
+ b
2
= c
2
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 Theorems Postulates
One
Corollary
-Inductive reasoning
-Conjecture
-Counter example
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Postulate 1-5
-Point
-Space
-Line
-Collinear
-Plane
-Coplanar
-Postulate
Postulate 1-6
Postulate 1-7
Postulate 1-8
-Axiom
-Segment
-Ray
-Opposite Rays
-Parallel Lines
Skew Lines
-Parallel Lines
-Congruent segments
-Angles
-Acute, right,
Obtuse, and straight angles
-Congruent angles
-Vertical, adjacent,
complementary,
& supplementary angles
-Perpendicular
Lines
-Perpendicular bisector
-Angle bisector
-Distance formula
-Midpoint formula
Chapter Two -Conditional, hypothesis, and conclusion
-Converse
-Biconditional
-Deductive reasoning
-Law of
Detachment
-Law of
Syllogism
-Properties of
Congruence
Chapter Three -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.
Congruence-
Complement 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
Chapter Four
Chapter Six
-Congruent
Polygons
-CPCTC
-legs
-base
-vertex angle
-base angles
-hypotenuse
-Parallelogram
-rhombus
-Rectangle
-Square
-Kite
-Trapezoid
-Consecutive angles
-Base angles of a trapezoid
-midsegment of
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.
-
-Theorem 4-1
-AAS Thm
-Isosceles
Triangle Thm
-Converse of
Isosceles
Triangle Thm
-Thm 4-5
-HL-theorem
-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.