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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: a

2

+ b

2

= c

2

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 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.

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