GEOMETRY 1st Semester Study Guide Algebra Skills: Graphing

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GEOMETRY
1 Semester Study Guide
st
Algebra Skills:
 Graphing Lines
 Equations of Lines
 Solving Linear Equations
Chapter One:
 Transformations
 Shape Bucket Tool Kit – 16 shapes
 Venn Diagrams
 Symmetry – reflection and rotation
 Perimeter
 Area
Chapter Two:
 Angle Pair Relationships
 Angle Pairs from Parallel Lines
 Parallel and Perpendicular Lines
 Characteristics of Shapes in Tool Kit
 Pythagorean Theorem
Chapter Three:
 Proportions
 Similarity of Polygons
 Triangle Similarity Theorems
 Triangle Inequality Theorem
 Types of Triangles
Chapter Four:
 Slope Ratios – from right triangles
 Tangent – to find sides of right triangles
 Probability of Single Events
 Probability of Multiple Events – equally likely
 Probability of Multiple Events – not equally likely
The list above represents the concepts taught throughout the first semester.
The following is a list of problems from the Closure of each chapter to help you prepare.
Chapter One – p. 73 #128-137
Chapter Two – p. 138 #118-126
*answers and reference info follow the problems
Chapter Three – p. 204 #114-124
Chapter Four – p. 269 #122-132
The following is a list of Check Point Problems geared toward the algebra skills that are necessary in this course.
Checkpoint One – Solving Linear Equations (p. 778)
Checkpoint Two – Solving Linear Systems (p. 780)
*notes and examples are prior to problems.
Checkpoint Three – Writing Equations of Lines (p. 783)
*answers are immediately after the problems.
Checkpoint Four – Find Area and Perimeter (p. 787)
Checkpoint Six – Solving Proportions with Similar Figures (p. 798)
Checkpoint Eight – Angle Relationships in Triangles and with Lines (p. 806)
Checkpoint Nine (A) – Probabilities (p. 810)
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