Geometry

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points, lines, planes, rays, and segments

Terms, Definitions and Properties

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Algebraic Expressions

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Coordinate Geometry

Equations of Lines

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Distance, Mid-Point
and Slope Formulas

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Write and Graph Equations

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Parallel and
Perpendicular Lines

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Angles

Types, Measures and Classifications

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Angle Pairs

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Postulates and Theorems

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logical reasoning

Inductive vs Deductive Reasoning

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Conditionals, Converse, Inverse and Contrapositive

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Law of Syllogism and
Law of Detachment

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Truth Value and
Logic Notation

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two-column proofs

Given Information and
What’s To Be Proven

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Statements and their Justifications/Reasons

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Justifications/Reasons

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transformations

Translations

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Scale Factor

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Reflections

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Center of Dilation

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Rotations

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Properties Preserved
Under Dilation

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Properties Preserved Under Rigid Transformations

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Symmetry

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congruence and similarity

Terms and Definitions

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Congruence Postulates
and Theorems

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Similarity Postulates
and Theorems

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Solving Similar Triangles

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Right Triangles and Trigonometry

Pythagorean Theorem
and its Converse

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Special Right Triangles

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Trigonometric Ratios

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Solving Using Trigonometry

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quadrilaterals and Other Polygons

Polygons ~ Terms and Definitions, Theorems

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Quadrilaterals

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Parallelogram, Rhombus, Rectangle, and Square

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Trapezoids and Kites

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Circles

Terms and Definitions

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Angles and Arcs

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Circles and Lines

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Three-Dimensional Geometry

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