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Table of Contents
Table of Contents
Unit 1: The Tools of Geometry
Points, Lines, and PlanesThe Distance Formula and Linear Measure (SOL G.3a)The Midpoint Formula and Segment Addition Postulate (SOL G.3a)Angle RelationshipsThe Angle Addition Postulate and Angle BisectorsBasic Constructions (SOL G.4a, G.4b, G.4e, and G.4f)Unit 2: Reasoning and Proof
Patterns and Inductive Reasoning Logic Symbols (SOL G.1b)Conditional and Biconditional Statements (SOL G.1a)Laws of Deductive Reasoning (SOL G.1c)Algebraic Proof and PropertiesGeometric Proof and PropertiesProving Segment RelationshipsProving Angle RelationshipsUnit 3: Parallel and Perpendicular Lines
Lines and Transversals Properties of Parallel Lines (SOL G.2b)Proving Lines Parallel (SOL G.2a)Constructing Parallel and Perpendicular Lines (SOL G.4c, G.4d, and G.4g)Slope of Parallel and Perpendicular Lines (SOL G.3b)Equations of Parallel and Perpendicular Lines (SOL G.3b)Benchmark
Unit 4: Triangle Congruence
Angles of TrianglesCongruent TrianglesProving Congruence--SSS and SAS (SOL G.6)Proving Congruence--ASA and AAS (SOL G.6) Proving Congruence--HL (SOL G.6)Using Congruent Parts of Congruent Triangles (SOL G.6)Isosceles Triangles (SOL G.6)Triangles and Coordinate Proofs (SOL G.6)Unit 5: Relationships Within Triangles
The Triangle Inequality Theorem (SOL G.5c and G.5d)Triangle Inequalities Comparing Sides and Angles (SOL G.5a and G.5b)Unit 6: Triangle Similarity
Using ProportionsSimilar PolygonsProving Triangles Similar (SOL G.7)Parts of Similar Triangles (SOL G.7)Similarity in Right Triangles (SOL G.7)Proportions in Triangles (SOL G.7)Benchmark
Unit 7: Right Triangles and Trigonometry
The Pythagorean Theorem and its Converse (SOL G.8a)Special Right Triangles (SOL G.8b)Trigonometry: Tangent Ratios (SOL G.8c)Trigonometry: Sine and Cosine Ratios (SOL G.8c)Angles of Elevation and Depression (SOL G.8c)The Law of SinesThe Law of CosinesUnit 8: Polygons and Quadrilaterals
The Polygon Angle-Sum Theorem (SOL G.10a, G.10.b, and G.10c)Properties of Parallelograms (SOL G.9)Proving that a Quadrilateral is a Parallelogram (SOL G.9)Proving that a Quadrilateral is a Rectangle (SOL G.9)Proving that a Quadrilateral is a Rhombus or Square (SOL G.9)Trapezoids and Kites (SOL G.9)Quadrilaterals and Coordinate Proof (SOL G.9)Unit 9: Circles
Circles and Circumference (SOL G.11)Central Angles and Arcs (SOL G.11)Arc Length and Area of Sectors (SOL G.11c and G.11d)Chords and Arcs (SOL G.11a)Inscribed Angles and Polygons (SOL G.11a)Constructing Inscribed Polygons (SOL G.4h)Tangents (SOL G.11b)Angles Formed by Chords, Secants, and Tangents (SOL G.11a)Segments Formed by Chords, Secants, and Tangents (SOL G.11b)Circles in the Coordinate Plane (SOL G.12)Benchmark
Unit 10: Transformations and Symmetry
Translations (SOL G.3d)Reflections (SOL G.3d)Rotations (SOL G.3d)Symmetry (SOL G.3c)Dilations (SOL G.3d)Tessellations (SOL G.10b)Unit 11: Area, Surface Area, and Volume
Surface Area of Prisms and Cylinders (SOL G.11)Surface Area of Pyramids and Cones (SOL G.11)Volume of Prisms and Cylinders (SOL G.11)Volume of Pyramids and Cones (SOL G.11)Surface Area and Volume of Sphere and Hemispheres (SOL G.11)Areas and Volumes of Similar Solids (SOL G.14a)The Affects of Changing Dimensions (SOL G.14b and G.14c)Report abuse