CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

  • 1 Basics of Geometry Contents

    • 1.1 Points, Lines, and Planes

    • 1.2 Segments and Distance

    • 1.3 Angles and Measurement

    • 1.4 Midpoints and Bisectors

    • 1.5 Angle Pairs

    • 1.6 Classifying Polygons

    • 1.7 Chapter 1 Review



  • 2 Reasoning and Proof

    • 2.1 Inductive Reasoning

    • 2.2 Conditional Statements

    • 2.3 Deductive Reasoning

    • 2.4 Algebraic and Congruence Properties

    • 2.5 Proofs about Angle Pairs and Segments

    • 2.6 Chapter 2 Review



  • 3 Parallel and Perpendicular Lines

    • 3.1 Lines and Angles

    • 3.2 Properties of Parallel Lines

    • 3.3 Proving Lines Parallel

    • 3.4 Properties of Perpendicular Lines

    • 3.5 Parallel and Perpendicular Lines in the Coordinate Plane

    • 3.6 The Distance Formula

    • 3.7 Chapter 3 Review



  • 4 Triangles and Congruence

    • 4.1 Triangle Sums

    • 4.2 Congruent Figures

    • 4.3 Triangle Congruence using SSS and SAS

    • 4.4 Triangle Congruence Using ASA, AAS, and HL

    • 4.5 Isosceles and Equilateral Triangles

    • 4.6 Chapter 4 Review



  • 5 Relationships with Triangles

    • 5.1 Midsegments of a Triangle

    • 5.2 Perpendicular Bisectors in Triangles

    • 5.3 Angle Bisectors in Triangles

    • 5.4 Medians and Altitudes in Triangles

    • 5.5 Inequalities in Triangles

    • 5.6 Extension: Indirect Proof

    • 5.7 Chapter 5 Review



  • 6 Polygons and Quadrilaterals http://www.ck12.org Contents

    • 6.1 Angles in Polygons

    • 6.2 Properties of Parallelograms

    • 6.3 Proving Quadrilaterals are Parallelograms

    • 6.4 Rectangles, Rhombuses and Squares

    • 6.5 Trapezoids and Kites

    • 6.6 Chapter 6 Review



  • 7 Similarity

    • 7.1 Ratios and Proportions

    • 7.2 Similar Polygons

    • 7.3 Similarity by AA

    • 7.4 Similarity by SSS and SAS

    • 7.5 Proportionality Relationships

    • 7.6 Similarity Transformations

    • 7.7 Extension: Self-Similarity

    • 7.8 Chapter 7 Review



  • 8 Right Triangle Trigonometry

    • 8.1 The Pythagorean Theorem

    • 8.2 Converse of the Pythagorean Theorem

    • 8.3 Using Similar Right Triangles

    • 8.4 Special Right Triangles

    • 8.5 Tangent, Sine and Cosine

    • 8.6 Inverse Trigonometric Ratios

    • 8.7 Extension: Laws of Sines and Cosines

    • 8.8 Chapter 8 Review



  • 9 Circles

    • 9.1 Parts of Circles & Tangent Lines

    • 9.2 Properties of Arcs

    • 9.3 Properties of Chords

    • 9.4 Inscribed Angles

    • 9.5 Angles of Chords, Secants, and Tangents

    • 9.6 Segments of Chords, Secants, and Tangents

    • 9.7 Extension: Writing and Graphing the Equations of Circles

    • 9.8 Chapter 9 Review



  • 10 Perimeter and Area

    • 10.1 Triangles and Parallelograms

    • 10.2 Trapezoids, Rhombi, and Kites

    • 10.3 Areas of Similar Polygons

    • 10.4 Circumference and Arc Length

    • 10.5 Areas of Circles and Sectors

    • 10.6 Area and Perimeter of Regular Polygons

    • 10.7 Chapter 10 Review



  • 11 Surface Area and Volume

    • 11.1 Exploring Solids

    • 11.2 Surface Area of Prisms and Cylinders

    • 11.3 Surface Area of Pyramids and Cones

    • 11.4 Volume of Prisms and Cylinders

    • 11.5 Volume of Pyramids and Cones Contents http://www.ck12.org

    • 11.6 Surface Area and Volume of Spheres

    • 11.7 Exploring Similar Solids

    • 11.8 Chapter 11 Review



  • 12 Rigid Transformations

    • 12.1 Exploring Symmetry

    • 12.2 Translations and Vectors

    • 12.3 Reflections

    • 12.4 Rotations

    • 12.5 Composition of Transformations

    • 12.6 Extension: Tessellations

    • 12.7 Chapter 12 Review



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