[{id:"2264",title:"Basics of Geometry"},{id:"2265",title:"Reasoning and Proof"},{id:"2266",title:"Parallel and Perpendicular Lines"},{id:"2267",title:"Congruent Triangles"},{id:"2268",title:"Relationships Within Triangles"},{id:"2269",title:"Quadrilaterals"},{id:"2270",title:"Similarity"},{id:"2271",title:"Right Triangle Trigonometry"},{id:"2272",title:"Circles"},{id:"2273",title:"Perimeter and Area"},{id:"2274",title:"Surface Area and Volume"},{id:"2275",title:"Transformations"},]
FlexBook: Geometry
Table of Contents
Chapter Title
Creator
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This chapter covers undefined terms, defined terms, basic postulates of points, lines and planes; distances on a coordinate grid; complementary and supplementary angles; vertical angles; linear pairs and classification of polygons.
Categories: Geometry , Plane Geometry , Angles , Polygons
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Community
Tags: ray , space , plane , point
Created: Oct. 06, 2009 03:27 PM
Last Edited: Jun. 16, 2010 02:27 PM
Basics of Geometry
This chapter covers inductive reasoning, deductive reasoning, conditional statements, properties of equality and two-column proofs.
Categories: Geometry , Geometric Proof , Plane Geometry , Angles
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Community
Tags: reflexive property , properties of congruence , properties of equality , truth tables
Created: Oct. 06, 2009 03:27 PM
Last Edited: Jun. 16, 2010 02:27 PM
Reasoning and Proof
This chapter covers the parallel line postulate, the perpendicular line postulate, and angles formed by two parallel lines and a non-perpendicular transversal.
Categories: Geometry , Algebraic Geometry , Geometric Proof , Plane Geometry
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation
Tags: parallel lines , skew lines , perpendicular lines , adjacent angles
Created: Oct. 06, 2009 03:27 PM
Last Edited: Jun. 16, 2010 02:27 PM
Parallel and Perpendicular Lines
This chapter covers the Triangle Sum theorem, triangle congruence, the SSS and ASA postulates, the AAS congruence theorem, two-column and flow proofs, the HL congruence theorem, AAA and SSA relationships, and isosceles and equilateral triangles.
Categories: Plane Geometry , Angles , Transformations , Rotation
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation
Tags: ssa , similarity , aaa , hypotenuse
Created: Oct. 06, 2009 03:27 PM
Last Edited: Jun. 16, 2010 02:27 PM
Congruent Triangles
This chapter covers the midsegment theorem, the perpendicular bisector theorem, the angle bisector theorem, the concurrency of medians theorem, Napoleon's theorem, the triangle inequality theorem and SAS & SSS triangle inequality theorems.
Categories: Geometric Proof , Plane Geometry , Angles , Triangles
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Community
Tags: orthocenter , concurrency of altitudes theorem , centroid , triangle inequality theorem
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Relationships Within Triangles
This chapter covers interior angles of convex quadrilaterals, classifying quadrilaterals, properties of parallelograms, properties of rhombi, rectangles and squares, biconditional statements and properties of trapezoids.
Categories: Plane Geometry , Angles , Polygons , Congruence
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: venn diagram , isosceles trapezoid , trapezoid , kite
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Quadrilaterals
This chapter covers ratio and proportion, properties of similar polygons, AAA & AA rules for similar triangles, using SSS & SAS to solve problems about similar triangles, identifying proportional segments in triangles and similarity transformations.
Categories: Plane Geometry , Angles , Lines and Planes , Polygons
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: indirect measurement , sss , corresponding angles , sas
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Similarity
This chapter covers using the Pythagorean theorem when working with right triangles, classification of triangles, the converse of the Pythagorean theorem, using the geometric mean, properties of special right triangles, and trigonometric ratios.
Categories: Geometric Proof , Plane Geometry , Triangles , Properties
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: triangle classification , similar right triangles , pythagorean theorem , pythagorean triples
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Right Triangle Trigonometry
This chapter covers relationships between congruent and similar circles, the equation of a circle, tangent lines, arc measures, chords, inscribed angles, and angles formed by chords, secants and tangents.
Categories: Geometry , Analytic Geometry , Cartesian Coordinates , Circles
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: diameter , semicircle , arcs , central angles
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Circles
This chapter covers finding the area for specific types of polygons, using scale drawings or models, finding the circumference of a circle, areas of circles & sectors, calculating the areas & perimeters of regular polygons and geometric probability.
Categories: Plane Geometry , Circles , Measurement , Polygons
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: perimeter , similar polygons , kite , rhombus
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Perimeter and Area
This chapter covers the surface area and volume of prisms, cylinders, pyramids and spheres.
Categories: Geometry , Solid Geometry , Cones , Cylinders
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Foundation
Tags: lateral area , oblique prism , right prism , cross sectional
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Surface Area and Volume
This chapter covers transformations of figures in two-dimensional space including translations, reflections, rotations and dilations.
Categories: Polyhedra , Prisms , Pyramids , Spheres
Grades: 9 , 10 , 11
Organizations: CK-12 Foundation , CK-12 Community
Tags: bilateral symmetry , transformations , dilations , isometry
Created: Oct. 06, 2009 03:28 PM
Last Edited: Jun. 16, 2010 02:27 PM
Transformations
Geometry
Geometry
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Created: Oct. 06, 2009 03:27 PM
Last modified: 2 months, 2 weeks ago

CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

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