CK12.ORG - Geometry

805

[{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

Basics of Geometry

CK-12 Foundation

Basics of Geometry

This chapter covers undefined terms, defined terms, basic postulates of points, lines and planes;...

Created: Oct. 06, 2009 03:27 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Reasoning and Proof

CK-12 Foundation

Reasoning and Proof

This chapter covers inductive reasoning, deductive reasoning, conditional statements, properties of...

Created: Oct. 06, 2009 03:27 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Parallel and Perpendicular Lines

CK-12 Foundation

Parallel and Perpendicular Lines

This chapter covers the parallel line postulate, the perpendicular line postulate, and angles...

Created: Oct. 06, 2009 03:27 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Congruent Triangles

CK-12 Foundation

Congruent Triangles

This chapter covers the Triangle Sum theorem, triangle congruence, the SSS and ASA postulates, the...

Created: Oct. 06, 2009 03:27 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Relationships Within Triangles

CK-12 Foundation

Relationships Within Triangles

This chapter covers the midsegment theorem, the perpendicular bisector theorem, the angle bisector...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Quadrilaterals

CK-12 Foundation

Quadrilaterals

This chapter covers interior angles of convex quadrilaterals, classifying quadrilaterals,...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Similarity

CK-12 Foundation

Similarity

This chapter covers ratio and proportion, properties of similar polygons, AAA & AA rules for...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Right Triangle Trigonometry

CK-12 Foundation

Right Triangle Trigonometry

This chapter covers using the Pythagorean theorem when working with right triangles, classification...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

Circles

CK-12 Foundation

Circles

This chapter covers relationships between congruent and similar circles, the equation of a circle,...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

10.

Perimeter and Area

CK-12 Foundation

Perimeter and Area

This chapter covers finding the area for specific types of polygons, using scale drawings or...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

11.

Surface Area and Volume

CK-12 Foundation

Surface Area and Volume

This chapter covers the surface area and volume of prisms, cylinders, pyramids and spheres.

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

12.

Transformations

CK-12 Foundation

Transformations

This chapter covers transformations of figures in two-dimensional space including translations,...

Created: Oct. 06, 2009 03:28 PM

Last edited: Jun. 16, 2010 02:27 PM

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

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Geometry

Reviewed

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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Attributions:

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Categories:

Algebraic Geometry

Analytic Geometry

Angles

Cartesian Coordinates

Circles

Cones

Congruence

Cylinders

Distance Formula

Geometric Patterns

Geometric Proof

Geometry

Lines and Planes

Mathematics

Measurement

Patterns

Plane Geometry

Polygons

Polyhedra

Prisms

Properties

Pyramids

Pythagorean Theorem

Reflection

Regular

Rotation

Similarity

Solid Geometry

Tilings and Tessellations

Transformations

Translation

Triangles

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Reviewed

CK-12 readers should treat this FlexBook as a final draft. This FlexBook underwent a thorough review conducted by practicing teachers, domain experts, copyeditors, technical editors, and has been developed following state and national standards. It can be used in its current form, "flexed" (customized), and/or printed by the user. CK-12 supports feedback on all of its FlexBooks so that they can be continually improved and updated.

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