High School Geometry Book Pdf

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High School Geometry Book Pdf Template

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This junior high school geometry curriculum was developed in the early nineties, as a counterbalance for the then prevailing boring geomet ry tasks. Currently there is a tendency to move part of this intuition-based (and intuition-stimulating) type of geometry to its. View PDF (17,167.1 KB ) Geometry Textbook Chapter 3-4. Geometry Textbook Student Resources. Heritage High School.

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This book was originally developed by the CK-12 Foundation, a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. This textbook has been designed to meet California and U.S. standards.

The material is not current as CK-12 now has a 'no commercial use' license that is incompatible with Wikibooks.This work is licensed under the Creative Commons Attribution-Share Alike 3.0 United States License and was adapted from CK-12.

Retrieved from 'https://en.wikibooks.org/w/index.php?title=High_School_Geometry&oldid=3454522'

1. Introduction to Geometry

1.1Points, Lines, and Planes1.2
  1. UniT OBJEcTiVEs. Geometry is the mathematical study of space. Euclid’s postulates form the basis of the geometry we learn in high school. Euclid’s fifth postulate, also known as the parallel postulate, stood for over. Two thousand years before it was shown to be unnecessary in creating a self-consistent geometry.
  2. Usual high school curriculum: outside of geometry, almost noth-ing is ever proved. In other words, mathematics is largely taught in schools without reasoning. The course on geometry is the only place where reasoning can be found. The absence of proofs elsewhere adds pressure to the course on geometry to pursue the mythical entity called proof'.
Measuring Segments1.3Measuring Angles1.4Angle Pairs and Relationships1.5Midpoint and Distance Formulas1.6Perimeter and Area in the Coordinate Plane incomplete1.7Linear Measure1.8Two-Dimnensional Figures1.9Three-Dimensional Figures

2. Proofs and Reasoning

2.1Inductive Reasoning2.2Conditional Statements2.3Biconditional Statements2.4Deductive Reasoning2.5Algebraic Reasoning and Proof2.6Geometric Reasoning and Proof2.7Proving Angle Relationships2.8Proving Segment Relationships2.9Logic2.10Postulates and Paragraph Proofs

3. Parallel and Perpendicular Lines

3.1Lines and Angles3.2Properties of Parralel Lines3.3Proving Lines Parallel3.4Parralel and Perpedicular Lines3.5Constructions with Parallel and Perpendicular Lines3.6Equations of Lines3.7Slopes of Lines

4. Congruent Triangles

4.1Congruent Figures4.2Triangle Conguence by SSS and SAS4.3Triangle Congruence by ASA and AAS4.4Isosceles and Equailateral Triangles4.5Classifying Triangles4.6Angles of Triangles4.7Triangles and Coordinate Proof

5. Relationships Within Triangles

5.1The Triangle Midsegment Theorem

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5.2Perpendicular and Angle Bisectors5.3Bisectors of Triangles5.4Medians and Altitudes of Triangles5.5Indirect Proof5.6Inequalities in One Triangle5.7Inequalities in Two Triangles

6. Quadrilaterals

6.1Angles of Polygons6.2Properties of Parallelograms6.3Conditions for Parallelograms6.4Rectangles6.5Rhombi and Squares6.6Trapezoids and Kites6.7Proving That a Quadrilateral is a Parallelogram6.8Properties of Special Parallelograms

7. Similarity

7.1Ratios and Proportions7.2Similar Polygons7.3Proving Triangle Similarity7.4Similarity in Right Triangles7.5Parallel Lines and Proportional Pairs7.6Parts of Similar Triangles7.7Scale Drawings and Models

8. Right Triangles and Trigonometry

8.1The Pythagorean Theorem and Its Converse8.2Special Right Triangles8.3Trigonometry8.4Angles of Elevation and Depression8.5Law of Sines and Cosines8.6Solving Right Triangles8.7VectorsHigh8.8Geometric Mean

9. Transformations

9.1

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Translations9.2Reflections9.3Rotations9.4Congruence Transformations9.5Dilations9.6Similarity Transformations9.7Composition of Transformations9.8Symmetry

10. Area

10.1Areas of Parallelograms and Triangles10.2Areas of Trapezoids, Rhombuses, and Kites10.3Areas of Regular Polygons10.4Permeters and Areas of Similar Figures10.5Areas of Circles and Sectors10.6Geometric Probability

11. Surface Area and Volume

11.1Surface Areas of Prisms and Cylinders11.2Surface Areas of Pyramids and Cones11.3Volumes of Prisms and Cylinders11.4Columes of Pyramids and Cones11.5Surface Area and Volumes of Spheres11.6Congruent and Similar SolidsHigh School Geometry Book Pdf11.7Representations of Three-Dimensional Figures11.8Spherical Geometry

12. Circles

12.1Tangents12.2Arcs and Chords12.3Inscribed Angles12.4Angle Measures and Segment Lengths12.5Circles in the Coordinate Plane12.6Circles and Circumference12.7Measuring Angles and Arcs12.8Special Segments in a Circle12.9Equations of Circles12.10Angle Relationships in Circles12.11Segment Relationships

13. Probability

13.1Permutations and Combinations13.2Conditional Probability Formulas13.3Representing Sample Spaces13.4Simulations13.5Probabilities of Independent and Dependent Events13.6Probabilities of Mutally Exclusive Events
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