Essentials Of Geometry For College Students

Paperback | November 17, 2003

byMargaret L. Lial, Barbara A. Brown, Arnold R. Steffenson

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To be truly successful communicators in today’s world, students need to be fluent in multiple modes of communication: written, visual, and oral.  Providing instruction in, and samples from, diverse genres of writing, Compose, Design, Advocate also provides an advocacy focus that encourages students to use written, visual, and oral communication to effect change in their lives and communities. With compelling reading selections, in-depth “Thinking through Production” writing assignments, and excellent coverage of research, Compose, Design, Advocate is a highly teachable text that will challenge and engage students.

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To be truly successful communicators in today’s world, students need to be fluent in multiple modes of communication: written, visual, and oral.  Providing instruction in, and samples from, diverse genres of writing, Compose, Design, Advocate also provides an advocacy focus that encourages students to use written, visual, and oral comm...

Format:PaperbackDimensions:560 pages, 9.2 × 8.2 × 1 inPublished:November 17, 2003Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0201748827

ISBN - 13:9780201748826

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Table of Contents



1. Foundations of Geometry.

Inductive and Deductive Reasoning.

Points, Lines and Planes.

Segments, Rays, and Angles.

Introduction to Deductive Proofs.

Formalizing Geometric Proofs.

Constructions Involving Lines and Angles.



2. Triangles.

Classifying Triangles.

Congruent Triangles.

Proofs Involving Congruence.

Isosceles Triangles, Medians, and Altitudes.

Proving Right Triangles Congruent.

Constructions Involving Triangles.



3. Parallel Lines and Polygons.

Indirect Proof and the Parallel Postulate.

Parallel Lines.

Polygons and Angles.

More Congruent Triangles.



4. Quadrilaterals.

Parallelograms.

Rhombus and Kite.

Rectangles and Squares.

Trapezoids.



5. Similar Polygons and the Pythagorean Theorem.

Ratio and Proportion.

Similar Polygons.

Properties of Right Triangles.

Pythagorean Theorem.

Inequalities Involving Triangles.



6. Circles.

Circles and Arcs.

Chords and Secants.

Tangents.

Circles and Regular Polygons.

Inequalities Involving Circles.



7. Areas of Polygons and Circles.

Areas of Quadrilaterals.

Circumference and Area of a Circle.

Area and Arc Length of a Sector.

Area of Regular Polygons.



8. Solid Geometry.

Planes and Polyhedrons.

Prisms.

Pyramids.

Cylinders and Cones.

Spheres and Composite Figures.



9. Analytic Geometry and Locus of Points.

The Cartesian Coordinate System.

Slope, Distance and Midpoint Formulas.

Proofs Involving Polygons.

Locus and Basic Theorems.

Triangle Concurrency Theorems.



10. Introduction to Trigonometry.

Sine and Cosine Ratio.

Tangent Ratio.

Solving Right Triangles.

Applications Involving Right Triangles.