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Web Links for Geometry, 4th ed.

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Geometry Helps

General Video and Applet Sources

Chapter 1: Foundations of Geometry

1.5 Measuring Segments and Angles

1.4 Subsets of Lines and Plane

1.7 Two-Dimensional Figures

Chapter 2: Reasoning and Proof

2.1 Inductive Reasoning

2.4 Deductive Reasoning

2.8 Bisectors

Chapter 3: Parallel and Perpendicular Lines

3.3 Slopes and Distances in the Coordinate Plane

3.5 Parallel and Perpendicular Constructions

3.6 Triangle Angle Sum Theorem

  • Illuminations: Adding it All Up—Students use paper and pencil as well as dynamic software to study convex and concave polygons and their interior angle measures

Chapter 4: Congruent Triangles

4.1 Triangles and their Angles

4.3 Congruence Postulates

4.4 Congruence Theorems

  • Illuminations: Pieces of Proof—Excellent activity as student begin to prove triangles congruent by identifying properties from a diagram and applying postulates and theorems to form a proof

Chapter 5: Relationships in Triangles

5.1 Bisectors in Triangles

5.2 Medians and Altitudes

5.4 Inequalities within a Triangle

5.6 Triangle Constructions

Chapter 6: Quadrilaterals

6.1 Classifying Quadrilaterals

6.2 Characteristics of Parallelograms

6.3 Proofs of Parallelograms

6.4 Rectangles, Rhombi and Squares

Chapter 7: Area

7.1 Areas of Parallelograms and Triangles

7.3 The Pythagorean Theorem

7.5 Areas of Regular Polygons

  • Illuminations: Pinwheels—Origami style parallelograms and octagons are formed to study angle measure, side lengths and area of polygons

7.6 Circles and Arcs

7.7 Areas of Circles, Sectors and Segments

Chapter 8: Similarity

8.1 Ratios and Proportions

8.2 Similar Polygons

Chapter 9: Trigonometry

9.3 Applications of Trigonometry

9.4 Vectors

9.5 Area using Trigonometry

9.7 Law of Sines and Law of Cosines

Chapter 10: Circles

10.1 Circles and Chords

10.3 Arcs

Chapter 11: Surface Area and Volume

11.2 Tetrahedral Kites

  • Illuminations: Tetrahedral Kites—Detailed description of an end of class project where students build a three dimensional figure made of straws and tissue paper

11.3 Surface Areas of Prisms and Cylinders

  • Illuminations: Soda Cans—Students determine the most efficient way to create a six- or twelve-pack of soda in a real-life application of geometry

Chapter 12: Transformations and Symmetry

12.3 Rotations

12.5 Symmetry

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