Geometry

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1. Basics of Geometry

1.1. Patterns and Inductive Reasoning

Finding Patterns

1.2. Points, Lines, and Planes

Investigating Parallel Lines and Planes

1.7. Introduction to Perimeter, Circumference, and Area

Circle: Perimeter, Circumference and Area

Rectangle: Perimeter, Circumference and Area

2. Reasoning and Proof

2.1. Conditional Statements

Conditional Statement

2.2. Definitions and Biconditional Statements

Biconditional Statement

2.3. Deductive Reasoning

Conditional Statement

Biconditional Statement

2.5. Proving Statements about Segments

Constructing Congruent Segments and Angles

2.6. Proving Statements about Angles

Investigating Angle Theorems - Activity B

3. Perpendicular and Parallel Lines

3.1. Lines and Angles

Construct Parallel and Perpendicular Lines

Investigating Parallel Lines and Planes

3.5. Using Properties of Parallel Lines

Constructing Congruent Segments and Angles

Construct Parallel and Perpendicular Lines

4. Congruent Triangles

4.1. Triangles and Angles

Classifying Triangles

Triangle Angle Sum - Activity B

4.3. Proving Triangles are Congruent: SSS and SAS

Proving Triangles Congruent

4.4. Proving Triangles are Congruent: ASA and AAS

Proving Triangles Congruent

4.6. Isosceles, Equilateral, and Right Triangles

Isosceles and Equilateral Triangles

Congruence in Right Triangles

5. Properties of Triangles

5.1. Perpendiculars and Bisectors

Construct Parallel and Perpendicular Lines

Concurrent Lines, Medians, and Altitudes

5.2. Bisectors of a Triangle

Concurrent Lines, Medians, and Altitudes

Bisectors in Triangles

5.3. Medians and Altitudes of a Triangle

Concurrent Lines, Medians, and Altitudes

5.5. Inequalities in One Triangle

Triangle Inequalities

6. Quadrilaterals

6.1. Polygons

Polygon Angle Sum - Activity B

6.2. Properties of Parallelograms

Parallelogram Conditions

6.3. Proving Quadrilaterals are Parallelograms

Parallelogram Conditions

6.4. Rhombuses, Rectangles, and Squares

Classifying Quadrilaterals - Activity B

6.5. Trapezoids and Kites

Classifying Quadrilaterals - Activity B

6.6. Special Quadrilaterals

Special Quadrilaterals

6.7. Areas of Triangles and Quadrilaterals

Area of Parallelograms - Activity B

7. Transformations

7.1. Rigid Motion in a Plane

Rotations, Reflections and Translations

7.2. Reflections

Rotations, Reflections and Translations

7.3. Rotations

Rotations, Reflections and Translations

7.4. Translations and Vectors

Translations

7.5. Glide Reflections and Compositions

Rotations, Reflections and Translations

8. Similarity

8.1. Ratio and Proportion

Part:Part and Part:Whole Ratios

8.2. Problem Solving in Geometry with Proportions

Beam to Moon (Ratios and Proportions)

8.3. Similar Polygons

Similar Polygons

8.4. Similar Triangles

Perimeters and Areas of Similar Figures

8.5. Proving Triangles are Similar

Perimeters and Areas of Similar Figures

8.6. Proportions and Similar Triangles

Perimeters and Areas of Similar Figures

8.7. Dilations

Dilations

9. Right Triangles and Trigonometry

9.1. Similar Right Triangles

Similarity in Right Triangles

9.2. The Pythagorean Theorem

Pythagorean Theorem - Activity B

9.3. The Converse of the Pythagorean Theorem

Pythagorean Theorem - Activity B

9.5. Trigonometric Ratios

Sine, Cosine and Tangent

9.6. Solving Right Triangles

Sine and Cosine Ratios - Activity B

9.7. Vectors

Adding Vectors

10. Circles

10.2. Arcs and Chords

Chords and Arcs

10.3. Inscribed Angles

Inscribing Angles

10.6. Equations of Circles

Circles

11. Area of Polygons and Circles

11.1. Angle Measures in Polygons

Polygon Angle Sum - Activity B

11.3. Perimeters and Areas of Similar Figures

Perimeters and Areas of Similar Figures

11.4. Circumference and Arc Length

Circle: Perimeter, Circumference and Area

Chords and Arcs

11.6. Geometric Probability

Geometric Probability - Activity A

12. Surface Area and Volume

12.2. Surface Area of Prisms and Cylinders

Surface and Lateral Area of Prisms and Cylinders

12.3. Surface Area of Pyramids and Cones

Surface and Lateral Area of Pyramids and Cones

12.4. Volume of Prisms and Cylinders

Prisms and Cylinders - Activity B

12.5. Volume of Pyramids and Cones

Pyramids and Cones - Activity B

Content correlation last revised: 6/26/2008