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Geometry
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1. Introduction to Geometry
1.1
Points, Lines, and Planes
1.2
Measuring Segments
1.3
Measuring Angles
1.4
Angle Pairs and Relationships
1.5
Midpoint and Distance Formulas
1.6
Perimeter and Area in the Coordinate Plane incomplete
1.7
Linear Measure
1.8
Two-Dimnensional Figures
1.9
Three-Dimensional Figures
2. Proofs and Reasoning
2.1
Inductive Reasoning
2.2
Conditional Statements
2.3
Biconditional Statements
2.4
Deductive Reasoning
2.5
Algebraic Reasoning and Proof
2.6
Geometric Reasoning and Proof
2.7
Proving Angle Relationships
2.8
Proving Segment Relationships
2.9
Logic
2.10
Postulates and Paragraph Proofs
3. Parallel and Perpendicular Lines
3.1
Lines and Angles
3.2
Properties of Parralel Lines
3.3
Proving Lines Parallel
3.4
Parralel and Perpedicular Lines
3.5
Constructions with Parallel and Perpendicular Lines
3.6
Equations of Lines
3.7
Slopes of Lines
4. Congruent Triangles
4.1
Congruent Figures
4.2
Triangle Conguence by SSS and SAS
4.3
Triangle Congruence by ASA and AAS
4.4
Isosceles and Equailateral Triangles
4.5
Classifying Triangles
4.6
Angles of Triangles
4.7
Triangles and Coordinate Proof
5. Relationships Within Triangles
5.1
The Triangle Midsegment Theorem
5.2
Perpendicular and Angle Bisectors
5.3
Bisectors of Triangles
5.4
Medians and Altitudes of Triangles
5.5
Indirect Proof
5.6
Inequalities in One Triangle
5.7
Inequalities in Two Triangles
6. Quadrilaterals
6.1
Angles of Polygons
6.2
Properties of Parallelograms
6.3
Conditions for Parallelograms
6.4
Rectangles
6.5
Rhombi and Squares
6.6
Trapezoids and Kites
6.7
Proving That a Quadrilateral is a Parallelogram
6.8
Properties of Special Parallelograms
7. Similarity
7.1
Ratios and Proportions
7.2
Similar Polygons
7.3
Proving Triangle Similarity
7.4
Similarity in Right Triangles
7.5
Parallel Lines and Proportional Pairs
7.6
Parts of Similar Triangles
7.7
Scale Drawings and Models
8. Right Triangles and Trigonometry
8.1
The Pythagorean Theorem and Its Converse
8.2
Special Right Triangles
8.3
Trigonometry
8.4
Angles of Elevation and Depression
8.5
Law of Sines and Cosines
8.6
Solving Right Triangles
8.7
Vectors
8.8
Geometric Mean
9. Transformations
9.1
Translations
9.2
Reflections
9.3
Rotations
9.4
Congruence Transformations
9.5
Dilations
9.6
Similarity Transformations
9.7
Composition of Transformations
9.8
Symmetry
10. Area
10.1
Areas of Parallelograms and Triangles
10.2
Areas of Trapezoids, Rhombuses, and Kites
10.3
Areas of Regular Polygons
10.4
Permeters and Areas of Similar Figures
10.5
Areas of Circles and Sectors
10.6
Geometric Probability
11. Surface Area and Volume
11.1
Surface Areas of Prisms and Cylinders
11.2
Surface Areas of Pyramids and Cones
11.3
Volumes of Prisms and Cylinders
11.4
Columes of Pyramids and Cones
11.5
Surface Area and Volumes of Spheres
11.6
Congruent and Similar Solids
11.7
Representations of Three-Dimensional Figures
11.8
Spherical Geometry
12. Circles
12.1
Tangents
12.2
Arcs and Chords
12.3
Inscribed Angles
12.4
Angle Measures and Segment Lengths
12.5
Circles in the Coordinate Plane
12.6
Circles and Circumference
12.7
Measuring Angles and Arcs
12.8
Special Segments in a Circle
12.9
Equations of Circles
12.10
Angle Relationships in Circles
12.11
Segment Relationships
13. Probability
13.1
Permutations and Combinations
13.2
Conditional Probability Formulas
13.3
Representing Sample Spaces
13.4
Simulations
13.5
Probabilities of Independent and Dependent Events
13.6
Probabilities of Mutally Exclusive Events
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