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Geometry Common Core Pearson
Geometry Common Core Pearson
ISBN: /
Chapter 1 Tools of Geometry
1.1 Nets and Drawings for Visualizing Geometry
54
1.2 Points, Lines, and Planes
1.3 Measuring Segments
1.4 Measuring Angles
1.5 Exploring Angle Pairs
1.6 Basic Constructions
1.7 Midpoint and Distance in the Coordinates Plane
1.8 Perimeter, Circumference, and Area
Chapter 2 Reasoning and Proof
2.1 Patterns and Inductive Reasoning
2.2 Conditional Statements
2.3 Biconditionals and Definitions
2.4 Deductive Reasoning
2.5 Reasoning in Algebra and Geometry
2.6 Proving Angles Congruent
Chapter 3 Parallel and Perpendicular Lines
3.1 Lines and Angles
3.2 Properties of Parallel Lines
3.3 Proving Lines Parallel
3.4 Parallel and Perpendicular Lines
3.5 Parallel Lines and Triangles
3.6 Constructing Parallel and Perpendicular Lines
3.7 Equations of Lines in the Coordinate Plane
3.8 Slopes of Parallel and Perpendicular Lines
Chapter 4 Congruent Triangles
4.1 Congruent Figures
4.2 Triangle Congruence by SSS and SAS
4.3 Triangle Congruence by ASA and AAS
4.4 Using Corresponding Parts of Congruent Triangles
4.5 Isosceles and Equilateral Triangles
4.6 Congruence in Right Triangles
4.6 Congruence in Overlapping Triangles
4.7 Congruence in Overlapping Triangles
Chapter 5 Relations within Triangles
5.1 Midsegments of Triangles
5.2 Perpendicular and Angle Bisectors
5.3 Bisectors in Triangles
5.4 Medians and Altitudes
5.5 Indirect Proof
5.6 Inequalities in One Triangle
5.7 Inequalities in Two Triangles
Chapter 6 Polygons and Quadrilaterals
6.1 The Polygon Angle-Sum Theorems
6.2 Properties of Parallelograms
6.3 Proving That a Quadrilateral Is a Parallelogram
6.4 Properties of Rhombuses, Rectangles, and Squares
6.5 Conditions for Rhombuses, Rectangles, and Squares
6.6 Trapezoids and Kites
6.7 Polygons in the Coordinate Plane
p.400
6.8 Applying Coordinate Geometry
p.406
6.9 Proofs Using Coordinate Geometry
p.414
Chapter 7 Similarity
7.1 Ratios and Proportions
60
7.2 Similar Polygons
50
7.3 Proving Triangles Similar
52
7.4 Similarity in Right Triangles
56
7.5 Proportions in Triangles
64
p.474
Chapter Test
Chapter 8 Right Triangles and Trigonometry
8.1 The Pythagorean Theorem and Its Converse
8.2 Special Right Triangles
6
8.3 Trigonometry
11
8.4 Angles of Elevation and Depression
5
8.5 Laws of Sines
11
8.6 Laws at Cosines
7
Chapter 9 Transformations
9.1 Translations
9.2 Reflections
9.3 Rotations
9.4 Compositions of Isometries
9.5 Congruence Transformations
9.6 Dilations
9.7 Similarity Transformations
Chapter 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 Perimeters and Areas of Similar Figures
10.5 Trigonometry and Area
10.6 Circles and Arcs
10.7 Areas of Circles and Sectors
10.8 Geometric Probability
Chapter 11 Surface Area and Volume
11.1 Space Figures and Cross Sections
11.2 Surface Areas of Prisms and Cylinders
11.3 Surface Areas of Pyramids and Cones
11.4 Volumes of Prisms and Cylinders
11.5 Volumes of Pyramids and Cones
11.6 Surface Areas and Volumes of Spheres
11.7 Areas and Volumes of Similar Solids
Chapter 12 Circles
12.1 Tangent Lines
12.2 Chords and Arcs
12.3 Inscribed Angles
8
12.4 Angle Measures and Segment Lengths
12.5 Circles in the Coordinate Plane
12.6 Locus: A Set of Points
Chapter 13 Probability
13.1 Experimental and Theoretical Probability
13.2 Probability Distributions and Frequency Tables
13.3 Permutations and Combinations
13.4 Compound Probability
13.5 Probability Models
13.6 Conditional Probability Formulas
13.7 Modeling Randomness