
Points, Lines, Planes, and Angles 






1  (4) 

Points, Lines, and Planes 


5  (6) 

Definitions and Postulates 



Segments, Rays, and Distance 


11  (6) 


17  (5) 

Postulates and Theorems Relating Points, Lines, and Planes 


22  (11) 



Using Deductive Reasoning 



IfThen Statements; Converses 


33  (4) 


37  (6) 


43  (7) 

Theorems about Angles and Perpendicular Lines 




50  (6) 


56  (4) 


60  (13) 

Parallel Lines and Planes 



When Lines and Planes Are Parallel 




73  (5) 

Properties of Parallel Lines 


78  (5) 


83  (10) 

Applying Parallel Lines to Polygons 




93  (8) 


101  (5) 


106  (11) 



Corresponding Parts in a Congruence 




117  (5) 

Some Ways to Prove Triangles Congruent 


122  (5) 

Using Congruent Triangles 


127  (7) 

Some Theorems Based on Congruent Triangles 



The Isosceles Triangle Theorems 


134  (6) 

Other Methods of Proving Triangles Congruent 


140  (6) 

More about Proof in Geometry 



Using More than One Pair of Congruent Triangles 


146  (6) 

Medians, Altitudes, and Perpendicular Bisectors 


152  (15) 





Properties of Parallelograms 


167  (5) 

Ways to Prove that Quadrilaterals Are Parallelograms 


172  (5) 

Theorems Involving Parallel Lines 


177  (7) 




184  (6) 


190  (13) 



Inequalities and Indirect Proof 




203  (5) 

Inverses and Contrapositives 


208  (6) 


214  (5) 

Inequalities in Triangles 



Inequalities for One Triangle 


219  (9) 

Inequalities for Two Triangles 


228  (13) 



Ratio, Proportion, and Similarity 




241  (4) 

Properties of Proportions 


245  (3) 


248  (6) 

Working with Similar Triangles 



A Postulate for Similar Triangles 


254  (9) 

Theorems for Similar Triangles 


263  (6) 


269  (16) 





Similarity in Right Triangles 


285  (5) 


290  (5) 

The Converse of the Pythagorean Theorem 


295  (5) 


300  (5) 




305  (7) 

The Sine and Cosine Ratios 


312  (5) 

Applications of Right Triangle Trigonometry 


317  (12) 



Tangents, Arcs, and Chords 




329  (4) 


333  (6) 


339  (5) 


344  (5) 




349  (8) 


357  (4) 

Circles and Lengths of Segments 


361  (14) 






375  (5) 

Perpendiculars and Parallels 


380  (6) 


386  (6) 




392  (4) 


396  (5) 




401  (4) 


405  (5) 


410  (13) 






423  (6) 

Areas of Parallelograms, Triangles, and Rhombuses 


429  (6) 


435  (5) 

Areas of Regular Polygons 


440  (5) 

Circles, Similar Figures, and Geometric Probability 



Circumferences and Areas of Circles 


445  (7) 

Arc Lengths and Areas of Sectors 


452  (4) 


456  (5) 


461  (14) 

Areas and Volumes of Solids 






475  (7) 


482  (8) 


490  (7) 




497  (11) 

Areas and Volumes of Similar Solids 


508  (15) 






523  (6) 


529  (6) 

Parallel and Perpendicular Lines 


535  (4) 


539  (5) 


544  (4) 

Lines and Coordinate Geometry Proofs 



Graphing Linear Equations 


548  (5) 


553  (3) 

Organizing Coordinate Proofs 


556  (4) 

Coordinate Geometry Proofs 


560  (11) 






571  (6) 


577  (6) 

Translations and Glide Reflections 


583  (5) 


588  (4) 


592  (7) 




599  (6) 

Inverses and the Identity 


605  (4) 

Symmetry in the Plane and in Space 


609  (17) 


626  (14) 


640  (4) 


644  (11) 


655  (2) 

Handbook for Integrating Coordinate and Transformational Geometry 


657  (19) 


676  (8) 


684  (8) 


692  (1) 


693  (8) 


701  (1) 


702  (8) 

Constructions Using Paper Folding 


710  (6) 

Coordinates in Three Dimensions 


716  (3) 

Changing the Dimensions of Geometric Figures 


719  (3) 

Relationships Among Sine, Cosine, and Tangent 


722  (4) 
Glossary 

726  (7) 
Index 

733  