 |
CH 4
CH 8
CH 12 | # |
|
| CH 1 |
ESSENTIALS OF GEOMETRY | |
WS |
PDF |
SAT |
TE |
| 1-1 |
Undefined Terms | |
|
|
|
|
| 1-2 |
The Real Numbers and Their Properties | |
|
|
ACY |
|
| 1-3 |
Definitions, Lines, and Line Segments | |
|
|
|
|
| 1-4 |
Midpoints and Bisectors | |
|
|
|
|
| 1-5 |
Rays and Angles | |
|
|
|
|
| 1-6 |
More Angle Definitions | |
|
|
|
|
| 1-7 |
Triangles | |
|
|
ACY |
|
| CH 2 |
LOGIC | |
|
|
SAT |
TE |
| 2-1 |
Sentences, Statements, and Truth Values | |
|
|
ACY |
|
| 2-2 |
Conjunctions | |
|
|
|
|
| 2-3 |
Disjunctions | |
|
|
ACY |
|
| 2-4 |
Conditionals | |
|
|
|
|
| 2-5 |
Inverses, Converses, and Contrapositives | |
|
|
|
|
| 2-6 |
Biconditionals | |
|
|
|
|
| 2-7 |
The Laws of Logic | |
|
|
|
|
| 2-8 |
Drawing Conclusions | |
|
|
|
|
| CH 3 |
PROVING STATEMENTS IN GEOMETRY | |
|
|
SAT |
TE |
| 3-1 |
Inductive Reasoning | |
|
|
|
|
| 3-2 |
Definitions as Biconditionals | |
|
|
ACY |
|
| 3-3 |
Deductive Reasoning | |
|
|
|
|
| 3-4 |
Direct and Indirect Proofs | |
|
|
|
|
| 3-5 |
Postulates, Theorems, and Proof | |
|
|
|
|
| 3-6 |
The Substitution Postulate | |
|
|
ACY |
|
| 3-7 |
The Addition and Subtraction Postulates | |
|
|
|
|
| 3-8 |
The Multiplication and Division Postulates | |
|
|
|
|
|
CH 4 |
CONGRUENCE OF LINE SEGMENTS, ANGLES, AND
TRIANGLES | |
|
|
SAT |
TE |
| 4-1 |
Postulates of Lines, Line Segments, and Angles | |
|
|
ACY |
|
| 4-2 |
Using Postulates and Definitions in Proofs | |
|
|
|
|
| 4-3 |
Proving Theorems About Angles | |
|
|
|
|
| 4-4 |
Congruent Polygons and Corresponding Parts | |
|
|
|
|
| 4-5 |
Proving Triangles Congruent Using Side, Angle, Side | |
|
|
|
|
| 4-6 |
Proving Triangles Congruent Using Angle, Side, Angle | |
|
|
|
|
| 4-7 |
Proving Triangles Congruent Using Side, Side, Side | |
|
|
ACY |
|
| CH 5 |
CONGRUENCE BASED ON TRIANGLES | |
|
|
SAT |
TE |
| 5-1 |
Line Segments Associated with Triangles | |
|
|
|
|
| 5-2 |
Using Congruent Triangles to Prove Line Segments
Congruent and Angles Congruent | |
|
|
|
|
| 5-3 |
Isosceles and Equilateral Triangles | |
|
|
ACY |
|
| 5-4 |
Using Two Pairs of Congruent Triangles | |
|
|
|
|
| 5-5 |
Proving Overlapping Triangles Congruent | |
|
|
|
|
| 5-6 |
Perpendicular Bisector of a Line Segment | |
|
|
|
|
| 5-7 |
Basic Constructions | |
|
|
ACY |
|
| CH 6 |
TRANSFORMATIONS AND THE COORDINATE PLANE | |
|
|
SAT |
TE |
| 6-1 |
The Coordinates of a Point in a Plane | |
|
|
|
|
| 6-2 |
Line Reflections | |
|
|
|
|
| 6-3 |
Line Reflections in the Coordinate Plane | |
|
|
ACY |
|
| 6-4 |
Point Reflections in the Coordinate Plane | |
|
|
|
|
| 6-5 |
Translations in the Coordinate Plane | |
|
|
|
|
| 6-6 |
Rotations in the Coordinate Plane | |
|
|
ACY |
|
| 6-7 |
Glide Reflections | |
|
|
ACY |
|
| 6-8 |
Dilations in the Coordinate Plane | |
|
|
|
|
| 6-9 |
Transformations as Functions | |
|
|
|
|
| CH 7 |
GEOMETRIC INEQUALITIES |
|
|
|
SAT |
TE |
| 7-1 |
Basic Inequality Postulates | |
|
|
ACY |
|
| 7-2 |
Inequality Postulates Involving Addition and
Subtraction | |
|
|
|
|
| 7-3 |
Inequality Postulates Involving Multiplication and
Division | |
|
|
|
|
| 7-4 |
An Inequality Involving the Lengths of the Sides of
a Triangle | |
|
|
ACY |
|
| 7-5 |
An Inequality Involving an Exterior Angle of a
Triangle | |
|
|
|
|
| 7-6 |
Inequalities Involving Sides and Angles of a
Triangle | |
|
|
|
|
|
CH 8 |
SLOPES AND EQUATIONS OF LINES | |
|
|
SAT |
TE |
| 8-1 |
The Slope of a Line | |
|
|
|
|
| 8-2 |
The Equation of a Line | |
|
|
ACY |
|
| 8-3 |
Midpoint of a Line Segment | |
|
|
|
|
| 8-4 |
The Slopes of Perpendicular Lines | |
|
|
|
|
| 8-5 |
Coordinate Proof | |
|
|
ACY |
|
| 8-6 |
Concurrence of the Altitudes of a Triangle | |
|
|
|
|
| CH 9 |
PARALLEL LINES | |
|
|
SAT |
TE |
| 9-1 |
Proving Lines Parallel | |
|
|
|
|
| 9-2 |
Properties of Parallel Lines | |
|
|
|
|
