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Chapter 1: Essentials of Geometry
1.1 Identify Points, Lines, and Planes
1.2 Use Segments and Congruence
1.3 Use Midpoint and Distance Formulas
1.4 Measure and Classify Angles
1.5 Describe Angle Pair Relationships
1.6 Classify Polygons
1.7 Find Perimeter, Circumference, and Area
Chapter 2: Reasoning and Proof
2.1 Use Inductive Reasoning
2.2 Analyze Conditional Statements
2.3 Apply Deductive Reasoning
2.4 Use Postulates and Diagrams
2.5 Reason Using Properties from Algebra
2.6 Prove Statements about Segments and Angles
2.7 Prove Angle Pair Relationships
Chapter 3: Parallel and Perpendicular Lines
3.1 Identify Pairs of Lines and Angles
3.2 Use Parallel Lines and Transversals
3.3 Prove Lines are Parallel
3.4 Find and Use Slopes of Lines
3.5 Write and Graph Equations of Lines
3.6 Prove Theorems about Perpendicular Lines
Chapter 4: Congruent Triangles
4.1 Apply Triangle Sum Properties
4.2 Apply Congruence and Triangles
4.3 Prove Triangles Congruent by SSS
4.4 Prove Triangles Congruent by SAS and HL
4.5 Prove Triangles Congruent by ASA and AAS
4.6 Use Congruent Triangles
4.7 Use Isosceles and Equilateral Triangles
4.8 Perform Congruence Transformations
Chapter 5: Relationships within Triangles
5.1 Midsegment Theorem and Coordinate Proof
5.2 Use Perpendicular Bisectors
5.3 Use Angle Bisectors of Triangles
5.4 Use Medians and Altitudes
5.5 Use Inequalities in a Triangle
5.6 Inequalities in Two Triangles and Indirect Proof
Chapter 6: Similarity
6.1 Ratios, Proportions, and the Geometric Mean
6.2 Use Proportions to Solve Geometry Problems
6.3 Use Similar Polygons
6.4 Prove Triangles Similar by AA
6.5 Prove Triangles Similar by SSS and SAS
6.6 Use Proportionality Theorems
6.7 Perform Similarity Transformations
Chapter 7: Right Triangles and Trigonometry
7.1 Apply the Pythagorean Theorem
7.2 Use the Converse of the Pythagorean Theorem
7.3 Use Similar Right Triangles
7.4 Special Right Triangles
7.5 Apply the Tangent Ratio
7.6 Apply the Sine and Cosine Ratios
7.7 Solve Right Triangles
Chapter 8: Quadrilaterals
8.1 Find Angle Measures in Polygons
8.2 Use Properties of Parallelograms
8.3 Show that a Quadrilateral is a Parallelogram
8.4 Properties of Rhombuses, Rectangles, and Squares
8.5 Use Properties of Trapezoids and Kites
8.6 Identify Special Quadrilaterals
Chapter 9: Properties of Transformations
9.1 Translate Figures and Use Vectors
9.2 Use Properties of Matrices
9.3 Perform Reflections
9.4 Perform Rotations
9.5 Apply Compositions of Transformations
9.6 Identify Symmetry
9.7 Identify and Perform Dilations
Chapter 10: Properties of Circles
10.1 Use Properties of Tangents
10.2 Find Arc Measures
10.3 Apply Properties of Chords
10.4 Use Inscribed Angles and Polygons
10.5 Apply Other Angle Relationships in Circles
10.6 Find Segment Lengths in Circles
10.7 Write and Graph Equations of Circles
Chapter 11: Measuring Length and Area
11.1 Areas of Triangles and Parallelograms
11.2 Areas of Trapezoids, Rhombuses, and Kites
11.3 Perimeter and Area of Similar Figures
11.4 Circumference and Arc Length
11.5 Areas of Circles and Sectors
11.6 Areas of Regular Polygons
11.7 Use Geometric Probability
Chapter 12: Surface Area and Volume of Solids
12.1 Explore Solids
12.2 Surface Area of Prisms and Cylinders
12.3 Surface Area of Pyramids and Cones
12.4 Volume of Prisms and Cylinders
12.5 Volume of Pyramids and Cones
12.6 Surface Area and Volume of Spheres
12.7 Explore Similar Solids
Geometry
3.6 Prove Theorems about Perpendicular Lines
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Parallel lines
Perpendicular lines
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