Basics of Geometry
- Patterns and Inductive Reasoning
- Points, Lines, Planes
- Segments and Their Measures
- Angles and Their Measures
- Segment and Angle Bisectors
- Angle Pair Relationships
- Perimeter, Circumference, Are
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Reasoning and Proof
- Conditional Statements
- Definitions and Biconditional Statements
- Deductive Reasoning
- Reason with Properties of Algebra
- Prove Statements about Segments
- Prove Statements about Angles
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Perpendicular and Parallel Lines
- Lines and Angles
- Proof and Perpendicular Lines
- Parallel Lines and Transversals
- Use Properties of Parallel Lines
- Parallel Lines in the Coordinate Plane
- Perpendicular Lines in the Coordinate Plane
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Congruent Triangles
- Triangles and Angles
- Congruence and Triangles
- Prove Congruence: SSS and SAS
- Prove Congruence: ASA and AAS
- Use Congruent Triangles
- Isosceles, Equilateral and Right Triangles
- Triangles and Coordinate Proof
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Properties of Triangles
- Perpendiculars and Bisectors
- Bisectors of a Triangle
- Medians and Altitudes of a Triangle
- Midsegment Theorem
- Inequalities in One Triangle
- Indirect Proof Anf Inequalities in Two Triangles
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Quadrilaterals
- Polygons
- Properties of Parallelograms
- Prove Quadrilaterals are Parallelograms
- Rhombuses, Rectangles and Squares
- Trapezoids and Kites
- Special Quadrilaterals
- Area: Triangles and Quadrilateral
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Transformations
- Rigid Motion in a Plane
- Reflections
- Rotations
- Translations and Vectors
- Glide Reflections and Compositions
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Similarity
- Ratio and Proportion
- Geometry Problems with Proportion
- Similar Polygons
- Prove Triangles Similar
- Proportions and Similar Triangles
- Dilations
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Right Triangles
- Similar Right Triangles
- Pythagorean Theorem
- Converse of Pythagorean Theorem
- Special Right Triangles
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Circles
- Tangents to Circle
- Arcs and Chords
- Inscribed Angles
- Angle Relationships in Circles
- Segment Lengths in Circles
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Areas of Polygons and Circles
- Angle Measures in Polygons
- Areas of Regular Polygons
- Perimeter and Areas of Similar Figures
- Circumference and Arc Length
- Areas of Circles and Sectors
- Geometric Probability
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Surface Area and Volume
- Explore Solids
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Surface Area and Volume of Spheres
- Similar Solids
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