Download Notes Summary Topics

Geometry Notes Summary Topics
Sections:
 Definitions
 Formulas
 Methods to find angle measures
o congruent angles
- with parallel lines
- other methods
o computing other angle measures
 Methods to prove lines are parallel or perpendicular
 Right triangle concepts (theorems only used in RIGHT triangles)
 Methods to prove triangles are similar
 Methods to prove triangles are congruent
 Methods to find measurements of angles or sides of triangles and other polygons
 Types of proofs
Unit 1 Coordinate Geometry:
Define terms: point, line, segment, ray, plane, angle
Lesson 1: Points, Lines, and Planes (PH text 1.2)
Lesson 2: Measuring Segments (PH text 1.3)
Lesson 3: Measuring Angles (PH text 1.4)
Lesson 4: Exploring Angle Pairs (PH text 1.5, 2.6)
Lesson 5: Midpoint and Distance in the Coordinate Plane (PH text 1.7)
Lesson 6: Perimeter, Circumference and Area (PH text 1.8)
Lesson 11: Lines and Angles (PH text 3.1)
Lesson 12: Properties of Parallel Lines (PH text 3.2)
Lesson 13: Proving Lines Parallel (PH text 3.3)
Lesson 14: Parallel and Perpendicular Lines (PH text 3.4)
Lesson 15: Parallel Lines and Triangles (PH text 3.5)
Lesson 16: Equations of Lines in the Coordinate Plane (PH text 3.7)
Lesson 17: Slopes of Parallel and Perpendicular Lines (PH text 3.8)
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Definitions – know well enough that you can answer “always/sometimes/never” type
questions
Ways to prove angles congruent
Unit 2 Right Triangles:
Lesson 1: Ratio, Proportion and Similarity (PH text 7.1-2)
Lesson 2: Proving Triangles Similar: AA, SAS, and SSS (PH text 7.3)
Lesson 3: Similarity in Right Triangles (PH text 7.4)
Two examples of using the geometric mean to find a side length or altitude
Lesson 4: The Pythagorean Theorem and Its Converse (PH text 8.1)
Lesson 5: Special Right Triangles (PH text 8.2)
Lesson 6: The Tangent Ratio (PH text 8.3)
Lesson 7: The Sine and Cosine Ratios (PH text 8.3)
Lesson 8: Angles of Elevation and Depression (PH text 8.4)
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Unit 3: Two-Dimensional Shapes:
Lesson 1: Congruent Figures (PH text 4.1)
Lesson 2: Triangle Congruence by SSS and SAS (PH text 4.2)
Lesson 3: Triangle Congruence by ASA and AAS (PH text 4.3)
Lesson 4: Using Corresponding Parts of Congruent Triangles (PH text 4.4)
Lesson 5: Isosceles and Equilateral Triangles (PH text 4.5)
Lesson 6: Congruence in Right Triangles (PH text 4.6)
Lesson 7: Congruence in Overlapping Triangles (PH text 4.7)
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Ways to prove triangles are congruent – five ways
Lesson 8: Midsegments of Triangles (PH text 5.1)
Lesson 9: Perpendicular and Angle Bisectors (PH text 5.2)
Lesson 10: Bisectors in Triangles (PH text 5.3)
Lesson 11: Medians and Altitudes (PH text 5.4) – see summary on notes p.46
Lesson 12: Indirect Proof (PH text 5.5)
Lesson 13: Inequalities in One Triangle (PH text 5.6)
Lesson 14: Inequalities in Two Triangles (PH text 5.7)
Unit 3: Two-Dimensional Shapes:
Part 2:
Lesson 15: The Polygon-Angle Sum Theorems (PH text 6.1)
Lesson 16: Properties of Parallelograms (PH text 6.2)
Lesson 17: Proving that a Quadrilateral is a Parallelogram (PH text 6.3)
Lesson 18: Properties of Rhombuses, Rectangles, and Squares (PH text 6.4)
Lesson 19: Conditions for Rhombuses, Rectangles, and Squares (PH text 6.5)
Lesson 20: Trapezoids and Kites (PH text 6.6)
Lesson 21: Polygons in the Coordinate Plane (PH text 6.7)
Lesson 22: Applying Coordinate Geometry (PH text 6.8)
Lesson 23: Proofs Using Coordinate Geometry (PH 6.9)
Lesson 24: Proportions in Triangles (PH text 7.5)
Lesson 25: Areas of Parallelograms and Triangles (PH text 10.1)
Lesson 26: Areas of Trapezoids, Rhombuses and Kites (PH text 10.2)
Lesson 27: Areas of Regular Polygons (PH text 10.3)
Lesson 28: Perimeters and Areas of Similar Figures (PH text 10.4)
Lesson 29: Trigonometry and Area (PH text 10.5)
Lesson 30: Geometric Probability
Unit 4 Circles Topics:
Lesson 1: Circles and Arcs (PH text 10.6)
Lesson 2: Areas of Circles, Sectors, and Segments of Circles (PH text 10.7)
Lesson 3: Geometric Probability (PH text 10.8)
Lesson 4: Tangent Lines (PH text 12.1)
Lesson 5: Chords and Arcs (PH text 12.2)
Lesson 6: Inscribed Angles (PH text 12.3)
Lesson 7: Angle Measures and Segment Lengths (PH text 12.4)
Lesson 8: Circles in the Coordinate Plane (PH text 12.5)
Unit 5 Three Dimensional Shapes Topics:
Lesson 1: Space Figures and Cross Sections(PH text 11.1)
Lesson 2: Surface Areas of Prisms and Cylinders (PH text 11.2)
Lesson 3: Surface Areas of Pyramids and Cones (PH text 11.3)
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Lesson 4:
Lesson 5:
Lesson 6:
Lesson 7:
Volumes of Prisms and Cylinders (PH text 11.4)
Volumes of Pyramids and Cones (PH text 11.5)
Surface Areas and Volumes of Spheres (PH text 11.6)
Areas and Volumes of Similar Solids (PH text 11.7)
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