Geometry Videos

Cynthia Silverio Rosenzweig, Instructor

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Chapters Sections Videos

Chapter 1. Basic Geometry

1.1 Lines, Angles and Shapes

📹 Introduction to Lines and Angles

📹 Measures of Angles

📹 Parallel and Perpendicular Lines

📹 Polygons

1.2 Pythagorean Theorem

📹 Pythagorean Theorem

1.3 Perimeter and Circumference

📹 Perimeter and Circumference

1.4 Area

📹 Area of a Composite Figure

📹 Area of a Shaded Region

📹 Area Density

Chapter 2. Coordinate Geometry

2.1 Forms of Linear Equations

📹 Point-Slope Form

📹 Standard Form

2.2 Parallel and Perpendicular Lines

📹 Parallel and Perpendicular Lines

2.3 Distance Formula

📹 Distance Between Two Points

📹 Distance Between A Point and a Line

2.4 Midpoint Formula

📹 Midpoint Formula

2.5 Perpendicular Bisectors

📹 Perpendicular Bisectors

2.6 Directed Line Segments

📹 Directed Line Segments

Chapter 3. Polygons in the Coordinate Plane

3.1 Triangles in the Coordinate Plane

📹 Triangles in the Coordinate Plane

3.2 Quadrilaterals in the Coordinate Plane

📹 Quadrilaterals in the Coordinate Plane

3.3 Perimeter and Area using Coordinates

📹 Using the Distance Formula

📹 Using the Rectangle Method

📹 Using the Shoelace Method

Chapter 4. Rigid Motions

4.1 Translations

📹 Translations

4.2 Line Reflections

📹 Reflections Over a Special Line

📹 Reflections Over a Generic Line

4.3 Rotations

📹 Visualize Rotations

📹 Rotations Around the Origin

📹 Rotations Around Points Other Than the Origin

4.4 Point Reflections

📹 Point Reflections

4.5 Carry a Polygon onto Itself

📹 Carry a Polygon onto Itself

Chapter 5. Dilations

5.1 Dilations of Line Segments

📹 Dilations of Segments from the Origin

📹 Dilations of Segments from Any Center Point

5.2 Dilations of Polygons

📹 Dilations of Polygons

5.3 Dilations of Lines

📹 Dilations of Lines from the Origin

📹 Dilations of Lines from Any Center Point

Chapter 6. Transformation Proofs

6.1 Properties of Transformations

📹 Preserving Congruency or Similarity

📹 Identify a Transformation

6.2 Graph Sequences of Transformations

📹 Graph Sequences of Transformations

6.3 Determine Sequences of Transformations

📹 With Intermediate Images Shown

📹 With Intermediate Images Not Shown

📹 With Coordinate Grids Not Shown

6.4 Prove Congruency or Similarity

📹 Prove Congruency or Similarity

Chapter 7. Circles in the Coordinate Plane

7.1 Equation of a Circle

📹 Equation of a Circle

7.2 Graph Circles

📹 Graph Circles

Chapter 8. Foundations of Euclidean Geometry

8.1 Postulates, Theorems and Proofs

📹 Apply Postulates and Theorems

📹 Write Proofs

8.2 Parallel Lines and Transversals

📹 Relationships Among Angles

📹 Write Proofs

Chapter 9. Triangles and Congruence

9.1 Angles of Triangles

📹 Angles of Triangles

9.2 Triangle Inequality Theorem

📹 Triangle Inequality Theorem

9.3 Segments in Triangles

📹 Segments in Triangles

9.4 Isosceles and Equilateral Triangles

📹 Isosceles and Equilateral Triangles

9.5 Triangle Congruence Methods

📹 Triangle Congruence Methods

9.6 Prove Triangles Congruent

📹 Prove Triangles Congruent

9.7 Overlapping Triangles

📹 Selecting a Congruence Method

📹 Writing a Proof

Chapter 10. Triangles and Similarity

10.1 Properties of Similar Triangles

📹 Properties of Similar Triangles

10.2 Triangle Similarity Methods

📹 Triangle Similarity Methods

10.3 Prove Triangles Similar

📹 Prove Triangles Similar

10.4 Triangle Angle Bisector Theorem

📹 Triangle Angle Bisector Theorem

10.5 Side Splitter Theorem

📹 Side Splitter Theorem

10.6 Triangle Midsegment Theorem

📹 Triangle Midsegment Theorem

Chapter 11. Points of Concurrency

11.1 Incenter and Circumcenter

📹 Incenter and Circumcenter

11.2 Orthocenter and Centroid

📹 Orthocenter and Centroid

Chapter 12. Right Triangles

12.1 Congruent Right Triangles

📹 Congruent Right Triangles

12.2 Equidistance Theorems

📹 Angle Bisector Equidistance

📹 Perpendicular Bisector Equidistance

12.3 Geometric Mean Theorems

📹 Geometric Mean Theorems

Chapter 13. Trigonometry

13.1 Trigonometric Ratios

📹 Trigonometric Ratios

13.2 Use Trigonometry to Find a Side

📹 Use Trigonometry to Find a Side

13.3 Use Trigonometry to Find an Angle

📹 Use Trigonometry to Find an Angle

13.4 Special Triangles

📹 Special Triangles

13.5 Cofunctions

📹 Cofunctions

13.6 SAS Sine Formula for Area of a Triangle

📹 SAS Sine Formula for Area of a Triangle

Chapter 14. Quadrilaterals

14.1 Angles of Polygons

📹 Angles of Polygons

14.2 Properties of Quadrilaterals

📹 Properties of Quadrilaterals

14.3 Use Quadrilateral Properties in Proofs

📹 Use Quadrilateral Properties in Proofs

14.4 Prove Types of Quadrilaterals

📹 Prove a Quadrilateral is a Parallelogram

📹 Prove a Parallelogram is a Rhombus or Rectangle

14.5 Trapezoids

📹 Trapezoids

Chapter 15. Circles

15.1 Circumference and Rotation

📹 Circumference and Rotation

15.2 Arcs and Chords

📹 Central and Inscribed Angles

📹 Inscribed Quadrilaterals

15.7 Arc Lengths and Sectors

📹 Arc Lengths and Sectors

Chapter 16. Solids

16.1 Volume of a Sphere

📹 Volume of a Sphere

16.2 Volume of a Prism or Cylinder

📹 Volume of a Prism or Cylinder

16.3 Volume of a Pyramid or Cone

📹 Volume of a Pyramid or Cone

16.4 Density

📹 Density

16.5 Rotations of Two-Dimensional Objects

📹 Basic Solids of Revolution

📹 Composite Solids of Revolution

16.6 Cross Sections

📹 Cross Sections

Chapter 17. Constructions

17.1 Copy Segments, Angles, and Triangles

📹 Copy Segments, Angles, and Triangles

17.2 Construct an Equilateral Triangle

📹 Construct an Equilateral Triangle

17.3 Construct an Angle Bisector

📹 Construct an Angle Bisector

17.4 Construct a Perpendicular Bisector

📹 Construct a Perpendicular Bisector

17.5 Construct Lines Through a Point

📹 Construct a Parallel Line Through a Point

📹 Construct a Perpendicular Line Through a Point

17.6 Construct Inscribed Regular Polygons

📹 Construct Inscribed Regular Polygons

17.7 Construct Points of Concurrency

📹 Construct Points of Concurrency

17.8 Construct Circles of Triangles

📹 Construct Circles of Triangles

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