iShortcut Geometry Vol. 4: Circles

All too often students memorize concepts without fully understanding how they work. This method of learning is often frustrating and unsatisfying. IShortcut is different.

IShortcut simplifies fundamental concepts in Geometry by providing a range of interactive diagrams, illustrations, and figures. After each lesson, test your knowledge with review questions. 

Don’t struggle reading lengthy explanations. Learn by engaging with interactive diagrams. Each diagram gives you the ability to manipulate visuals. As you transform the visual, you can see how variables, and circles change. After using this system, you’ll have a strong understanding of these essential concepts.

This book is suitable for grade 6 and higher and is at the level of high school geometry. 

If a picture is worth a thousand words, then an interactive diagram is worth a thousand pictures. Don’t waste time trying to visualize the concept in your head. Simply engage with this system and master geometry.

This is the fourth volume of a five volume series on Geometry. 

Lines and Angles

Triangles

Polygons

Circles

Cylinders, Cones, and Spheres

The book is separated into seven chapters:

1) Properties

What is a Circle.

  Radius, Diameter and Circumference.

  Pi(π).

  Degree measure. 

2) Arc and Area

Arc of a Circle.

  Area of a Circle. 

3 ) Chords, Tangents, Inscribed Angles +

  what is a chord.

  Chord Properties.

  Tangent.

Tangent Properties.

  Inscribed Angles.

Inscribed Angles Properties.

  Secant Lines and Angles.

        Secant angle measure inside a circle.

  Secant angle measure outside a circle.

  Tangent Segment Theorem.

  Intersecting Chords Theorem.

 Inscribed Circles and polygons

Tangent Circles.

Inscribed Circle.

Inscribed Triangle.

Inscribed Polygon.

5) Problem solving

Problem solving involving circles.

6) Appendix

Exponent and Square Roots.

Pythagorean Theorem.

7) iShortcut Geometry

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