Outline
Illustrations Without Words
Contains many dynamic illustrations WITHOUT words, segment lengths, and angle measures. In these applets, the slider governs all applet dynamics. These applets can be used to help a student informally & visually discover a mathematics concept and/or meaningfully recall a certain concept. Enjoy!
Table of Contents
Writing Prompts: Definitions & Theorems
- Congruent Angles: Definition
- Congruent Segments: Quick Exploration
- Midpoint Definition
- Perpendicular Bisector Definition
- Angle Bisector Definition (I)
- Complementary Meaning?
- Supplementary Angles (Quick Exploration)
- A Special Theorem: Part 2 (V2)
- A Special Theorem: Part 2 (V3)
- A Special Theorem: Part 2 (V4)
- Another Special Theorem: Part 1 (V2)
- Another Special Theorem: Part 1 (V3)
Parallel Lines & Related Angles
- Vertical Angles Theorem
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles Theorem (V1)
- Exploring Alternate Interior Angles (V2)
- Alternate Interior Angles Theorem (V3)
- Alternate Exterior Angles Theorem (V1)
- Exploring Alternate Exterior Angles (V2)
- Alternate Exterior Angles Theorem (V3)
- Same Side Interior Angles Theorem
- Exploring Same Side Exterior Angles
Polygons & Angles: Interior & Exterior Angles
Polygons: Exterior Angles Only
Quadrilaterals: Theorems & Properties
- Parallelograms (I)
- Parallelogram Diagonals
- Quad Midpoints Action!
- Rhombus Action!
- Rhombus Diagonals
- Rectangle Action!
- Rectangle Diagonals
- Square Action!
- Isosceles Trapezoid Action!
- Trapezoid Median: 2 Discoveries
- Isosceles Trapezoid Diagonals
- Isosceles Trapezoid Midpoints
- Kite Action!
- SSSS: Similar Quads?
- AAA: Similar Quads?
- Trapezoid Median (Midsegment) Action!
- Thebault Action!!!
Triangles: Theorems & Properties
- Similar Right Triangles (V1)
- AA Similarity Theorem
- SAS ~ Theorem
- SSS ~ Theorem (V1)
- SSS ~ Theorem (V2)
- Triangle Midsegment
- Parallel Lines Proportionality Theorem
- Triangle-Angle Bisector Theorem
- A Special Triangle & Its Properties (I)
- Isosceles Triangle Medians
- Triangle Midsegment Action!
- Another Special Triangle and its Properties (II)
- Special Right Triangle (I)
- Another Special Right Triangle (Guided Discovery)
- Vivani Action!
- Napoleon Motion!
- Incenter & Incircle Action!
- Medians and Centroid Dance
- Circumcenter & Circumcircle Action!
- 3 Special Points!
- 9 Point Circle Action
- 9-Point Circle Action (Part 2)
- 9-Point Circle Action (Part 4)
- 9-Point Circle Action (Part 3B)
- Converse of IST (V1)
- Converse of IST (II)
Circle Theorems
- Properties of Tangents Drawn to Circles (A)
- Properties of Tangents Drawn to Circles (B)
- Diameters & Chords I (VA)
- Diameters & Chords I (VB)
- Congruent Chords (I)
- Inscribed Angle Theorem (V1)
- Inscribed Angle Theorem: Corollary 1
- Where to Sit? (I)
- Thales' Theorem (VB)
- Inscribed Angle Intercepts Semicircle
- Cyclic Quadrilaterals (IAT: Corollary 3)
- Angle Formed by Chord & Tangent (I)
- Angle Formed by Chord & Tangent (II)
- Angle Formed by 2 Chords (I)
- Angle Formed by 2 Chords (II)
- Crossing Chords: Proof Hint
- Angles from Secants and Tangents (V1)
- Angle From 2 Secants (V2)
- Secants: Proof Hint
Area, Surface Area, Volume
Conic Sections: Definitions & Properties
Older Versions of Some Proofs in First Few Chapters
- Triangle Interior & Exterior Angle Sum Theorems (II)
- Quadrilateral Interior & Exterior Angle Sum Theorems (V2)
- Quadrilateral Interior & Exterior Angle Sum Theorems (V2)
- Pentagon Interior & Exterior Angle Sum Theorems
- Hexagon Interior & Exterior Angle Sum Theorems
- Heptagon Interior & Exterior Angle Sum Theorems
- Octagon Interior & Exterior Angle Sum Theorems
- Inscribed Angle Theorem (Intro): What Do You See Here?
- Angle formed by a Secant & Tangent: What Do You See? (V1)
- Angle Formed by a Secant & Tangent: What Do You See? (V2)
- Angle Formed by 2 Tangents (V2): What Do You See?
- Cyclic Quadrilaterals
- Inscribed Angle Action !!!
- Inscribed Angle Action! (2 Theorems)
- Angle Formed by 2 Chords (V1): What Do You See?
- Angle Formed by 2 Chords (V2): What Do You See?
- Similar Right Triangles (II)
- Area of a Parallelogram (Discovery)