Outline
Illustrations Without Words
- Author:
- Mrs. Urmson, Tim Brzezinski
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 (Part 1)
- 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)