概要
Honors Geometry
目次
Introduction
Unit 1
- Messing With Lisa
- Congruent Segments: Quick Exploration
- Animation 18
- Congruent Angles: Definition
- Animation 36
- Midpoint Definition
- Segment Bisectors (Definitions)
- Perpendicular Bisector Definition
- Angle Bisector Definition
- Parallel & Perpendicular Consequence
- Complementary Angles Meaning
- Supplementary Angles Meaning
- Vertical Angles Theorem
- Animation 1
- Vertical Angles Exploration (2)
Unit 1a: Parallel & Perpendicular Lines in Coordinate Plane
Unit 2
Unit 3
- Transversal Intersects Parallel Lines
- Corresponding Angles: Quick Investigation
- Congruent Corresponding Angles to Start? (Quick Investigation)
- Corresponding Angles and Parallel Lines
- Alternate Interior Angles: Quick Investigation
- Alternate Interior Angles and Parallel Lines
- Exploring Alternate Interior Angles (V2)
- Alternate Exterior Angles: Quick Investigation
- Alternate Exterior Angles and Parallel Lines
- Exploring Alternate Exterior Angles (V2)
- Same-Side-Interior Angles: Quick Investigation
- Same Side Interior Angles and Parallel Lines
- Same-Side-Exterior Angles: Quick Investigation
- Same Side Exterior Angles and Parallel Lines
Polygon Interior & Exterior Angle Sum Theorems
Congruent Triangles
- Proving Tri's Congruent (I)
- Proving Tri's Congruent (II)
- SAS - Exercise 1A
- SAS - Exercise 1B
- SAS - Exercise 2
- SAS - Exercise 3
- SAS: Dynamic Proof!
- SSS: Dynamic Proof!
- SSS: Dynamically Illustrated
- ASA Theorem?
- SSA Theorem?
- Isosceles Triangle Theorem: Discovery Lab
- A Special Triangle & Its Properties (I)
- Converse of IST (V1)
- Another Special Triangle and its Properties (II)
- Converse of IST: Template
- Converse of IST (II)
- HL: Hypotenuse-Leg Action!
Coordinate Geometry Accessories
Some Locus Theorems
Constructions (Compass & Straightedge)!
- Congruent Segments Construction (I)
- Congruent Angle: Construction
- Angle Bisector: Construction
- Perpendicular Line: Construction 1
- Perpendicular Line: Construction 2
- Perpendicular Bisector: Construction
- Parallel Line: Constructions
- Congruent Triangle: Construction
- Other Constructions: 1
- Other Constructions: 2
- Regular Hexagon Construction Template
- Equilateral Triangle Construction Template
- Square Construction Template
Points of Concurrency
- Points of Concurrency: Investigation
- Orthocenter Exploration
- Circumcenter (& Questions)
- Circumcenter & Circumcircle Action!
- Circumcircle: Construction Exercise (VA)
- Incenter Exploration (A)
- Incenter Exploration (B)
- Incenter & Incircle Action!
- Incenter + Incircle Action (V2)!
- Incircle: Construction Exercise (VA)
- Medians and Centroid Dance
- Animation 25
- Medians & Equal Areas!
Parallelograms & Other Triangle Theorems
- Parallelogram Construction Template & Discovery Lab
- Parallelogram: Theorem 1
- Parallelogram: Theorem 2
- Parallelogram: Theorem (3)
- What Kind of Quadrilateral is This? (Part 1)
- What Kind of Quadrilateral is This? (Part 2)
- What Kind of Quadrilateral is This? (Part 3)
- What Kind of Quadrilateral is This? (Part 4)
- Special Quadrilateral: Theorem 1
- Special Quadrilateral: Theorem 2
- Special Quadrilateral: Theorem 3
- Special Quadrilateral: Theorem 4
- Effortless Trisections
- Special Line through Triangle V2 (Theorem Discovery)
- Triangle Midsegment Action!
Special Quadrilaterals: Investigations
Special Quadrilaterals: Illustrations without Words
Special Quadrilaterals: Quick Reference Applets
Coordinate Geometry Proof Prompts
- Parallelogram: Coordinate Geometry Setup
- Parallelogram Diagonals
- Isosceles Triangle Medians
- Rectangle Diagonals
- Isosceles Trapezoid Diagonals
- Isosceles Trapezoid Midpoints
- Rhombus Diagonals
- Inscribed Angle Intercepts Semicircle
- 3 Special Points!
- Finsler-Hadwiger Action!!!
- Finsler-Hadwiger Exercise (VA)
- Finsler-Hadwiger Exercise (VB)
- Triangle Inequality: Discovery Lesson
Triangle Inequality
Dilations: Discovery Activities & Exercises
Similarity!
- Proving Triangles Similar (1)
- Proving Triangles Similar (2)
- Proving Triangles Similar (3)
- Proving Triangles Similar (4)
- Angle -Angle: Triangle Investigation
- AA Similarity Theorem
- SAS ~ Theorem
- SSS ~ Theorem (V1)
- SSSS: Similar Quads?
- AAA: Similar Quads?
- Parallel Lines Proportionality Theorem
- Parallel Lines Proportionality Theorem
- Triangle-Angle Bisector Theorem
- Similar Circles?
Similarity in RIGHT TRIANGLES
- Similar Right Triangles (V1)
- Acute, Right, Obtuse (III)
- Acute, Right, or Obtuse?
- Special Right Triangle (I)
- Another Special Right Triangle (Guided Discovery)
- Special Right Triangle (II)
- Right Triangle Trigonometry: Intro
- Trigonometric Ratios (Right Triangle Context)
- What "CO" in COsine Means
- How Fast are You Spinning?
Circles
- Circle Terminology
- Circle vs. Sphere
- Circle Tangent-Types Illustrator
- Tangents to Circles: Investigation
- Properties of Tangents Drawn to Circles (A)
- Congruent Chords: Quick Investigation
- Congruent Chords (I)
- Diameters & Chords I (VA)
- Diameters & Chords I (VB)
- Congruent Chords Action (A)
- Equidistant Chord Action
- Where to Sit? (I)
- Where to Sit (II)?
- Inscribed Angle Theorem: Take 2!
- Inscribed Angle Theorem (V1)
- Inscribed Angle Theorem: Corollary 1
- Animation 20 (Inscribed Angle Dance!)
- Thales' Theorem (VA)
- Cyclic Quadrilaterals (IAT: Corollary 3)
- Circumcircle: Construction Exercise (VA)
- Where in NYC? (VA)
- Incircle: Construction Exercise (VA)
- Angle Formed by Chord & Tangent (I)
- Angle Formed by Chord & Tangent (II)
- Angle Formed by 2 Chords (I)
- Angle Formed by 2 Chords (II)
- Angles from Secants and Tangents (V1)
- Angle From 2 Secants (V2)
- Crossing Chords: Proof Hint
- Crossing Chords Property & Proof Start (II)
- Crossing Chords Property & Proof Start
- Secants: Proof Hint