Outline
Geometry (Congruence) Volume 2
This GeoGebra Book contains lots of discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of geometry concepts both inside and outside of the mathematics classroom.
This GeoGebra Book also contains contributions from the following individuals:
Steve Phelps (https://www.geogebra.org/stevephelps)
Jennifer Silverman (https://www.geogebra.org/jennifer+silverman)
Without their amazing talent and creativity, this resource would not have been possible.
Table of Contents
HSG.CO.C.9
- Proof Prompt (A)
- Animation 128
- Proof Prompt (B)
- Animation 127
- Proof Prompt (C)
- Animation 131
- Proof Prompt (D)
- Animation 130
- Vertical Angles Exploration (1)
- Vertical Angles Exploration (2)
- Vertical Angles Theorem
- Vertical Angles: Quick Discovery
- Vertical Angles Discovery: Ex. 10
- Animation 1
- Transversal Intersects Parallel Lines
- Corresponding Angles: Quick Investigation
- Congruent Corresponding Angles to Start? (Quick Investigation)
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles: Quick Investigation
- Alternate Interior Angles Theorem (V1)
- Exploring Alternate Interior Angles (V2)
- Alternate Interior Angles Theorem (V3)
- Animation 16
- Alternate Exterior Angles: Quick Investigation
- Alternate Exterior Angles Theorem (V1)
- Exploring Alternate Exterior Angles (V2)
- Animation 39
- Animation 60
- Same-Side-Interior Angles: Quick Investigation
- Same Side Interior Angles Theorem
- Animation 29
- Same-Side-Exterior Angles: Quick Investigation
- Exploring Same Side Exterior Angles
- Animation 73
- Solution to Parallel Lines & Angles Problem
- Interesting Coplanar Locations (1)
- A Special Theorem: Part 1 (V1)
- A Special Theorem: Part 2 (V1)
- A Special Theorem: Part 2 (V2)
- A Special Theorem: Part 2 (V3)
- Animation 57
- A Special Theorem: Part 2 (V4)
- PBT (Part 1) - Quick
- PBT (Part 2) - Quick
- Where in This City? (1)
- CT Home Depots
- Where in NYC? (VA)
- Where in NYC? (VB)
- Where in NYC? (VC)
- Angle Bisector Theorem (Part 1)
- Another Special Theorem: Part 1 (V1)
- Another Special Theorem: Part 2 (V1)
- Another Special Theorem: Part 1 (V2)
- Animation 58
- Another Special Theorem: Part 1 (V3)
- Effortless Trisections
- Animation 134
- Parallel Lines Congruent Segments Theorem
- Parallel Lines Proportionality Theorem
- Animation 135
HSG.CO.C.10
- Triangle Area Action! (V1)
- Triangle Area Action!!! (V2)
- Animation 175
- Area of a Triangle (Discovery)
- 4 Triangles Action!!!
- Animation 179
- Triangle Angle Theorems
- Animation 171
- Triangle Angle Theorems (V2)
- Animation 2
- Triangle Angle Theorems (V3)
- Transformation Proof 3
- Triangle Angle Sum Theorem
- Obvious Corollary
- Animation 140
- Triangle Exterior Angle
- Animation 102
- Triangle: Exterior Angles
- Quadrilateral: Exterior Angles
- Pentagon: Exterior Angles
- Polygons: Exterior Angles
- Polygons: Exterior Angles - REVAMPED
- Exterior Angles (Revisited)
- Exterior Angles (Revisited) V2
- Exploring Polygon Angles: Triangle through Octagon
- Angles of a Right Triangle
- Animation 104
- Acute Angles of a Right Triangle
- Animation 129
- Animation 22
- Isosceles Triangle: Quick Discovery
- A Special Triangle & Its Properties (I)
- Isosceles Triangle Theorem: Discovery Lab
- Isosceles Triangle Investigation
- Animation 8
- Isosceles Triangle Exp: Ex. 5A
- Isosceles Triangle Exp: Ex. 5B
- Converse of IST: Template
- Converse of IST (V1)
- Animation 82
- Controlling Angles with Sliders: Ex. 14
- Animation 23
- Another Special Triangle and its Properties (II)
- Animation 27
- Converse of IST (II)
- Animation 84
- Isosceles Right Triangle: Quick Investigation
- Special Right Triangle (I)
- Animation 59
- Special Right Triangle (II)
- Another Special Right Triangle (Guided Discovery)
- Animation 42
- Special Line through Triangle V1 (Theorem Discovery)
- Special Line through Triangle V2 (Theorem Discovery)
- Triangle Midsegment Action!
- Animation 141
- Working With Midpoints: Ex. 8
- Midsegment of a Triangle
- Triangle Inequality: Discovery Lesson
- Triangle Side Possibilities? (V2)
- Triangle Inequality
- Triangle Inequality (II)
- Sliders & Circles Discovery: Ex. 13
- Inequalities in 1 Triangle
- Points of Concurrency: Investigation
- Lines Containing Altitudes of a Triangle (V1)
- Orthocenter Exploration
- Circumcenter (& Questions)
- Circumcenter & Circumcircle Action!
- Making Perpendicular Bisectors: Ex. 9
- Animation 28
- Midpoint of HYP
- Animation 46
- Incenter Exploration (A)
- Incenter Exploration (B)
- Incenter + Incircle Action (V2)!
- Incenter & Incircle Action!
- Constructing Angle Bisectors: Ex. 11
- Animation 17
- Triangle Medians: Quick Investigation
- Medians Centroid Theorem (Proof without Words)
- Medians and Centroid Dance
- Animation 25
HSG.CO.C.11
- Parallelogram: Area
- Animation 202
- Parallelogram Construction Template & Discovery Lab
- Parallelogram Template (Scaffolded Discovery)
- Parallelogram Template
- Parallelogram: Theorem 1
- Animation 123
- Parallelogram: Theorem 2
- Animation 124
- Parallelogram: Theorem (3)
- Animation 125
- Parallelograms (I)
- Animation 75
- Animation 80
- Animation 6
- 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
- Animation 184
- Special Quadrilateral: Theorem 2
- Animation 185
- Special Quadrilateral: Theorem 3
- Animation 186
- Special Quadrilateral: Theorem 4
- Animation 187
- Congruent Opposite Sides of a Quadrilateral
- Quadrilateral With Opposite Angles Congruent
- What Kind of Quad?
- Quadrilateral Investigation (I)
- Rhombus Action!
- Animation 11
- Rhombus Template (Scaffolded Discovery)
- Rhombus Template with Investigation Questions
- Rectangle Action!
- Animation 31
- Rectangle Template (Scaffolded Investigation)
- Rectangle Template with Investigation Questions
- Square Action!
- Animation 41
- Square Template (Scaffolded Investigation)
- Square Template with Investigation Questions
- Trapezoids: Median Investiagtion
- Trapezoid Median (Midsegment) Action!
- Animation 67
- Trapezoid Median: 2 Discoveries
- Isosceles Trapezoid Action!
- Animation 64
- Animation 35
- Isosceles Trapezoid Template (Scaffolded Discovery)
- Isosceles Trapezoid Template
- Animation 49
- Kite Action!
- Animation 26
- Kite Template: Scaffolded Investigation
- Kite Template with Investigation Questions
- Quad Midpoints Action!
- Animation 52
- Quadrilateral Creation Templates
- Quadrilateral Creations from 2 Isosceles Triangles
HSG.CO.D.12
- Congruent Segments Construction (I)
- Isosceles Triangle (Quick Construction Technique) V1
- Animation 199
- Equilateral Triangle Construction (Dynamic Illustration)
- Animation 201
- Congruent Angle: Construction
- Congruent Angle Construction Action!
- Animation 196
- Angle Bisector Construction Action!
- Animation 197
- Alternate Angle Bisector Construction
- Animation 117
- Angle Bisector: Construction
- Angle Bisector (Basic Exercise)
- Perpendicular Line: Construction 1
- Perpendicular Line: Construction 2
- Perpendicular Bisector: Construction
- Parallel Line: Constructions
- Congruent Triangle: Construction
- Rectangle Construction Exercise
- Rectangle Construction Exercise: Revamped (V1)
- Rectangle Construction Exercise: Revamped (V2)
- Rhombus Construction Exercise: V1
- Rhombus Construction Exercise: V2
- Other Constructions: 1
- Other Constructions: 2
- Centroid Construction Challenge #1
- Possible Solution for Centroid Challenge #1
- Centroid Construction Challenge #2
- Possible Solution for Centroid Construction Challenge #2
- Centroid Construction Challenge #3
- Possible solution to Centroid Construction Challenge #3
- Triangle Construction Challenge #1
- Possible solution to Triangle Construction Challenge #1
- Triangle Consruction Challenge #2
- Possible solution to Triangle Construction Challenge #2
- Triangle Construction Challenge #3
- Potential solution for Triangle Construction Challenge #3
- Geometric Mean Illustration
- Animation 211
- Geometric Mean: Construction (VA)
- Geometric Mean: Construction (VB)
HSG.CO.D.13
Links to Other CCSS High School: Geometry Standards
Additional - Links to CCSS High School: Functions Resources