Congruence Through Rigid Motions
Go from precise geometric definitions to proving triangles congruent with rigid motions, using only free resources.
Represent transformations in the plane
I can represent transformations in the plane, describe them as functions that take points as inputs and give points as outputs, and compare transformations that preserve distance and angle to those that do not.
- Domain
- Geometry
- Level
- foundation
- Status
- draft · v0.1.0
- License
- CC BY-SA 4.0
Transformations as functions. This is the bridge from vocabulary to the idea of a rigid motion.
Learn first
- Define the basic objects of plane geometry foundation
Learn it
Scope
Transformations described as functions on points, using transparencies, free geometry software, or coordinates. Includes comparing rigid motions (translations, rotations, reflections) with dilations and stretches.
Resources
| Resource | Kind | Cost | Provider |
|---|---|---|---|
| GeoGebra Geometry | tool | free | GeoGebra |
Courses that include it
Prove it
Evidence of mastery
- Given a figure and a rule (for example, a reflection over a line), draws the image and labels corresponding points.
- Sorts a set of transformations into those that preserve distance and angle and those that do not, with a one-sentence justification for each.
Assessments that measure it
No assessment yet.
Credentials that include it
Congruence and Rigid Motions
The holder can define the objects of plane geometry, represent and perform rigid motions, and prove figures congruent using rigid motions.
What comes next
- Describe and draw rotations, reflections, and translations intermediate unlocks 2 more