Congruence Through Rigid Motions
Go from precise geometric definitions to proving triangles congruent with rigid motions, using only free resources.
Describe and draw rotations, reflections, and translations
I can define rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments, and, given a figure and a rigid motion, draw the transformed figure and specify a sequence of rigid motions that carries one figure onto another.
- Domain
- Geometry
- Level
- intermediate
- Status
- draft · v0.1.0
- Also called
- Rigid transformations
- License
- CC BY-SA 4.0
Learn first
- Represent transformations in the plane foundation
Learn it
Scope
Rotations, reflections, and translations, defined precisely and performed on given figures. Includes specifying a sequence of transformations that carries one figure onto another.
Resources
| Resource | Kind | Cost | Provider |
|---|---|---|---|
| GeoGebra Geometry | tool | free | GeoGebra |
Courses that include it
Prove it
Evidence of mastery
- States a definition of each rigid motion using the terms from the definitions outcome.
- Given a figure and a rigid motion, draws the image accurately by hand or in free geometry software.
- Given two congruent figures, writes a sequence of rigid motions carrying one onto the other.
Assessments that measure it
Rigid Motion Congruence Task
A performance task in which the learner decides whether pairs of figures are congruent and proves it with rigid motions.
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
- Use rigid motions to decide and prove congruence advanced unlocks 1 more
Alignments
- NYS Next Generation Mathematics Learning Standards:
GEO-G.CO.4 - NYS Next Generation Mathematics Learning Standards:
GEO-G.CO.5