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Congruence V1C1 Check
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1. HSG.CO.A.1
- Animation 18
- Proving Segments Congruent (Exercise)
- Animation 36
- Proving Angles Congruent
- Animation 56
- Animation 160
- Perpendicular Lines: Quick Intro
- Perpendicular Bisector Definition
- Animation 15
- Animation 48
- Animation 19
- Animation 162
- Animation 161
- Animation 165
- Animation 166
- Animation 193
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Congruence V1C1 Check
Tim Brzezinski, Aaron Dankman, Nov 7, 2017
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: Jennifer Silverman (https://www.geogebra.org/jennifer+silverman) Steve Phelps (https://www.geogebra.org/stevephelps) Dr. Ted Coe (https://www.geogebra.org/tedcoe) Without their amazing talent and creativity, this resource would not have been possible.
Table of Contents
- HSG.CO.A.1
- Animation 18
- Proving Segments Congruent (Exercise)
- Animation 36
- Proving Angles Congruent
- Animation 56
- Animation 160
- Perpendicular Lines: Quick Intro
- Perpendicular Bisector Definition
- Animation 15
- Animation 48
- Animation 19
- Animation 162
- Animation 161
- Animation 165
- Animation 166
- Animation 193
HSG.CO.A.1
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1. Animation 18
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2. Proving Segments Congruent (Exercise)
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3. Animation 36
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4. Proving Angles Congruent
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5. Animation 56
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6. Animation 160
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7. Perpendicular Lines: Quick Intro
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8. Perpendicular Bisector Definition
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9. Animation 15
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10. Animation 48
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11. Animation 19
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12. Animation 162
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13. Animation 161
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14. Animation 165
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15. Animation 166
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16. Animation 193
Animation 18
What geometry definition (vocabulary term) is dynamically illustrated below?
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Definition of Congruent Segments:
Two segments are congruent if and only if one segment can be mapped onto another using any composition of one or more isometries (translation, rotation, reflection, glide reflection).
Recall an isometry is a transformation that preserves distance!
This description (definition) above is what causes two segments to be congruent.
The effect? If segments are congruent, then they consequently have equal lengths (since an isometry always preserves distance.)
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