ReViSense.AI
Chapter 99 · Part 1

CONGRUENCE OF TRIANGLES - IDENTICAL SHAPES AND PROVING EQUALITY

13
Concepts
0
Formulae
13 min
Read time
Intermediate

Learning objectives

  • 1Explain congruence: What Makes Figures Identical
  • 2Explain congruent Shapes: Recognizing Identical Figures
  • 3Explain congruent Triangles: The Foundation of Triangle Geometry
  • 4Explain sSS Criterion: Side-Side-Side Congruence
  • 5Explain sAS Criterion: Side-Angle-Side Congruence
  • 6Explain aSA Criterion: Angle-Side-Angle Congruence

Your learning path

Introduction
Understanding Congruence: What Makes Figures Identical?
Congruent Shapes: Recognizing Identical Figures
Congruent Triangles: The Foundation of Triangle Geometry
SSS Criterion: Side-Side-Side Congruence
SAS Criterion: Side-Angle-Side Congruence
ASA Criterion: Angle-Side-Angle Congruence
AAS Criterion: Angle-Angle-Side Congruence
RHS Criterion: Right Angle-Hypotenuse-Side Congruence
Worked Example
Summary
Quiz
Revision
Follow the full path

Key terms

SSSSASASAAASRHSApply CPCTCManufacturingLand SurveyingState the congruenceIdentify the trianglesStructural EngineeringNavigation and MappingArchitecture and ConstructionChoose the appropriate criterionVerify the criterion's conditions

Connected chapters

PERIMETER AND AREA - MEASURING BOUNDARIES AND SURFACESshares: Land Surveying
13Concepts
0Formulae
13Minutes
PreviousSYMMETRY - BALANCE AND MIRROR IMAGES IN GEOMETRYNextSECTION 3.2: THE LEAST OF ALL—LEAST COMMON MULTIPLE (LCM)