MathIsimple
Unit 3: Geometry Foundations & Congruent Triangles

Transform, Prove, and Apply Geometry

Master rigid motions, prove triangle congruence, and apply geometric reasoning to real measurement and construction problems.

Unit Overview

Core Concepts

  • Translations, rotations, reflections
  • Congruence criteria: SAS, ASA, SSS, AAS, HL
  • Proof strategies and auxiliary constructions
  • Real-world geometric modeling

Learning Outcomes

  • Describe rigid motions algebraically and graphically
  • Prove triangles congruent with formal reasoning
  • Use proofs to derive perpendicular/parallel results
  • Solve measurement tasks using congruence

Real-World Applications

Surveying

Measure inaccessible distances with congruent triangles

Construction

Ensure structural alignment using rigid motions

Design

Create symmetric patterns with reflections and rotations