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SSS Congruence Visualization

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About This Diagram

This three-panel visualization demonstrates the SSS (Side-Side-Side) Congruence Postulate, showing how three pairs of congruent sides uniquely determine a triangle and guarantee congruence.

Panel Descriptions

Panel 1: Given Information

Shows two triangles with three pairs of marked congruent sides: - AB ≅ DE = 5 cm (one tick mark) - BC ≅ EF = 7 cm (two tick marks) - AC ≅ DF = 6 cm (three tick marks)

Panel 2: Construction Process

Demonstrates why three sides uniquely determine a triangle: - Start with base segment DE (5 cm) - Draw arc from D with radius 6 cm - Draw arc from E with radius 7 cm - The arcs intersect at exactly ONE point (F)

Panel 3: Result

Shows the triangles overlapping perfectly, proving congruence through rigid motion.

SSS Congruence Postulate

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

In symbols: If AB ≅ DE, BC ≅ EF, and AC ≅ DF, then △ABC ≅ △DEF

Interaction

Click on any panel to focus on it and dim the others. Click again to show all panels.

Learning Objectives

  • Understand why three sides uniquely determine a triangle
  • Apply SSS congruence to prove triangles congruent

Bloom's Taxonomy Level

Understanding and Applying

Iframe Embed Code

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        height="402px"
        width="100%"
        scrolling="no"></iframe>