How to Prove Congruence?

Elena Rostova
Elena Rostova
• • 6 min read

Sss (Side-Side-Side) the Simplest Way to Prove That Triangles Are Congruent Is to Prove That All Three Sides of the Triangle Are Congruent. When All the Sides...

How to Prove Congruence?

SSS (Side-Side-Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

What are the 4 conditions of congruence?

The triangle congruence criteria are:
  • SSS (Side-Side-Side)
  • SAS (Side-Angle-Side)
  • ASA (Angle-Side-Angle)
  • AAS (Angle-Angle-Side)
  • HL (Hypotenuse-Leg, right triangle only)

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What is SSS SAS ASA AAS?

SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)

Elena Rostova

Elena Rostova

Lead Health, Wellness & Medical Journalist
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Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.