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Mathematics / Congruence of triangles

Mathematics / Congruence of triangles

A triangle is one of the basic shapes of geometry. It is a polygon with 3 sides and 3 vertices/corners.

Two triangles are said to be congruent if their respective sides and angles are equal.

In order to prove that two triangles are congruent, it is sufficient to prove either of the following conditions:

  • SSS(Side-Side-Side) - 3 sides are respectively equal
  • SAS(Side-Angle-Side) - 2 sides and the included angle are respectively equal
  • ASA(Angle-Side-Angle) - 2 angles and the included side are respectively equal
  • RHS(Right angle-Hypotenuse-Side) - For right angled triangles, Hypotenuse and one side are respectively equal

Exercises
Lessons
Topics
Exercises
Lessons
Topics
  • Congruence of Triangles

    • Questions: 246
    • Criteria of congruent triangles
    • Theorem of an isosceles triangle and its converse
    • Perpendicular bisector theorem
    • Angle bisector theorem
    • Properties of triangles based on inequalities
    • Property of perpendicular drawn from a point outside the line.
  • Congruence of Triangles -- Summary

    Learnhive Lesson on Pythagoras Theorem

    Pythagoras Theorem -- Summary

    Learnhive Lesson on Congruence of Triangles

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