Triangles

Triangles

1. Congruency Criterian

   • Two triangles ABC and PQR are congruent under the correspondence if A, B and C are corresponding to P,Q and R respectively.
   • SAS - If two sides and included angle are equal to two sides and included angle of another triangle.
   • ASA - If two angles and the included side are equal to two angles and the included side of another triangle.
   • AAS - If two angles and one side are equal to two angles and one corresponding to another triangle.
   • SSS - If three sides of a triangle are equal to the corresponding three equal sides.
   • RHS - If two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuseand one side of other triangle.

2. Equality Laws

   • Angles opposite to equal sides are equal
   • Sides opposite to angles are equal
   • Each angle of a equilateral triangle is equal to 60 degress.

3. Inequality Laws

   • Angle opposite to the longer side is larger.
   • Side opposite to larger angle is longer.
   • Sum of any two sides of a triangle is greater than the third side.