Congruence of Triangles
EXPLANATION ; Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. Symbol - (≡) Note the difference of the symbol of equality (=) and the congruency ( ≡ ). Explanation; Sides : AC=ED CB=DE AB=AF Angles : BA^C = DE^F EF^D= AB^C BC^A= ED^F 1.) First case The case in which two sides and the included angle of one Triangle are equal to two sides and the included angle of another triangle . Example ; • Showing that two triangles are congruent in the above manner is mentioned in short as being congruent under the case SAS - (SIDE ANGLE SIDE ) > In the triangles of ABC ∆ and PQR ∆, The angle AB^C which 30° in called the included angle of the sides AB and CB , Similarly PQ^R is th...