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• Two objects having same shape are known as similar objects. • Following pictures show objects having same shape but not having same size. They are similar objects Two objects having same shape and size are called CONGRUENT OBJECTS. Two line segments are congruent if they have same length Two angles are congruent if they have same measure. A C The symbol of congruency is 4cm 4c B D Two squares are congruent if they have same side length. Two rectangles are congruent if they have same length and breadth Congruence of Triangles-Two triangles are said to be congruent if pairs of corresponding sides and angles are equal A D B C E F ABC DEF as AB = DE, BC= EF, CA= FD and ∟A= ∟D.∟B = ∟E, ∟C = ∟F A↔ D, B↔E, C ↔F and therefore ABC ↔ DEF The symbol ↔ stands for matching There are four congruency conditions to prove congruence of triangles •SAS congruency condition(side, congruence condition) •SSS congruence condition congruence condition) (side, angle, side side, side •ASA congruency condition(angle, side, angle congruence condition) •RHS congruency condition (Right Hypotenuse, side congruence condition) angle, We see congruent objects and similar objects everywhere