Q. 14.3( 36 Votes )

In the adjacent f

Answer :

Given :- ABCD is a parallelogram and ABEF is a rectangle


Formula used :-


SAS congruency rule


If two sides of triangle and angle made by the 2 sides are equal then both the triangles are congruent


Solution :-


In ∆AFD and BEC


*AF=BE [opposite sides of rectangle are equal]


*AD=BC [opposite sides of parallelogram are equal]


As angle of rectangle is 90°


DAB + FAD=90°


DAB=90° - FAD -----1


Sum of corresponding angles of parallelogram is 180°


DAB+ ABC =180°


DAB+ ABE+ EBC=180°


90° - FAD + 90° + EBC=180° putting value from 1


180° + EBC- FAD=180°


EBC - FAD=0


EBC = FAD


Hence;


By SAS property both triangles are congruent


Conclusion :-


∆AFD BEC


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