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°

Sum of corresponding angles of parallelogram is 180°

DAB+ ABC =180°

DAB+ ABE+ EBC=180°

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

Hence;

By SAS property both triangles are congruent

Conclusion :-

∆AFD BEC

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ABCD is a paralleAP- Mathematics

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