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Q.15. In the figure, ABCD is a square of side 2 cm. Sides AB and BC are produced to E and F respectively, such that BE = CF = 1 cm. AF and DE are joined. Is AF = DE? Give reasons.

Dear student,

We have,AE=AB+BE=2+1=3 cmBF=BC+CF=2+1=3 cmIn ABF and ADE     AB=AD      --(side of square)ABF=DAE --(each 90°)     BF=AE      --( each 3 cm)ABE and ADE   -(SAS) AF=DE  --(CPCT) 


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