Question

In the adjoining figure,DC|| Ab ,ad=BC.prove using the concept of congruent triangle that ae =bf

Answer 1

IN THE ADJACENT FIGURE
DECF IS ARECTANGLE SO DE=CF⇒1
AS,DC||Ab,AB IS A TRANSVERSALSO ANGLE AED=ANGLEBFC⇒2GIVEN AD=BC⇒3
FROM1,2,3
BY RHS congruency
triangleAED=TRIangleDFC
BY CPCT
ae =bf

Answer 2

In the given figure,

CDEF is a rectangle

so, DE=CF

and is given that AD=BC

and angle DEA= angle CFB

so, AE=FB