Question

in the adjoining figure, DC || AB , AD = BC. Prove using the concepts of congruent triangle that AE = BF​

Answer 1

Answer:

Answer below, hope it helps.

Step-by-step explanation:

Angle ADE, Angle BCF = 90 degrees (DE and CF perpendicular to AB)

DE = CF (Height of the same trapezium ABCD)

In triangles ADE and BCF

AD = BC (given)

Angle ADE = Angle BCF (DE and CF perpendicular to AB)

DE = CF (Height of the same trapezium ABCD)

Triangle ADE ≅ Triangle BCF (SAS congruence)

AE = BF (CPCT)or(Corresponding parts of congruent triangle)