Question

in triangle abc and angle def ab = DE and BC is equals to EF and Angle B = ANGLE E
and the state the condition of congruency and find the following pairs of triangles are in congruent

Answer 1

Hi friend,

In quadrilateral ABED

AB = DE ( given)

AB II ED ( given )

So, ABED is a parallelogram [ since, a pair of opposite sides are equal and parallel ]

So, BE II AD.....(1)

Similarly quadilateral BEFC is also parallelogram

Hence , BE II CF....(2)

And AC = DF


From the quations (1) and (2) we get

AD II CF

Hence AD = CF ( proved )