Question

plz solve this question ​

Answer 1

Step-by-step explanation:

Given, AC || DF and AC = DF.

∴ In a quadrilateral if one pair is parallel and equal, then it becomes parallelogram.

Thus, AFCD is a parallelogram.

AD ║ CF {Opposite sides of parallelogram are parallel}   ---- (1)

AD = CF {Opposite sides of parallelogram are equal}   ---- (2)

Now,

Given that,

AB ║ DE and AB = DE.

ABED is a parallelogram.

AD ║ BE {Opposite sides of parallelogram are parallel}  ---- (3)

AD = BE {Opposite sides of parallelogram are equal}  ---- (4)

From (1) & (3), we get

CF ║ BE

From (2) & (4), we get

CF = BE

BCFE is a parallelogram.

∴ BC ║ EF {Opposite sides of a parallelogram are parallel}.

∴ BC = EF {Opposite sides of a parallelogram equal}.

Hope it helps!

Answer 2

AB=DE......GIVEN

ANGLE BAC= ANGLE EDF(ANGLES BETWEEN THE EQUAL SIDES OF TWO TRIANGLES ARE EQUAL)

AC=DF........GIVEN

BY SAS RULE TRIANGLE ABC & TRIANGLE DEF ARE CONGURENT

BY C.P.C.T

BC=EF

AB||DE &AC||DF

THEREFORE BC||EF AS THEY ARE EQUAL LIKE SIDES AB & DE;AND AC&DF