In figure,BA perpendicular AC, DE perpendicular DF such that BA =DE an

1.	In figure,BA perpendicular AC, DE perpendicular DF such that BA =DE and BF=EC. Show that triangle WBC congurence to triangle DEF.
Answer» ong>Answer: Given : BA=DE BF=EC to prove: TRIANGLE ABC congruent to triangle DEF Proof: BF=EC(given) adding FC to both sides we get BF+FC=EC+FC BC=EF-------(i) so in triangles ABC & DEF AB= DE(given) BC=EF(from (i) angle BAC= Angle FDE(both 90⁰) so triangle ABC Is congruent to triangle DEF (RHS congruncy)

In figure,BA perpendicular AC, DE perpendicular DF such that BA =DE and BF=EC. Show that triangle WBC congurence to triangle DEF.

Answer»

ong>Answer:

Given : BA=DE

BF=EC

to prove: TRIANGLE ABC congruent to triangle DEF

Proof: BF=EC(given)

adding FC to both sides we get

BF+FC=EC+FC

BC=EF-------(i)

so in triangles ABC & DEF

AB= DE(given)

BC=EF(from (i)

angle BAC= Angle FDE(both 90⁰)

so triangle ABC Is congruent to triangle DEF (RHS congruncy)