Question

Answer for (b) and (c)


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Answer 1

given

AC=DF (S)

BC=EF (S)

ANGLE C=ANGLE F (A)

BY SAS CONGRUENCY TRIANGLE ABC  IS CONGRUENT TO TRIANGLE DEF. AS 2 SIDES WITH AN INCLUDED ANGLE

Answer 2

Hii !

( b ) AC and BC is the side of ∆ ABC , DF and EF is the sides of ∆ DEF and /_ C = /_ F

Given :- AC = DF , BC = EF and /_ C = /_ F

So,

By SAS [ Side angle side ] congruency ∆ABC is congruent to ∆DEF.

( c) /_ A , /_ B and /_ C are the angles of ∆ABC .

And,

/_ D , /_ E and /_ F are the angles of ∆DEF.

Given /_ A = 45° , /_ B = 65° , /_ C = 70°

And,

/_ D = 65° , /_ E = 70° and /_ F = 45°

As we can see that , /_ B = /_ D = 65° , /_C = /_ E = 70° and /_ A = /_F = 45° .

So,

By AAA [ angle angle angle ] ∆ABC similar to ∆DEF , not congruent.



Hope it will help you !!