1.  ABC is an isosceles triangle with AB=AC (Fig 7.17). Take a trace-copy of \Delta ABC and also name it as \Delta ABC
            (i) State the three pairs of equal parts in \Delta ABC \; and \: \Delta ACB.
            (ii) Is \Delta ABC \cong \Delta ACB? Why or why not?
            (iii) Is \angle B = \angle C ? Why or why not?

            

Answers (1)

Here, in \Delta ABC \; and \: \Delta ACB.

  

i)the three pairs of equal parts in \Delta ABC \; and \: \Delta ACB are

AB = AC 

BC = CB 

AC = AB 

ii)

Hence By SSS Congruency rule, they both are congruent.

\Delta ABC \cong \Delta ACB

iii) Yes, \angle B = \angle C because \Delta ABC \; and \: \Delta ACB are congruent and by equating the corresponding parts of the triangles we get,

\angle B = \angle C.

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