Question

In the given figure, AB = DC and angle ABC = angle DCB
State 3 pairs of equal parts in triangle ABC and Triangle DCB

Answer 1

Answer:

I AB = DC and angle ABC=DCB and BC is the common side

2 In ∆ABC and ∆DBC

AB = DC ( side )

Angle ABC= Angle DCB ( Angle )

BC = BC ( common side )

So by the property of ASA congruence ∆ ABC≈ ∆ DCB

3 By CPCT AC = DB

Answer 2

Answer

(i) AB = DC

BC = CB

DB = AC

(ii) Yes by SSS congruence rule.

(iii) Yes ( by CPCT = congruent parts of congruent triangles)