NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Multiple Choice Questions
Question 49

Question.  49

If ΔABC and ΔDBC are on the same base BC, AB = DC and AC = DB (Fig. 6.21), then which of the following gives a congruence relationship?

(a)

(a) ΔABC ≅ ΔDBC

(b)

(b) ΔABC ≅ ΔCBD

(c)

(c) ΔABC ≅ ΔDCB

(d)

(d) ΔABC ≅ ΔABCD

Detailed Answer with Explanation:

By given conditions AB = DC, AC = DB and common side BC, so ΔABC ≅ ΔDCB.