Question

ABCD is a quadrilateral such that AB=BD,AC=CD. Show that ∆ABC congruent to ∆DBC

Answer 1

ABCD is given quadrilateral, and ABC & DBC are two triangles (given),

In triangle ABC and triangle DBC :---

1), BC base is common.

2), AB = DB ( given),

3) AC = CD ( given),

there fore :--

Triangle ABC and Triangle DBC both are congruent,

hence proved,