Question

Given:

Answer 1

Answer:

We used SSS rule of congruence to prove that the triangles are congruent.      

Step-by-step explanation:

We are given the following information in the question:

AB = CD

BC = DA

We have to prove that

$\angle B = \angle D$

We will first prove the congruency of triangle.

$\text{In }\triangle ABC \text{ and } \triangle CDA$

AB = CD  ( Given )

BC = DA ( Given )

AC = CA (Common )

Hence, $}\triangle ABC \cong \triangle CDA$ by SSS rule of congruence( Side Side Side).

Since the triangles are congruent, $\angle ABC = \angle CDA$

Answer 2

Answer:

SSS

Step-by-step explanation:

the triangles would be proven congruent by SSS

AC is equal AC because of the reflexive property (it is equal to itself).