Question

Which postulate or theorem proves that △ABC and △CDA are congruent?

HL Congruence Theorem ​

​ ASA Congruence Postulate ​

​ AAS Congruence Theorem ​

​ SAS Congruence Postulate ​

Answer 1

ASA Congruence Postulate or theorem proves that △ABC and △CDA are congruent.

Angle Side Angle states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Answer 2

Option B is correct.

The ASA congruence postulates or theorem proves that △ABC and △CDA are congruent.

Step-by-step explanation:

Angle Side Angle (ASA) theorems states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

In △ABC and △CDA

`\angle ACB = \angle CAD` [Angle] [Given]

`AC=AC` [Side] [Reflexive property]

`\angle BAC =\angle DCA` [Angle] [Given]

Then, by the ASA theorem;

`\triangle ABC \cong  \triangle CDA`