Question

Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?

A.It is not possible to determine if the triangles are congruent.

B. ∆ABD ≅ ∆ACD by the SSS Postulate.

C. ∆ABD ≅ ∆ACD by the SAS Postulate.

Answer 1

Options (C)

Explanation:

For the congruence of the triangles ΔADB and ΔADC,

Statements Reasons

1). AB ≅ AC 1). Given

2). AD ≅ AD 2). Reflexive property

3). ∠BAD ≅ ∠CAD 3). Given

4). ΔABD ≅ ΔCAD 4). SAS postulate

Therefore, Options (C) will be the correct option.