Question

How to prove these are congruent

Answer 1

Answer:

Yes, they are congruent by SAS postulate.

Step-by-step explanation:

Let us first name the vertices of both the triangles.

The labelled diagram is shown below.

Consider the triangles ABC and ACD

Statements                                                               Reasons

1. BC ≅ AC                                                               Given

2. ∠ ACB ≅ ∠ CAD                                                 Given

3. AC ≅ AC                                        Common sides are congruent due to Reflexive property

As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.

So, we can conclude that the given triangles are congruent.