Question

In addition to the facts in the diagram, which other statements are necessary to prove that ∆ABC is congruent to ∆EFG by the ASA criterion?

Answer 1

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)

From the diagram you can see that

1. $AB\cong FE$.

Additionally you need:

2. $\angle BAC\cong \angle GEF.$

3. $\angle ABC\cong \angle GFE.$

Then you can use ASA Postulate to prove that $\triangle ABC\cong \triangle EFG.$

Answer 2

To make them congruent using ASA Congruence then the statement needed is Angle BAC = Angle EFC

What is ASA Congruence ?

According to ASA Congruence when two triangle have the values of two angles and an included side same the the two triangles are congruent by ASA Congruence.

It is given that

In Triangle ABC and EFG

Angle ABC = Angle GEF

AB = EF

To make them congruent using ASA Congruence

then the statement needed is

Angle BAC = Angle EFC

To know more about ASA Congruence

https://brainly.com/question/11804045

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