Question

What theorem or postulate can be used to justify that HIG=FIE

Answer 1

A

Explanation:

Answer 2

Answer: A. SAS

Explanation:

In the given picture , we have two triangles ΔHIG and Δ FIE , in which

`\overline{HI}\cong\overlien{FI}` [given]

`\angle{HGI}\cong\angle{FEI}` [given]

Also,
`\angle{HIG}\cong\angle{FIE}` [Vertically opposite angles]

Therefore by SAS congruence postulate we have

`\triangle{HIG}\cong\triangle{FIE}`

• SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then we say that the two triangles are congruent.