Question

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

Answer 1

Answer: A. SAS

Step-by-step 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.

Answer 2

Answer:

A

Step-by-step explanation: