To use the SAS (Side-Angle-Side) Congruence Theorem, you need to prove that two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.
Given triangles EFG and HIJ, you need to know:
- Two pairs of corresponding sides are congruent.
- The included angle (the angle formed by the two sides) between those sides is also congruent.
From your options, you should look for a statement that confirms the congruence of an angle that is between the two pairs of sides. Thus, if you know two sides of EFG are congruent to two sides of HIJ, you would need the included angle to be congruent as well.
Assuming you have the information of two sides already, the logical choice for the statement that provides the necessary information for the SAS theorem would be the angle between those two corresponding sides.
However, since the specific pairs of sides are not provided in your options, we can conclude that any of the angle options could potentially fulfill the need for the congruency statement, as long as that specific angle is between the two pairs of sides in question.
So, the best choice from the provided options would be to demonstrate that one included angle between the specified sides is congruent, which would be appropriate to use the SAS theorem effectively.
Best Response: ∠F≅∠H (assuming angle F is between the sides of triangle EFG that are congruent to the sides of triangle HIJ).