Question

11/14 - triangle congruence schoology assignment
would you use sss or sas to prove the triangles congruent? if there is not enough information to prove the triangles congruent by sss or sas, write
ot enough information\ explain your answer.
write a congruence statement and give a reason why the triangles are congruent. choose the correct answer below.
a. \\( \triangle f j g \cong \triangle h i g, s s s \\)
b. \\( \triangle f j g \cong \triangle h i g, s a s \\)
c. the two triangles are not necessarily congruent. there is not enough information.
a.
b.
c.

Explanation:

Step1: Recall SSS and SAS criteria

SSS (Side - Side - Side) congruence: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. SAS (Side - Angle - Side) congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Step2: Analyze the given triangles

In \(\triangle FJG\) and \(\triangle HIG\), we know \(FJ = HI\), \(FG=HG\), \(JG = IG\).

• For SSS: We have three pairs of equal sides (\(FJ = HI\), \(FG = HG\), \(JG=IG\)).

Answer:

A. \(\triangle FJG\cong\triangle HIG\), SSS