Question

which rule explains why these triangles are congruent? aas asa sas sss these triangles cannot be proven congruent.

Explanation:

Step1: Analyze triangle markings

Triangle \(ABC\) and \(GHF\) have sides with tick marks: \(AB\) (1 tick), \(BC\) (2 ticks), \(AC\) (3 ticks); \(GH\) (2 ticks), \(HF\) (3 ticks), \(GF\) (1 tick). So all three corresponding sides are equal.

Step2: Recall congruence rules

SSS (Side - Side - Side) rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, the triangles are congruent. Here, all three sides match in length (by tick marks), so SSS applies.

Answer:

SSS (The option: SSS)