Question

cw: triangle congruence theorems
if not congruent, write none in both slots.
these triangles can be proven congruent by (\triangle higcong\triangle)

Explanation:

Step1: Identify the congruent sides

In \(\triangle FIG\) and \(\triangle HIG\), \(FG = HG\) (marked with one cross), \(FI=HI\) (marked with two crosses), and \(GI = GI\) (common side).

Step2: Apply the SSS (Side - Side - Side) congruence theorem

Since all three pairs of corresponding sides are equal (\(FG = HG\), \(FI = HI\), \(GI=GI\)), by the SSS (Side - Side - Side) congruence theorem, the two triangles are congruent.

Step3: Determine the congruent triangle

The vertices of \(\triangle HIG\) correspond to the vertices of \(\triangle FIG\).

Answer:

These triangles can be proven congruent by \(SSS\), \(\triangle HIG\cong\triangle FIG\)