Question

△efg and △ghi are shown below.which statement is true?△efg is similar to △ghi.△efg is not similar to △ghi.there is not enough information to determine whether the

Explanation:

Step1: Check for parallel sides

Since \(EF\parallel GH\) (marked with the same arrow), we can use the properties of parallel lines and triangles.

Step2: Use the AA (Angle - Angle) similarity criterion

When \(EF\parallel GH\), \(\angle EFG=\angle HGI\) (alternate interior angles) and \(\angle FEG=\angle HIG\) (alternate interior angles).
By the AA similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Answer:

\(\triangle EFG\) is similar to \(\triangle GHI\)