Question

(a)\\( \triangle d e g \\) and \\( \triangle h e f \\) have been separated. fill in the missing vertex labels. (b)choose the correct statement below about \\( \triangle d e g \\) and \\( \triangle h e f \\). then fill in the additional information as necessary. the triangles have a common side. common side: the triangles have a common angle. common angle: the triangles have neither a common side nor a common angle.

Explanation:

Step1: Analyze the vertices of the triangles

For \(\triangle DEG\), the vertices are \(D\), \(E\), \(G\). For \(\triangle HEF\), the vertices are \(H\), \(E\), \(F\).

Step2: Check for common elements

Since both triangles have the vertex \(E\), they share the angle at vertex \(E\) (i.e., \(\angle DEG\) and \(\angle HEF\) have the common angle \(\angle E\)).

Answer:

The triangles have a common angle. Common angle: \(\angle E\)