Question: Which two triangles are congruent? Complete the congruence statement. \[ \triangle \text{ }…

Which two triangles are congruent? Complete the congruence statement.

\[ \triangle \text{ } \cong \triangle \text{ } \]

[Diagram of three triangles with labeled vertices and marked congruent sides and angles]

• Triangle with vertices \( G \), \( H \), and \( F \)
• Triangle with vertices \( U \), \( T \), and \( X \)
• Triangle with vertices \( Z \), \( Y \), and \( X \)

Solution

To determine which two triangles are congruent and complete the congruence statement, follow these steps: Identify the triangles with corresponding congruent sides and angles. \[ \text{Triangles GHF and XZY have two sets of congruent sides and congruent angles.} & \] Therefore, the congruent triangles are GHF and XZY. Complete the congruence statement: \[ \Delta \text{GHF} \cong \Delta \text{XZY} & \]