Subjects geometry

Triangle Congruence B1Fd6E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to complete the congruence statement between triangles \(\triangle GHI\) and \(\triangle MNL\).\n\n2. Given the markings: \n- In \(\triangle GHI\), angle \(G\) has a double-arc, angle \(H\) is a right angle, and angle \(I\) has a single-arc.\n- Side \(GH\) has one tick, side \(HI\) has two ticks, and side \(GI\) has three ticks.\n\n3. In \(\triangle MNL\), angle \(M\) is a right angle, angle \(L\) has a double-arc, and angle \(N\) has a single-arc.\n- Side \(LM\) has one tick, side \(MN\) has two ticks, and side \(LN\) has three ticks.\n\n4. To complete the congruence statement, we match corresponding vertices by their angles and sides:\n- Angle \(G\) (double-arc) corresponds to angle \(L\) (double-arc).\n- Angle \(H\) (right angle) corresponds to angle \(M\) (right angle).\n- Angle \(I\) (single-arc) corresponds to angle \(N\) (single-arc).\n\n5. Therefore, the congruence statement is:\n\n$$\triangle GHI \cong \triangle L M N$$\n\n6. Note that the order of vertices in the congruence statement must preserve the correspondence of angles and sides, so \(G \to L\), \(H \to M\), and \(I \to N\).
G H I L M N