Question

for #1 - 4, name the congruent triangles by completing the congruence statement. 1.△ogd≅△pcr 2.△rac≅△eog 3.△lin≅△__ 4.△fox≅△ for #5, name the congruent triangle and the congruent parts. 5. △fgh≅△ ∠efi≅∠ fg≅ ∠g≅∠ gh≅ ∠h≅∠ fh≅__

Explanation:

Step1: Identify congruent - marking

Match the side - length markings (single, double, triple lines) and angle - marking (arcs) on the triangles.

Step2: Name corresponding vertices

For congruent triangles, the order of vertices must match the correspondence of congruent sides and angles.

Step3: Determine congruent parts

For the fifth problem, use the congruence of the whole triangles to find the congruent angles and sides. The shared side $\overline{FH}$ is congruent to itself by the reflexive property.

Answer:

1. $\triangle OGD\cong\triangle PCR$
2. $\triangle RAC\cong\triangle EOG$
3. $\triangle LIN\cong\triangle AET$ (the congruent triangle is assumed based on the congruence - marking pattern, if the other triangle is named as $\triangle AET$ with appropriate markings)
4. $\triangle FOX\cong\triangle BOX$
5. $\triangle FGH\cong\triangle EIF$; $\angle EFI\cong\angle GFH$; $\overline{FG}\cong\overline{EF}$; $\angle G\cong\angle E$; $\overline{GH}\cong\overline{FI}$; $\angle H\cong\angle I$; $\overline{FH}\cong\overline{FH}$