Geometry worksheet for proving triangle congruence using SSS, SAS, ASA, AAS, and HL postulates, featuring three problems with diagrams and proof tables.

1.
- Statements:
1. $\overline{BC} \cong \overline{DC}$; $\overline{AC} \cong \overline{EC}$
2. $\angle BCA \cong \angle DCE$
3. $\triangle BCA \cong \triangle DCE$
- Reasons:
1. Given
2. Vertical Angles Theorem
3. SAS Postulate

2.
- Statements:
1. $\overline{JK} \cong \overline{LK}$; $\overline{JM} \cong \overline{LM}$
2. $\overline{KM} \cong \overline{KM}$
3. $\triangle KJM \cong \triangle KLM$
- Reasons:
1. Given
2. Reflexive Property
3. SSS Postulate

3.
- Statements:
1. $\angle G \cong \angle I$; $\overline{FH}$ bisects $\angle GFI$
2. $\angle GFH \cong \angle IFH$
3. $\overline{FH} \cong \overline{FH}$
4. $\triangle GFH \cong \triangle IFH$
- Reasons:
1. Given
2. Definition of Angle Bisector
3. Reflexive Property
4. AAS Theorem