Worksheet for proving triangle congruence using SSS, SAS, ASA, AAS, and HL theorems.

Final Answer:
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 ∠s Theorem
3. SAS

2. Statements:
1. $\overline{JK} \cong \overline{LK}$, $\overline{JM} \cong \overline{LM}$
2. $\overline{KM} \cong \overline{KM}$
3. $\triangle JKM \cong \triangle LKM$
Reasons:
1. Given
2. Reflexive Prop.
3. SSS

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. Def. of angle bisector
3. Reflexive Prop.
4. AAS