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Geometry worksheet with three triangle congruence proof problems, each with a diagram and a table to fill in statements and reasons.

Geometry worksheet titled "Geometry, Unit 5 - Congruent Triangles Proof Activity - Part I" featuring three problems with diagrams of triangles, showing congruent sides and angles, and a table for proving triangle congruence using SSS, SAS, ASA, AAS, or HL postulates.

Geometry worksheet titled "Geometry, Unit 5 - Congruent Triangles Proof Activity - Part I" featuring three problems with diagrams of triangles, showing congruent sides and angles, and a table for proving triangle congruence using SSS, SAS, ASA, AAS, or HL postulates.

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Show Answer Key & Explanations Step-by-step solution for: Congruent Triangles Proof Worksheet | PDF | Triangle Geometry ...
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. $\triangle KJM \cong \triangle KLM$
- 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
Parent Tip: Review the logic above to help your child master the concept of proving triangles similar worksheet.
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