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Practice identifying common sides and angles in overlapping triangles for congruence proofs.

Triangle congruence worksheet with diagrams and exercises for identifying common sides and angles in overlapping triangles.

Triangle congruence worksheet with diagrams and exercises for identifying common sides and angles in overlapping triangles.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet: Proving Triangles Congruent - Triangle Congruence ...
1. Triangles ABD and CBD share angle B.
2. Triangles ABD and CBD share angle D.
3. Given: ∠BAC ≅ ∠DEC, ∠ACB ≅ ∠DCE
Prove: BE ∥ AD

Proof:
1. ∠BAC ≅ ∠DEC (Given)
2. ∠ACB ≅ ∠DCE (Given)
3. ∠ABC ≅ ∠EDC (Third angles of congruent triangles are congruent)
4. BE ∥ AD (If alternate interior angles are congruent, then lines are parallel)
Parent Tip: Review the logic above to help your child master the concept of proofs involving congruent triangles worksheet.
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