Worksheet on proving triangle congruence using parallel lines and given conditions.

A worksheet titled "Parallel Lines and Congruent Triangles" with four problems involving geometric proofs, each with a diagram and a table for statements and reasons.

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1. Given
2. Given
3. ∠AOB ≅ ∠COD; Vertical Angles Theorem
4. ∠ABO ≅ ∠DCO; Alternate Interior Angles Theorem (since AB || CD)
5. ASA Congruence Postulate

1. Given
2. Given
3. Given
4. BD ≅ DB; Reflexive Property of Congruence
5. SAS Congruence Postulate

1. Given
2. Given
3. Given
4. ∠ACB ≅ ∠DFE; Corresponding Angles Theorem (since BC || DF)
5. AAS Congruence Theorem

1. Given
2. Given
3. ∠XYV ≅ ∠ZVY; Alternate Interior Angles Theorem (since XY || ZV)
4. ∠XVY ≅ ∠ZYV; Alternate Interior Angles Theorem (since XV || YZ)
5. ASA Congruence Postulate

Parent Tip: Review the logic above to help your child master the concept of congruent triangles worksheet.

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