This worksheet helps students practice geometric proofs involving parallel lines and congruent triangles by filling in missing statements and reasons.

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 ≅ ∠FED; 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