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. Alternate Interior Angles Theorem (since AD || CB)
4. BD ≅ DB; Reflexive Property of Congruence
5. SAS Congruence Postulate
1. Given
2. Given
3. Given
4. AC ≅ DF; Segment Addition Postulate (AE + EC = CF + FD, and since AE = CF, then EC = FD, so AC = DF)
5. SAS Congruence Postulate
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 geometry worksheet congruent triangles answer.
