1. Given
2. Alternate Interior Angles Theorem
3. Converse of Alternate Interior Angles Theorem
4. Definition of a Parallelogram
1. Given
2. Reflexive Property of Congruence
3. ASA Postulate
4. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
5. If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.
1. Given
2. Vertical Angles Theorem
3. AAS Postulate
4. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
5. If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.
Parent Tip: Review the logic above to help your child master the concept of quadrilateral proofs worksheet with answers.