Proof for Theorem
Prove: If a quadrilateral has one pair of opposite sides both parallel and congruent, then it is a parallelogram.
pf10given
pf10pic
 
Statements
 
Reasons
1.
pf101
1.
Given
2.
pf102
2.
Reflexive property
3.
pf103
3.
If 2 || lines are cut by a trans., the alternate interior ∠s are congruent.
4.
pf104
4.
SAS-if 2 sides and the included ∠ of one triangle are congruent to the corres. parts of the other, the triangles are congruent.
5.
pf105
5.
CPCTC-corres. parts of congruenttriangles are congruent.
6.
pf1
6.
If a quad. has its opposite sides congruent, the quad. is a parallelogram.

All Rights Reserved - Copyright MathBitsNotebook.com