830 5.6 Notes.jnt

Name:____________________________ Teacher:___________Period:________ Date:_________
830 5.6 PROVING THAT A QUADRILATERAL IS A PARALLELOGRAM
STUDENT GUIDED NOTES
Methods of proving a Quadrilateral is a Parallelogram
If both pairs of _______________ sides of a quadrilateral
are ____________, then the quadrilateral is a
Both pairs of opp. sides of quad. || 
__________________.
If both pairs of opposite sides of a quadrilateral are
________________, then the quadrilateral is a
Both pairs of opp. sides of quad.  
parallelogram.
If one pair of opposite sides of a quadrilateral are both
_____________ and _______________, then the
One pair of opp. sides of quad. || and  
quadrilateral is a parallelogram.
If the _________________ of a quadrilateral __________
Diag. of quad. bisect each other 
each other, then the quadrilateral is a parallelogram.
If both pairs of opposite ___________ of a quadrilateral
are _______________, then the quadrilateral is a
Both pairs of opp. angles of quad.  
parallelogram.
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P
R
Given: RKMP is a parallelogram
JRK  PMO
O
Prove: RJMO is a parallelogram
J
K
M
1. RKMP is a parallelogram
1. Given
2. RO || JM
2.
3.
3. Opp. sides of a parallelogram are congruent
4. RKM  MPR
4.
5.
5. Definition of supplementary.
6. OPM supp. MPR
6.
7.
7. s supp. to  s are  .
8. JRK  PMO
8.
9.
9. ASA (7, 3, 8)
10. JK  PO
10.
11.
11. Opp. sides of a parallelogram are congruent.
12. RO  JM
12.
13. RJMO is a parallelogram
13.
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