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6.3Proving a Quadrilateral is a Parallelogram
1Thursday, January 31, 13
Define converse• What is the converse of this conditional?
• An angle is obtuse if its measure is between 90 and 180 degrees.
2Thursday, January 31, 13
Converse of Thm 6.3• If a quadrilateral is a parallelogram, then both
pairs of opposite sides are congruent.
3Thursday, January 31, 13
• If a quadrilateral is a parallelogram, then consecutive angles are supplementary.
Converse of Thm 6.4
4Thursday, January 31, 13
• If a quadrilateral is a parallelogram, then both pairs of opposite angles are congruent.
Converse of Thm 6.5
5Thursday, January 31, 13
• If a quadrilateral is a parallelogram, then the diagonals bisect each other.
Converse of Thm 6.6
6Thursday, January 31, 13
What must be true to make ABCD a parallelogram?
7Thursday, January 31, 13
What must be true to make ABCD a parallelogram?
8Thursday, January 31, 13
What must be true to make ABCD a parallelogram?
9Thursday, January 31, 13
What must be true to make ABCD a parallelogram?
10Thursday, January 31, 13