Title: Tests For Parallelograms
1Tests For Parallelograms
2Remember.
- A parallelogram is a figure with opposite sides
parallel.
3Theorem 6.9
3
If both pairs of opposite sides of a
quadrilateral are congruent, then the
quadrilateral is a parallelogram.
4Theorem 6.10
4
If both pairs of opposite angles of a
quadrilateral are congruent, then the
quadrilateral is a parallelogram.
5Theorem 6.11
5
If the diagonals of a quadrilateral bisect each
other, then the quadrilateral is a parallelogram
6Theorem 6.12
6
If one pair of opposite sides of a quadrilateral
is both congruent and parallel, then the
quadrilateral is a parallelogram.
7Example 1
7
Is the quadrilateral a parallelogram?
8Example 2
8
Find the value of the variables for which the
quadrilateral is a parallelogram.
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