Tests For Parallelograms

1
Tests For Parallelograms

• Chapter 6 Section 3

2
Remember.

• A parallelogram is a figure with opposite sides
  parallel.

3
Theorem 6.9
3
If both pairs of opposite sides of a
quadrilateral are congruent, then the
quadrilateral is a parallelogram.
4
Theorem 6.10
4
If both pairs of opposite angles of a
quadrilateral are congruent, then the
quadrilateral is a parallelogram.
5
Theorem 6.11
5
If the diagonals of a quadrilateral bisect each
other, then the quadrilateral is a parallelogram
6
Theorem 6.12
6
If one pair of opposite sides of a quadrilateral
is both congruent and parallel, then the
quadrilateral is a parallelogram.
7
Example 1
7
Is the quadrilateral a parallelogram?
8
Example 2
8
Find the value of the variables for which the
quadrilateral is a parallelogram.
9
Enjoy your picture. ?
10
Another one ?