Proving Parallelograms

Author:
MrCarmack

Graph Quadrilateral ABCD with coordinates A(2,4), B(7,6), C(9,4), and D(4,2).

If a quadrilateral has 2 pairs of parallel sides, it is a parallelogram

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!

Graph Quadrilateral ABCD with coordinates A(0,-3), B(5,0), C(7,-1), and D(2,-4).

On any quadrilateral, if the opposite sides are congruent, then it is a parallelogram.

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!

Graph Quadrilateral ABCD with coordinates A(-3,5), B(0,6), C(4,2), and D(1,1)

On any quadrilateral, if the opposite angles are congruent, then it is a parallelogram.

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!

On any quadrilateral, if the adjacent angles are supplementary, then it is a parallelogram.

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!

Graph Quadrilateral ABCD with coordinates A(-5,3), B(3,4), C(4,2), and D(-4,1)

On any quadrilateral, if one pair of opposite sides are parallel AND congruent, then it is a parallelogram.

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!

Graph Quadrilateral ABCD with coordinates A(1,-1), B(4,1), C(8,-5), and D(5,-7)

On any quadrilateral, if the diagonals bisect each other, then it is a parallelogram.

Using this criteria, is ABCD graphed above a paralleogram? SHOW YOUR WORK!