Prove Quadrilaterals

Method #1 to prove a parallelogram

Both pairs of opposite sides are parallel

Method #2 to prove a parallelogram

Both pairs of opposite sides congruent

Method #3 to prove a parallelogram

One pair of opposite sides is congruent and parallel

Method #4 to prove a parallelogram

The diagonals bisect eachother

Method #5 to prove a parallelogram

Both pairs of opposite angles are congruent

Method #1 to prove a rhombus

The quadrilateral is a parallelogram with two congruent consecutive sides

Method #2 to prove a rhombus

The quadrilateral is a parallelogram whose diagonals are perpendicular to each other

Method #3 to prove a rhombus

The quadrilateral is equilateral

Method #4 to prove a rhombus

The quadrilateral is a parallelogram and a diagonal bisects opposite angles

Method #1 to prove a rectangle

The quadrilateral is a parallelogram with one right angle

Method #2 to prove a rectangle

The quadrilateral is equiangular

Method #3 to prove a rectangle

The quadrilateral is a parallelogram whose diagonals are congruent

Method #1 to prove a square

The quadrilateral is a rectangle with two consecutive sides congruent

Method #2 to prove a square

The quadrilateral is a rhombus with one right angle